Ground-source heat pumps were originally developed in the residential arena and are now widely applied in the commercial sector. Many of the installation recommendations and design guides appropriate to residential design must be amended for large buildings. Kavanaugh and Rafferty (1997) provide a more complete overview of design of ground-source heat pump systems. Kavanaugh (1991) and OSU (1988a, 1988b) provide a more detailed treatment of the design and installation of ground-source heat pumps, but their focus is primarily residential and light commercial applications. Comprehensive coverage of commercial and institutional design and construction of ground-source heat pump systems is provided in CSA Standard C448.
The term ground-source heat pump (GSHP) is applied to a variety of systems that use the ground, groundwater, or surface water as a heat source and sink. The general terms include ground-coupled (GCHP), groundwater (GWHP), and surface-water (SWHP) heat pumps. Many parallel terms exist [e.g., geothermal heat pumps (GHP), geo-exchange, and ground-source (GS) systems] and are used to meet a variety of marketing or institutional needs (Kavanaugh 1992). See Chapter 9 of the 2016 ASHRAE Handbook—HVAC Systems and Equipment for a discussion of the merits of various other nongeothermal heat sources/sinks.
This chapter focuses primarily on the ground heat exchanger portion of GSHP systems, although the heat pump units used in these systems are unique to GSHP technology as well. GSHP systems typically use extended-range water-source heat pump units, in most cases of water-to-air configuration. Extended-range units are specifically designed for operation at entering water temperatures between 23°F in heating mode and 104°F in cooling mode. Units not meeting the extended-range criteria are not suitable for use in GSHP systems (except for some groundwater heat pump systems). Some applications can include a free-cooling mode when water-loop temperatures fall near or below 55°F. This includes groundwater loops, deep-surface-water loops, and interior core zones of ground-coupled loops when perimeter zones require heating. This is typically accomplished by inserting a water coil in the return air stream before the refrigerant coil.
Ground-Coupled Heat Pump Systems
The GCHP is a subset of the GSHP and is often called a closed-loop heat pump. A GCHP system consists of a reversible vapor compression cycle that is linked to a closed ground heat exchanger (also called a ground loop) buried in soil (Figure 9). The most widely used unit is a water-to-air heat pump, which circulates a water or a water/antifreeze solution through a liquid-to-refrigerant heat exchanger and a buried thermoplastic piping network. Heat pump units often include desuperheater heat exchangers (shown on the left in Figure 9). These devices use hot refrigerant at the compressor outlet to heat water. A second type of GCHP is the direct-expansion (DX) GCHP, which uses a buried copper piping network through which refrigerant is circulated.
The GCHP is further subdivided according to ground heat exchanger design: vertical and horizontal. Vertical GCHPs (Figure 10) generally consist of two small-diameter, high-density polyethylene (HDPE) tubes placed in a vertical borehole that is subsequently filled with a solid medium. The tubes are thermally fused at the bottom of the bore to a close return U-bend. Vertical tubes range from 0.75 to 1.5 in. nominal diameter. Bore depths normally range from 50 to 400 ft depending on local drilling conditions and available equipment, but can go to 600 ft or more if procedures for deep boreholes are followed (see the section on Pump and Piping System Options). Boreholes are typically 4 to 6 in. in diameter.
To reduce thermal interference between individual bores, a minimum borehole separation distance of 20 ft is recommended when loops are placed in a grid pattern. This distance may be reduced when bores are placed in a single row, the annual ground load is balanced (i.e., energy released in the ground is approximately equal to the energy extracted on an annual basis), or water movement or evaporation and subsequent recharge mitigates the effect of heat build-up in the loop field.
Advantages of the vertical GCHP are that it (1) requires relatively small plots of ground, (2) is in contact with soil that varies very little in temperature and thermal properties, (3) requires the smallest amount of pipe and pumping energy, and (4) can yield the most efficient GCHP system performance. Disadvantages are (1) typically higher cost because of expensive equipment needed to drill the borehole and (2) the limited availability of contractors to perform such work.
Hybrid systems are a variation of ground-coupled systems in which a smaller ground heat exchanger is used, augmented in cooling mode by a fluid cooler or a cooling tower. This approach can have merit in large cooling-dominated applications. The ground heat exchanger is sized to meet the heating requirements. The downsized loop is used in conjunction with the fluid cooler or cooling tower with an isolation heat exchanger to meet the heat rejection load. Using the cooler reduces the capital cost of the ground heat exchanger in such applications, but somewhat increases maintenance requirements. For heavily heating-dominant applications, a downsized loop also can be augmented with an auxiliary heat source such as electric resistance, solar collectors, or fossil fuel.
Horizontal GCHPs (Figure 11) can be divided into several subgroups, including single-pipe, multiple-pipe, spiral, and horizontally bored. Single-pipe horizontal GCHPs were initially placed in narrow trenches at least 4 ft deep. These designs require the greatest amount of ground area. Multiple pipes (usually two, four, or six), placed in a single trench, can reduce the amount of required ground area. Trench length is reduced with multiple-pipe GCHPs, but total pipe length must be increased to overcome thermal interference from adjacent pipes. The spiral coil is reported to further reduce required ground area. These horizontal ground heat exchangers are made by stretching small-diameter polyethylene tubing from the tight coil in which it is shipped into an extended coil that can be placed vertically in a narrow trench or laid flat at the bottom of a wide trench. Recommended trench lengths are much shorter than those of single-pipe horizontal GCHPs, but pipe lengths must be much longer to achieve equivalent thermal performance. When horizontally bored loops are grouted and placed in the deep earth, as shown in the bottom of Figure 11, design lengths are near those for vertical systems, because annual temperature and moisture content variations approach deep-earth values.
Advantages of horizontal GCHPs are that (1) they are typically less expensive than vertical GCHPs because relatively low-cost installation equipment is widely available, (2) many residential applications have adequate ground area, and (3) trained equipment operators are more widely available. Disadvantages include, in addition to a larger ground area requirement, (1) greater adverse variations in performance because ground temperatures and thermal properties fluctuate with season, rainfall, and burial depth; (2) slightly higher pumping-energy requirements; and (3) lower system efficiencies. OSU (1988a, 1988b), Remund and Carda (2014), and Svec (1990) cover the design and installation of horizontal GCHPs.
Groundwater Heat Pump Systems
The second subset of GSHPs is groundwater heat pumps (Figure 12). Until the development of GCHPs, they were the most widely used type of GSHP. In the commercial sector, GWHPs can be an attractive alternative because large quantities of water can be delivered from and returned to relatively inexpensive wells that require very little ground area. Whereas the cost per unit capacity of the ground heat exchanger is relatively constant for GCHPs, the cost per unit capacity of a well water system is much lower for a large GWHP system. A single pair of high-volume wells can serve an entire building. Properly designed groundwater loops with correctly developed water wells require no more maintenance than conventional air and water central HVAC. When groundwater is injected back into the aquifer by a second well, net water use is zero.
One widely used design places a central water-to-water heat exchanger between the groundwater and a closed water loop, which is connected to water-to-air heat pumps in the building. A second possibility is to circulate groundwater through a heat recovery chiller (isolated with a heat exchanger), and to heat and cool the building with a distributed hydronic loop.
Both types and other variations may be suited for direct preconditioning in much of the United States. Groundwater below 60°F can be circulated directly through hydronic coils in series or in parallel with heat pumps. The cool groundwater can displace a large amount of energy that would otherwise have to be generated by mechanical refrigeration.
Advantages of GWHPs under suitable conditions are (1) they cost less than GCHP equipment, (2) the space required for the water well is very compact, (3) water well contractors are widely available, and (4) the technology has been used for decades in some of the largest commercial systems.
Disadvantages are that (1) local environmental regulations may be restrictive, (2) water availability may be limited, (3) fouling precautions may be necessary if groundwater is used directly in the heat pumps and water quality is poor, and (4) pumping energy may be high if the system is poorly designed or draws from a deep aquifer.
Surface Water Heat Pump Systems
Surface water heat pumps are included as a subset of GSHPs because of the similarities in applications and installation methods. SWHPs can be either closed-loop systems similar to GCHPs or open-loop systems similar to GWHPs. However, the thermal characteristics of surface water bodies are quite different than those of the ground or groundwater. Some unique applications are possible, though special precautions may be warranted.
Closed-loop SWHPs (Figures 13 and 34) consist of water-to-air or water-to-water heat pumps connected to a piping network (also called a surface water loop) placed in a lake, river, or other open body of water. A pump circulates water or a water/antifreeze solution through the heat pump water-to-refrigerant heat exchanger and the submerged piping loop, which transfers heat to or from the body of water. The recommended piping material is thermally fused HDPE tubing with ultraviolet (UV) radiation protection.
Advantages of closed-loop SWHPs are (1) relatively low cost (compared to GCHPs) because of reduced excavation costs, (2) low pumping-energy requirements, (3) low maintenance requirements, and (4) low operating cost. Disadvantages are (1) the possibility of coil damage in public lakes and (2) wide variation in water temperature with outdoor conditions if lakes are small and/or shallow. Such variation in water temperature would cause undesirable variations in efficiency and capacity, though not as severe as with air-source heat pumps.
Open-loop SWHPs can use surface water bodies the way cooling towers are used, but without the need for fan energy or frequent maintenance. In warm climates, lakes can also serve as heat sources during winter heating mode, but in colder climates where water temperatures drop below 45°F, closed-loop systems are the only viable option for heating.
Lake water can be pumped directly to water-to-air or water-to-water heat pumps or through an intermediate heat exchanger that is connected to the units with a closed piping loop. Direct systems tend to be smaller, having only a few heat pumps. In deep lakes (40 ft or more), there is often enough thermal stratification throughout the year that direct cooling or precooling is possible. Water can be pumped from the bottom of deep lakes through a coil in the return air duct. Total cooling is possible if water is 50°F or below. Precooling is possible with warmer water, which can then be circulated through the heat pump units. Large-scale cooling-only systems have been deployed successfully in some locations, including Cornell University and the city of Toronto [Cornell University 2006; Enwave (no date)].
Site characteristics influence the type of GSHP system most suitable for a particular location. Site characterization is the evaluation of a site’s geology and hydrogeology with respect to its effect on GSHP system design. Important issues include presence or absence of water, depth to water, water (or soil/rock) temperature, groundwater quality, depth to rock, rock type, and the nature and thickness of unconsolidated materials overlying the rock. Information about the nature of water resources at the site helps to determine whether an open-loop system may be possible. Depth to water affects pumping energy for an open-loop system and possibly the type of rig used for drilling closed-loop boreholes. Groundwater temperature in most locations is the same as the undisturbed ground temperature. These temperatures are key inputs to the design of GSHP systems. The types of soil and rock allow a preliminary evaluation of the range of thermal conductivity/diffusivity that might be expected. The thickness and nature of the unconsolidated (soil, gravel, sand, clay, etc.) materials overlying the rock influence whether casing is required in the upper portion of boreholes for closed-loop systems, a factor which increases drilling cost.
After the GSHP system type has been decided, specific details about the subsurface materials’ (rock/soil) thermal conductivity and diffusivity, water well static and pumping levels, drawdown, etc., are necessary to design the system. Ways to obtain these more detailed data are discussed in other parts of this chapter.
There are many sources for gathering site characterization information, such as geologic and hydrologic maps, state geology and water regulatory agencies, the U.S. Geological Survey (USGS 2000), and any information that may be available from geotechnical studies of the site. Among the best sources of information are completion reports for nearby water wells. These reports are filed by the driller upon completion of a water well and provide a great deal of information of interest for both open- and closed-loop designs. The most thorough versions of well completion reports (level of detail varies by state) cover all of the issues of interest listed at the beginning of this section. Information about access to and interpretation of these reports and other sources of information for site characterization is included in Rafferty (2000a) and Sachs (2002).
Once the type of system has been selected, more site-specific tests (ground thermal properties test for GCHP or well flow test for GWHP) can be used to determine the parameters necessary for system design. In many areas, ground heat exchangers are regulated by the state or other jurisdictions and under the jurisdiction of a state water rights authority, department of natural resources or environmental quality, or possibly a federal agency such as the U.S. Army Corps of Engineers. The regulation scope may include any type of ground-coupled system. The engineer or designer should be aware of and versed in regulatory issues affecting the project site. More recently, the U.S. Department of Homeland Security has required that certain activities, especially those close to drinking water sources, be excluded or stringently regulated. For security reasons, resource protection zones may not be found in public records archives. The simplest solution may be to contact the permitting authority.
Commissioning GSHP Systems
The design phase of GSHP commissioning requires a thorough site survey and characterization, accurate load modeling, and ensuring that the design chosen (and its documentation) meets the design intent.
The construction phase is dominated by observation of installation and verification of prefunctional checks and tests. It also involves planning, training development, and other activities to help future building operators understand the HVAC system.
The acceptance phase starts with functional tests and verification of all test results. It continues with full documentation: completing the commission report to include records of design changes and all as-built plans and documents, and completing the operations and maintenance manual and system manual. Finally, after system testing and balancing is complete, the owner’s operating staff are trained. The acceptance phase ends when “substantial completion” is reached. The warranty period begins from this date.
Table 3 provides information on tasks and participants involved in the GSHP commissioning process. Additional details on this topic, along with preventive maintenance and troubleshooting information, are included in Caneta Research (2001).
3.2 GROUND-COUPLED HEAT PUMP SYSTEM DESIGN
Ground-coupled heat pumps use a thermoplastic heat exchanger to transfer heat to/from the ground. This section discusses how to design components of such a system, including options for different configurations.
This section provides an overview of a suggested design procedure for vertical, ground-coupled systems; related information and equations are discussed in more detail in Kavanaugh and Rafferty (1997). Several public software programs are available for performing the repetitive computations necessary for system optimization. Shonder et al. (1999, 2000) tested the accuracy of these programs, and agreement was attained with several programs in subsequent evaluations.
A more recent publication (Kavanaugh 2008) updates the design recommendations for GCHP systems as follows:
Calculate peak zone cooling and heating loads, and estimate off-peak loads.
Estimate annual heat rejection into and absorption from the ground heat exchanger to account for potential ground temperature change (see Tables 7 and 8).
Select preliminary loop operating temperatures and flow rate to begin optimization of first cost and efficiency (selecting temperatures near normal ground temperature results in high efficiencies but larger and more costly ground heat exchangers).
Correct heat pump performance at rated conditions to actual design conditions (see Table 14).
Select heat pumps to meet cooling and heating loads, and locate units to ensure accessibility for maintenance and to minimize duct cost and fan power and noise.
Arrange heat pump into ground heat exchanger circuits to minimize system cost, pump energy and electrical demand (see Figures 20 to 22).
Conduct site survey to determine ground thermal properties and drilling conditions (see following recommendations).
Determine and evaluate possible loop field arrangements that are likely to be optimum for the building and site (bore depth, separation distance, completion methods, annulus grout/fill, and header arrangements); include subheader circuits (typically 5 to 15 U-tubes on each) with isolation valves to allow air and debris flushing of sections of loop field through a set of full-port purge valves.
Determine optimum ground heat exchanger dimensions with Equations (4) and (5) or software; one or more alternatives (depth, number of bores, grout/fill material, etc.) that provide equivalent performance may yield more competitive bids.
Iterate to determine optimum operating temperatures, flows, loop field arrangement, depth, bores, grout/fill materials, etc.
Lay out interior piping and compute head loss through critical path.
Select pumps and control method, determine system efficiency, and consider modifying water distribution system if pump demand exceeds 8% of the system total demand or air distribution system if fan demand exceeds 12% of the system total.
Deliverables from this process that are necessary to adequately describe a GCHP installation include, as a minimum,
Heat pump specifications at rated conditions
Pump(s) specifications, expansion tank size, and air separator
Fluid specifications: system volume, inhibitors, antifreeze concentration (if required), water quality, etc.
Design operating conditions: entering and leaving ground heat exchanger temperatures, return air temperatures (including wet bulb in cooling), airflow rates, and liquid flow rates
Pipe header details with ground heat exchanger layout, including pipe diameters, spacing, and clearance from building and utilities
Bore depth and approximate bore diameter
Piping material specifications, and visual inspection and pressure testing requirements
Grout/fill specifications: thermal conductivity and acceptable placement methods to eliminate voids
Purge provisions and flow requirements to ensure removal of air and debris without reinjecting air when switching to adjacent subheader circuits
Instructions on connecting to building loop(s) and coordinating building and ground heat exchanger flushing
If applicable, a drilling report from the thermal properties test borehole that includes the type of equipment used (rig, bit, etc.), drilling fluid (air, foam, drilling mud), depth of hole, description of drilled soil or rock, time needed to drill the borehole, any special conditions encountered.
Sequence of operation for controls
Thermal Property Testing. In the design of vertical GCHPs, accurate knowledge of soil/rock formation thermal properties is critical. These properties can be estimated in the field by installing a loop of approximately the same size and depth as the heat exchangers planned for the site. The test loop location should be chosen with care, and designed to be used for the eventual full borefield, especially if geothermal is a likely final system choice (this may require the test loop to meet all local ground heat exchanger standards). Heat is added in a water loop at a constant rate, and data are collected as shown in Figure 14. Inverse methods are applied to find thermal conductivity, diffusivity, and temperature of the formation. These methods are based on the either the line source (Gehlin 1998; Mogensen 1983; Witte et al. 2002), the cylindrical heat source (Ingersoll and Zobel 1954), or a numerical algorithm (Austin et al. 2000; Shonder and Beck 1999; Spitler et al. 1999). More than one of these methods should be applied, when possible, to enhance reported accuracy. Recommended test specifications are as follows (Kavanaugh 2000, 2001):
Thermal property tests should be performed for 36 to 48 h.
Heat rate should be 15 to 25 W/ft of bore, which are the expected peak loads on the U-tubes for an actual heat pump system.
Standard deviation of input power should be less than ±1.5% of the average value and peaks less than ±10% of average, or resulting temperature variation should be less than ±0.5°F from a straight trend line of a log (time) versus average loop temperature.
Accuracy of temperature measurement and recording devices should be ±0.5°F.
Combined accuracy of the power transducer and recording device should be ±2% of the reading.
Flow rates should be sufficient to provide a differential loop temperature of 6 to 12°F. This is the temperature differential for an actual heat pump system.
A waiting period of five days is suggested for low-conductivity soils (k < 1.0 Btu/h · ft · °F) after the ground heat exchanger has been installed and grouted (or filled) before the thermal conductivity test is initiated. A delay of three days is recommended for higher-conductivity formations (k > 1.0 Btu/h · ft · °F).
The initial ground temperature measurement should be made at the end of the waiting period by directly inserting a probe inside a liquid-filled ground heat exchanger at three locations, representing the average, or by temperature measurement as liquid exits the loop during the period immediately after start-up.
Data collection should be at least once every 10 min.
All aboveground piping should be insulated with a minimum of 0.5 in. closed-cell insulation or equivalent. Test rigs should be enclosed in a sealed cabinet that is insulated with a minimum of 1.0 in. fiberglass insulation or equivalent.
If retesting a bore is necessary, loop temperature should be allowed to return to within 0.5°F of the pretest initial ground temperature. This typically requires a 10 to 12 day delay in mid- to high-conductivity formations and 14 days in low-conductivity formations if a complete 48 h test has been conducted. Waiting periods can be proportionally reduced if tests were shorter.
Ground Heat Exchanger Sizing. This is perhaps the most critical step in design of a vertical GCHP. Ground-loop design methods must proceed with limited information; a major missing component is long-term, field-monitored data, which are needed to further validate the design method to address effects of water movement and long-term heat storage more fully. The conservative designer can assume no benefit from water movement; designers who assume maximum benefit must ignore annual imbalances in heat rejection and absorption.
Two design methods are presented in the following section. Both methods have been implemented in design software tools, and are based on the assumption that heat transfer in the ground is governed by conduction only. The first method is based on the solution of the equation for heat transfer from a cylinder buried in the earth. This equation was developed and evaluated by Carslaw and Jaeger (1947) and was suggested by Ingersoll and Zobel (1954) as an appropriate method of sizing ground heat exchangers. Kavanaugh (1985) adjusted the method to account for the U-bend arrangement and hourly heat rate variations. Alternative design methods are described by Eskilson (1987), Morrison (1997), Philippe et al. (2010), Spitler (2000), and Spitler et al. (2000). A second method, attributed to Eskilson, is presented after this first method.
Vertical Ground Heat Exchanger Sizing. The method of Ingersoll and Zobel (1954), based on the following steady-state heat transfer equation, can be used to size vertical ground heat exchangers:
where
| q | = | heat transfer rate, Btu/h |
| L | = | required bore length, ft |
| tg | = | ground temperature, °F |
| tw | = | liquid temperature, °F |
| Rov | = | overall resistance of ground and bore, ft · h · °F/Btu |
The heat rate delivered to the ground in the cooling mode by the condenser includes the heat of the heat pump and auxiliary equipment. Thus, qcond can be calculated to be
where
| qcond | = | heat pump condenser heat rejection rate to ground, Btu/h |
| qlc | = | building design cooling block load, Btu/h |
| qlh | = | building design heating block load, Btu/h |
However, the heat of the heat pump and auxiliary equipment in the heating mode is delivered to the building. Thus the heat removed from the ground by the evaporator is
where qevap is the heat pump evaporator heat extraction rate from ground, and qlh is the building design heating block load, both of which are in Btu/h.
The equation is rearranged to solve for the required bore length L. The steady-state equation is modified to represent the variable heat rate of a ground heat exchanger by using a series of constant-heat-rate “pulses.” Thermal resistance of the ground per unit length is calculated as a function of time corresponding to the time span over which a particular heat pulse occurs. The term Rb is also included to account for thermal resistance of the borehole, which includes the thermal resistance of the pipe wall and interfaces between the pipe and fluid and the pipe and the ground. The resulting equation takes the following form for required length to satisfy cooling loads:
The required length for heating is
where
| Fsc | = | short-circuit heat loss factor |
| Lc | = | required bore length for cooling, ft |
| Lh | = | required bore length for heating, ft |
| PLFm | = | part-load factor during design month |
| qa | = | net annual average heat transfer to ground, Btu/h |
| Rga | = | effective thermal resistance of ground (annual pulse), ft · h · °F/Btu |
| Rgst | = | effective thermal resistance of ground (peak short term) 1 to 6 hours recommended, ft · h · °F/Btu |
| Rgd | = | effective thermal resistance of ground (peak daily pulse: 1 h minimum, 4 to 6 h recommended), ft · h · °F/Btu |
| Rgm | = | effective thermal resistance of ground (monthly pulse), ft · h · °F/Btu |
| Rb | = | thermal resistance of bore, ft · h · °F/Btu |
| tg | = | undisturbed ground temperature, °F |
| tp | = | temperature penalty for interference of adjacent bores, °F |
| twi | = | liquid temperature at heat pump inlet, °F |
| two | = | liquid temperature at heat pump outlet, °F |
| Wc | = | system power input at design cooling load, W |
| Wh | = | system power input at design heating load, W |
Note: Heat transfer rate, building loads, and temperature penalties are positive for heating and negative for cooling.
Equations (4) and (5) consider three different pulses of heat to account for long-term heat imbalances, average monthly heat rates during the design month, and maximum heat rates for a short-term period during a design day. This period could be as short as 1 h, but a 4 to 6 h block is recommended.
The required total bore length is the larger of the two lengths Lc and Lh calculated with Equations (4) and (5). If Lc is larger than Lh, an oversized coil could be beneficial during the heating season. A second option is to install the smaller heating length along with a cooling tower to compensate for the undersized coil (see the section on Hybrid System Design). If Lh is larger, the designer should install this length, and during cooling mode the efficiency benefits of an oversized ground coil could be used to compensate for the higher first cost.
Thermal resistance of the ground is calculated from ground properties, pipe dimensions, and operating periods of the representative heat rate pulses. Table 4 lists typical thermal properties for soils and fills for the annular region of the boreholes. Type of fill material depends on thermal, regulatory, and economic considerations. Historically, a relatively low-thermal-conductivity bentonite grout common in the water well industry had been used. More recently, thermally enhanced materials have been developed to supplement or replace conventional grouts. In some cases, drill cuttings or a manufactured sand/gravel mix have been placed instead. Note that placing such fill material from the surface may cause the borehole to bridge, leaving voids or ungrouted sections of the borehole, so using a tremie pipe to inject fill from the bottom upward is recommended. Additionally, using any pumped grout in a formation with large voids, karst, or caverns can also result in voids through grout settling or flowing out of the borehole. Nutter et al. (2001) contains a detailed evaluation of potential fills and grouts for vertical boreholes. Also, Jenkins (2009), Sachs (2002), and Skouby (2011) have additional recommendations regarding grout and grout placement.
Table 5 summarizes potential completion methods for various geological conditions. “Two-fill” refers to the practice of placing a low-permeability material in the upper portion of the hole and/or in intervals where it is required to separate individual aquifers, and a more thermally advantageous material in the remaining intervals.
The thermal resistance of the ground heat exchanger vertical bore considers the effects of pipe resistance Rp and bore annulus grout resistance Rgrt.
Pipe resistance includes the convective film resistance of the fluid and the conductive resistance of the pipe walls. Contact resistances are negligible compared to the high resistance of plastic pipe walls and annular grouts. For a single U-tube (two tubes) the pipe resistance is
where hconv is the convection coefficient inside the pipes and kp is pipe thermal conductivity.
A correlation for the grout’s thermal resistance has been developed using shape factor correlations (Remund 1999):
where kgrt is grout thermal conductivity. Coefficients β0 and β1 in Equation (8) have been developed for three locations of the tubes, as shown in Figure 15: centered in the bore and in contact each other (A), centered and spaced evenly in the bore (B), and centered and in contact with the bore wall (C). However, the most likely location of the U-tubes is BC, and coefficients for this location are unavailable. A similar but slightly more detailed solution has been developed by Hellström (1991) and applied to a few design and simulation tools (Liu 2008; Philippe et. al. 2010).
Because locations of U-tubes cannot be determined even when spacers are installed, exact computation of bore resistance values is somewhat uncertain. It is possible to apply the results from thermal property tests to calculate the bore resistance if the U-tube dimensions, grout conductivity and borehole diameter are known (Kavanaugh 2010). Thermal property tests were conducted at 15 installations where these values were known and the bore resistance was calculated. The field calculated bore resistances best matched the values computed with Equations (6) to (8) using
Location C at 4 (27%) of the sites
An average of location B and location C at 5 (33%) of the sites
Location B at 5 (33%) of the sites, and
Location A at 1 (7%) site
Table 6 provides the bore resistances computed using Equations (6) to (8) for three different grout conductivities, three different fluid flow regimes (laminar, transition, and fully turbulent), three different U-tubes sizes, and three different bore diameters for location B, and location C. The resistance is also computed a double U-tube in a bore. These values were calculated with a value of kp equal to 0.24 Btu/h · ft · °F. Designers can choose to use the values of location B (conservative), BC (average), C (risky), or Double.
The most difficult parameters to evaluate in Equations (4) and (5) are the equivalent thermal resistances of the ground. The solutions of Carslaw and Jaeger (1947) require that the time of operation, bore diameter, and thermal diffusivity of the ground be related in the dimensionless Fourier number (Fo):
where
| αg | = | thermal diffusivity of the ground, ft2/day |
| τ | = | time of operation, days |
| db | = | bore diameter, ft |
The method may be modified to permit calculation of equivalent thermal resistances for varying heat pulses. A system can be modeled by three heat pulses: a 10 year (3650 day) pulse of qa, a 1 month (30 day) pulse of qm, and a 4 h (0.167 day) pulse of qst. Three times are defined as
The Fourier number is then computed with the following values:
An intermediate step in computing the ground’s thermal resistance using the methods of Ingersoll and Zobel (1954) is to identify a G-factor, which is then determined from Figure 16 for each Fourier value. [The algorithm proposed by Cooper (1976) provides an alternative to the use of Figure 15.]
Correlations for the values of Rga, Rgm, and Rgst were presented by Philippe et al. (2010) for a wide range of conditions.
Ranges of the ground thermal conductivity kg are given in Table 6. State geological surveys are a good source of soil and rock data. However, geotechnical site surveys are highly recommended to determine load soil, rock types, and drilling conditions.
Performance degrades somewhat because of short-circuiting heat losses between the upward- and downward-flowing legs of a conventional U-bend loop. This degradation can be accounted for by introducing the short-circuit heat loss factor [Fsc in Equations (4) and (5)] in the following table. Normally U-tubes are piped in parallel to the supply and return headers. Occasionally, when bore depths are shallow, two or three loops can be piped in series. In these cases, short-circuit heat loss is reduced; thus, the values for Fsc are smaller than that for a single bore piped in parallel.
The remaining terms in Equations (4) and (5) are temperatures. The local deep-ground temperature tg can best be obtained from local water well logs and geological surveys. A second, less accurate source is a temperature contour map, similar to Figure 17, prepared by state geological surveys. A third source, which can yield ground temperatures within 4°F, is a map with contours, such as Figure 18. Comparison of Figures 17 and 18 indicates the complex variations that would not be accounted for without detailed contour maps.
Selecting the temperature twi of water entering the unit is critical in the design process. Choosing a value close to ground temperature results in higher system efficiency, but makes the required ground coil length very long and thus unreasonably expensive. Choosing a value far from tg allows selection of a small, inexpensive ground coil, but the system’s heat pumps will have both greatly reduced capacity and increased electric demand. Selecting twi to be 20 to 30°F higher than tg in cooling and 10 to 20°F lower than tg in heating is a good compromise between first cost and efficiency in many regions of the United States.
A final temperature to consider is the temperature penalty tp resulting from thermal interferences from adjacent bores. The designer must select a reasonable separation distance to minimize required land area without causing large increases in the required bore length (Lc, Lh). Table 7 presents the temperature penalty for a 10 by 10 vertical grid of bores for various operating conditions after 10 years of operation in a nonporous soil where cooling effects from moisture evaporation or water movement do not mitigate temperature change (Kavanaugh 2003; Kavanaugh and Rafferty 1997). Correction factors are included to find the temperature penalty for four other grid patterns. Note that the higher the number of internal bores, the larger the correction factor.
In the table, adjustments are made to the number of equivalent full-load hours (EFLHs) in cooling and heating that correspond to values consistent with the local ground temperature. To mitigate long-term heat build-up for small separation distances, the required heat exchanger length is extended to maintain good system efficiencies. Larger separation distances result in shorter required lengths and smaller temperature changes, because there is greater thermal capacity available and greater area to diffuse heat to the far field.
The table applies only to a limited number of specific cases and is not intended for application to actual designs. It is intended to demonstrate trends for various ground temperatures, hours of operation in heating and cooling, and bore separation distances. Note that values of tp in the table are significantly different from those obtained using the approach presented by Bernier et al. (2008).
Smaller bore lengths per ton of peak block load result in larger temperature changes; the relationship between bore length and temperature change is inverse and linear.
Table 7 applies only to a limited number of specific cases and is not intended for application to actual designs. It is intended to demonstrate trends for various ground temperatures, hours of operation in heating and cooling, and bore separation distances. Note that values of tp in the table are significantly different from those obtained using the approach presented by Bernier et al. (2008). Values represent worst-case scenarios, and the temperature change is usually mitigated by groundwater recharge (vertical flow), groundwater movement (horizontal flow), and evaporation (and condensation) of water in the soil.
Groundwater movement strongly affects the long-term temperature change in a densely packed bore field (Chiasson et al. 2000a). A related factor is the evaporative cooling effect experienced with heat addition to the ground. Although thermal conductivity is somewhat reduced with lower moisture content (see Table 5), the net effect is beneficial in porous soils when water movement recharges the ground to original moisture levels. A similar effect may be experienced in cold climates when soil moisture freezes and the heat of solidification mitigates excessive temperature decline. Because these effects have not been thoroughly studied, the design engineer must establish a range of design lengths between one based on minimal groundwater movement, as in very tight clay soils with poor percolation rates, and a second based on the higher rates characteristic of porous aquifers.
Kavanaugh and Kavanaugh (2012) examined ground heat exchanger performance in 40 commercial buildings with vertical ground heat exchangers and between 5 and 25 years of operation. They calculated maximum approach temperature (difference between average loop temperatures twi and two and initial ground temperature tg) for all of the buildings; higher approach temperatures as years of operation increased would indicate an increase in ground temperature and raise concern about the expected life of ground heat exchangers with imbalanced cooling loads compared to heating loads.
In fact, the data suggested that older GSHP systems had lower approach temperatures. Results were not adjusted for many important factors such as vertical bore length, ground thermal properties, and vertical bore separation distance. Newer systems tended to have slightly shorter ground heat exchangers, but this was offset somewhat by the older systems’ tendency to have smaller vertical bore separation distances and lower conductivity grout and fill. Of the loops with the largest approach, three of the newer systems had vertical bore lengths less than 120 ft/ton. Two systems with long loops but large approach temperatures had low thermal conductivity grout (0.38 Btu/h · ft · °F), 15 ft bore separation, and indoor air temperatures below 70°F.
The study’s data set is small, and significant long-term temperature change cannot be excluded at this point. Although much more field study is desirable, the absence of any significant trend of increased ground temperature (noted by elevation of maximum approach temperature) with increased years of GSHP operation suggests that long-term ground temperature change is not prevalent in properly designed GSHPs.
Results from this project cannot be applied to long-term temperature decline in which the amount of heat removed from the ground in heating far exceeds the heat rejected in cooling. In cold climates the heat capacity available at the freeze point of water is significant but the impact on grout thermal and physical properties also needs further field study.
The long-term temperature change table and a commonly used software for GCHP system design both use EFLH calculations. To the extent that annual loads are proportional to peak loads, the equivalent full-load hours method provides a simple estimate of annual loads from peak loads. The EFLHs in Table 8 provide a quick means to estimate annual loads needed to size ground heat exchangers at the initial feasibility study phase of a project. Because EFLHs vary with changes in both annual loads and peak loads, not all building parameters effects are included in EFLHs. For instance, building operating hours change annual loads by increasing the amount of time that internal gains are at elevated levels, but they do not change the peak load. Occupancy hours can add load without increasing the installed capacity, thereby changing the EFLHs. Furthermore, changes in other parameters, such as internal gains, do not necessarily scale with system capacity in the same proportion as annual load, again leading to changing EFLHs. Potential users of EFLHs must understand these sources of variability to use them effectively (Carlson 2001).
Example 1.
Size a vertical ground-coupled heat pump system for a six-zone classroom addition in Atlanta, GA. The addition has a peak cooling (block) load qlc of 247,000 Btu/h and a peak heating (block) load qlh of 160,000 Btu/h. The design monthly part-load factor PLFm is 0.28.
Ground temperature tg = 65°F
Ground conductivity kg and diffusivity αg = 1.4 Btu/h · ft · °F, 1.0 ft2/day
Bore fill conductivity kb = 1.0 Btu/h · ft · °F
Vertical U-tube = 1.0 in. nominal, DR11, HDPE, 5 in. borehole diameter
2 × 10 grid (20 vertical bores) with 20 ft separation
Heat pump inlet and outlet temperatures twi and two = 85 and 95°F
Heat pump cooling and heating efficiency (EER, COP) = 14.9 Btu/Wh, 4.4
10 year (3650 day), 1 month (30 day), and 4 h (0.167 day) heat pulse analysis:
EFLHc = 760 h, EFLHh = 245 h (Table 8, Average Atlanta values for school)
Rb = 0.185 h · ft · °F/Btu (average of Locations B and C, kgrout = 1.0 Btu/h · ft · °F, transition flow).
The required total bore length, assuming no long-term ground temperature change (tp = 0) caused by moisture evaporation and subsequent groundwater recharge is
For nonporous soils, a 2 × 10 grid on 20 ft bore centers with EFLHc = 1000 h and EFLHh = 500 h (i.e., the example building operates 515 h more in cooling than in heating), the temperature penalty from Table 7 is
Repeat the process using Equation (5) to find the bore length for heating Lh. The design bore length is the larger value of Lc and Lh.
Alternative Sizing Method. The preceding traditional design method has several advantages. For instance, the effective ground thermal resistances Rga, Rgm, and Rgst and the temperature penalty tp are assumed to be independent of borehole length. This implies that the design length can be determined by solving a relatively simple equation. In contrast, the following method, used in some software design tools, is more complex and involves an iterative process to evaluate the design length.
Thermal response factors, also known as g-functions (not to be confused with the G-factor) may be used as an alternative to calculate the ground thermal resistance required in Equations (4) and (5). The concept was first introduced by Eskilson (1987) and extended to short-time steps by Yavuzturk and Spitler (1999).The g-functions give a relation between the heat extracted (or rejected) from the ground per unit borehole length qL and the borehole wall temperature Tb. The borehole wall temperature is given by
where g represents the g-function. As shown in Equation (13), which depend on three non-dimensional parameters: B/H, the ratio of the borehole spacing over the borehole length; rb/H, the ratio of the borehole radius over the borehole length; and t/ts, a nondimensional time where ts is a characteristic time (= H2/9αg). Typical g-functions curves are presented in Figure 19 for a 3 × 2 bore field.
The g-function curves are presented graphically in Figure 19 as a function of ln (t/ts) for six bore field spacings (B/H) and for a value of rb/H = 0.0005. The curve for B/H= ∞ corresponds to the g-function of a single borehole. One of the major advantages of these nondimensional curves is that they apply to any 3 × 2 bore field.
Eskilson (1987) provides g-function curves for a number of bore field geometries. Design software tools that use the g-function concept have a relatively large data set of g-function curves to choose from. Eskilson (1987) calculated g-functions using two-dimensional transient finite-difference equations on a radial-axial coordinate system for a single borehole in homogeneous ground. The temperature fields from a single borehole were superimposed in space to obtain the response from a borehole field with a certain configuration.
Example 2.
Boreholes in a 3 × 2 bore field have the following characteristics: rb = 2 in., H = 328 ft, and B = 16.4 ft. The undisturbed ground temperature is 59°F, the thermal conductivity is 0.87 Btu/h · ft · °F, and the thermal diffusivity is 1.04 ft2/day. What is the resulting borehole wall temperature after 10 years of heat extraction at an average rate of 5.2 Btu/h per foot of bore?
Evaluation of the three non-dimensional parameters lead to: rb/H = 0.0005, B/H = 0.05, ts = 31.5 years and ln (t/ts) = −1.15. According to Figure 19, the resulting g-function is 12.3. Using Equation (13), the borehole wall temperature is then equal to 47.3°F.
The g-functions can be used to determine the design length of a bore field. One possible approach is to use Equations (4) and (5) but with two modifications. First, when g-functions are used, thermal interference among boreholes is implicitly accounted for and tp can be eliminated. Second, the values of Rga, Rgm, and Rgst are now based on g-functions. Hence, Equations (10) to (12) take the following forms:
where g(ts – ty) is the g-function evaluated at ln[(tx – ty)/ts] for a given bore field and B/H ratio. Note that determining L (i.e., nb × H, where nb is the number of boreholes) is an iterative process because Rga, Rgm, and Rgst depend on H, which is unknown beforehand. Thus, software tools are often required to accomplish this task. Because g-functions account for 3D heat transfer in the borefield, they are considered to be more accurate than the G-factors, which derive from a radial-only heat transfer model.
Example 3.
A building has a cooling block load of 15 tons with a corresponding value of qcond = −225,200 Btu/h. The annual ground imbalance qa = −10,236 Btu/h, PLFm = 0.30, and FSC = 1.0. The 3 × 2 bore field has the following characteristics: rb = 2 in., B = 16.4 ft, and Rb = 0.173 h · ft · °F/Btu. The undisturbed ground temperature is 50°F, the thermal conductivity is 1.93 Btu/h · ft · °F, and the thermal diffusivity is 1.04 ft2/day × 10−6. Calculate the equivalent thermal resistances Rga, Rgm, and Rgst for three consecutive heat pulses of 10 years, 1 month, and 6 hours and the total required length if the maximum mean fluid temperature in the borehole is to be kept below 95°F.
From the problem statement, tf = 3680.25 days, t2 = 3680 days, and t1 = 3650 days. After iterations, this leads to g(tf) = 12.34, g(tf – t1) = 3.99, and g(tf – t2) = 1.55; and Rga = 0.689 h · ft · °F/Btu, Rgm = 0.201 h · ft · °F/Btu, and Rgst = 0.128 h · ft · °F/Btu; and
Thus, 321 ft per bore is required with a borehole spacing of 16.4 ft. This represents a length of 131 ft per ton.
Simulation of Ground Heat Exchangers
After the design length has been determined, it is often necessary to evaluate the outlet fluid temperature of a bore field as a function of time, generally on an hourly basis, and estimate the annual heat pump energy consumption. Energy simulation can be used to compute this temperature (they can also be used iteratively to assist in sizing the ground heat exchanger). Some energy simulation programs use the duct ground storage (DST) model introduced by Hellström (1989) to evaluate the outlet fluid temperature of a bore field as a function of time. Yavuzturk and Spitler (1999) describe the calculation method behind the DST model.
The DST model calculates the transient thermal process in densely packed borehole fields. The boreholes are assumed to be evenly distributed within a cylindrical storage region in the ground. Although the DST model was originally intended to simulate borehole thermal energy storage (BTES) systems, it has been used to simulate ground source heat pump systems.
Other energy simulation programs have a g-function-based routine to evaluate the outlet fluid temperature of a bore field as a function of time (Fisher et al. 2006; Liu 2008). The following analysis is intended to give only the salient features of an hourly simulation based on g-functions. As an example, assuming that FSC = 1 and that the borehole length and the inlet fluid temperature are known, and that the heat transfer rates for three consecutive time intervals (0 to t1, t1 to t2, and t2 to t3) are given by Q1, Q2, and Q3, then, using temporal superposition, the mean fluid temperature at the end of the third time interval is given by
with Tm = (Twi + Two)/2.
Based on the work of Yavuzturk and Spitler (1999), Equation (17) can be generalized for n time steps as follows:
Solving Equation (18) can be computationally intensive if the number of time steps is large, because there is no recurrence in the summation term. In other words, the calculations performed at time step n – 1 cannot be used at time step n, and the ground loop loading history must be updated at each time step. Load aggregation is typically used to reduce the number of terms in the summation without sacrificing accuracy. It is based on the fact that recent ground loads have a more significant effect on the current mean fluid temperature than distant ground loads. For example, in the case of hourly simulations, the determination of Tm at the end of a year would require a summation of 8760 hourly terms according to Equation (18). One possible alternative is to aggregate (i.e., average) the ground loads of the first 8000 hours, then aggregate the next 730 hours and keep intact the last 30 hours. The summation term would then be reduced to 32 terms. Other aggregation schemes have been proposed by Bernier et al. (2004), Liu (2005), and Yavuzturk and Spitler (1999).
The design methods described previously size the ground loop for the larger of the heating or cooling loads, including a temperature penalty for the amount of imbalance (which can be large in severe climates). An alternative approach for imbalanced buildings is to partially balance the load on the ground, both at peak and annual scale, by adding a supplemental device to help meet the larger of the two peak loads. This is a hybrid geothermal (or hybrid ground-coupled) system. Hybrids can provide several benefits for buildings with a load imbalance. The biggest economic effect is in decreasing the ground heat exchanger size/cost. First-cost savings have been reported of 6 to 16% of total HVAC system cost, with little consequence reported on operating cost (Hackel and Pertzborn 2011; Singh and Foster 1998) because the HVAC systems operates for the vast majority of the year at a fraction of peak design. Table 7 shows that the more balanced loads resulting from hybrids also significantly affect long-term performance too.
In most U.S. commercial buildings, the cooling load is dominant both annually and at the peak because of high internal loads, ventilation heat recovery, and good building envelopes. Heat from compressors, pumps, and fans also plays a factor; in heating mode, this heat is delivered to the building, so less heat is required from the ground. As a result, achieving annual thermal balance requires heat pumps in a geothermal system to operate in heating mode 1.6 to 1.8 h for every hour in cooling.
The ideal configuration of the ground heat exchanger and supplemental cooling device in a hybrid depends on many factors, such as climate, building peak load, and building annual loads. Carefully analyze which approach may work best for a specific building. One common configuration for cooling-dominated systems, a series hybrid, is shown in Figure 20A. This approach could also be taken with a closed-circuit cooling tower (i.e., fluid cooler) downstream of the ground heat exchanger (GHX). In general, it is most effective to place the lower-temperature heat sink downstream; an energy model can help determine which order most often results in this scenario throughout the year. As a rule of thumb, in drier climates with warmer ground (e.g., desert southwestern United States) the tower is almost always the lower-temperature sink, whereas in humid climates with moderate-temperature ground (e.g. southeastern United States), the ground is often the lower-temperature sink. The hybrid can also be configured in parallel, as shown in Figure 20B, which is especially desirable if the ground heat exchanger is small in comparison to the building peak cooling load (a series system in this example would require a more complex partial GHX bypass). In either case, there are two guidelines for design and operation of hybrid systems:
A valve can be used to bypass the ground heat exchanger when the system is balanced; a dead band of 55 to 75°F can be used for this purpose. This valve can be three-way as shown, or two-way where appropriate.
Cooling towers are optimal when they are oversized, use a variable-speed fan, and minimize fan speed across cells.
Control of a cooling-dominated hybrid depends on the configuration. If equipment is placed as shown in Figure 20A, the temperature downstream of the tower can be used to control the use and speed of the tower based on a high limit (some additional savings are possible if the tower is controlled by the Δt between entering fluid and ambient wet-bulb temperatures, though this method depends on a difficult measurement of wet bulb). If the tower is located upstream of the ground heat exchanger, the temperature exiting the tower and the ground heat exchanger should both be used in tower control (to ensure the ground is not being cooled). For parallel configurations (Figure 20B), one practical tower control sequence bases tower operation on a calculation of the average of fluid temperature entering the heat pumps over the previous week (Xu 2007). Xu also suggests a strategy for controlling the parallel three-way valve.
A heating-dominated hybrid with a boiler instead of a cooling tower can use a series configuration, with the boiler downstream of the loop (because of the boiler’s high temperature output). The boiler is ideally controlled based on the temperature leaving the heat pumps.
Sizing hybrid components is a bit more complex than standard systems. For cooling dominated hybrids, Kavanaugh and Rafferty (1997) suggest that heat exchanger length for heating Lh be determined using Equation (5) with heating-mode loop temperatures twi and two as low as possible to minimize Lc. A tower with an isolation heat exchanger is sized to meet the capacity difference between the required cooling length Lc from Equation (4) and the heating length Lh. Kavanaugh (1998) revised this method to include an additional iteration to size the ground heat exchanger only after estimating the annual heat rejection from the tower: qtower(rated gpm) = gpmsystem (Lc – Lh)/Lc, where Lc is calculated from Equation (5) but based on reduced EFLHc to account for tower operation rejecting an estimated amount of the annual load. The strategy suggests eliminating long-term ground temperature change with additional tower operation.
A more detailed study (Hackel et al. 2009) included assumptions about typical installation and operating costs to demonstrate an optimized design strategy for cooling dominated hybrids. Based on life-cycle cost, this approach was roughly attractive whenever the peak heating load was less than 80% of the cooling load; savings increased logarithmically as the ratio decreased below 80%. A variety of cases were modeled, and the simplified best-fit regression for the hybrid ground heat exchanger length Lhyb in a cooling-dominated scenario was found to be proportional to heating load:
where C1 = 254 ft · h · °F/kBtu, at k =1.4 Btu/ft · h · °F. For other ground conductivities, the change in ground heat exchanger size is approximately inversely proportional to the change in conductivity. In choosing two, Hackel et al. also suggest in cooler climates it is often economical to include antifreeze in the system and allow the entering fluid temperature to drop to 35°F or lower. The supplemental cooling device (closed-circuit tower) should then be sized to meet the fraction of the cooling load that this smaller hybridized ground heat exchanger cannot. The study suggests that the tower should even be oversized slightly and its fan put on variable-speed control, to achieve optimal performance. Furthermore, tower sizing should be completed using the local peak wet-bulb and design entering fluid temperature for the hybrid.
This basic strategy of sizing hybrids was found to be valid for a wide range of economic scenarios. This economically justifies the general concept laid out in Kavanaugh (1998); however, results showed that it is generally not economically optimal to balance the load on the ground, and some increase in ground temperature can be accepted. Preliminary research showed that running the tower at night or in winter before there is significant cooling load (precooling the ground) to balance the ground load is not always necessary, and if done without care (i.e., in-depth energy analysis) could possibly lead to increased energy consumption.
Regardless of the calculation method used, detailed building load calculation is critical when sizing and configuring a hybrid, to determine the impacts of heating and cooling loads across time scales from peak to annual. Further refinement of hybrid sizing (and control) can be done through energy simulation software, including some of the design software mentioned earlier, as well as a tool created as a result of ASHRAE research project RP-1384 (Hackel et al. 2009). Building energy simulation can estimate loads at every hour of the year, establishing better understanding of annual ground loads as well as the load sharing between ground heat exchanger and supplemental device.
Heating-Dominated Hybrids. These hybrids are needed in only very cold climates. In heating-dominated buildings in such climates (i.e., with approximately twice as much annual heating load as cooling load), however, a heating-dominated hybrid could decrease the size of the ground heat exchanger. Optimally, the ground heat exchanger is sized to meet the cooling load and a supplemental device meets the remaining heating load through a supplemental heat coil on the ground-coupled fluid loop. Coil energy could be supplied by gas boiler, solar panels, electric resistance, or another source. Several things need to be considered if using this approach:
The potentially high temperatures of the heating coil are not covered by typical ground heat exchanger warranties.
Controls must be maintained correctly. Place boiler in series, downstream of ground heat exchanger, with control of boiler and ground heat exchanger coordinated so that heat is never rejected to the ground while the boiler operates (very little of such heat would be recovered).
The heat pumps operate whenever heating is needed, even though a high-temperature coil is also operating, reducing efficiency.
An alternative strategy for heating dominated buildings that poses some advantages is to simply remove some loads in the building from the ground-coupled loop and serve them by boilers, solar panels, or some other source which provides high enough temperatures to heat without added heat pump energy. Baseboard, unit heaters, and preheat coils can be good applications for this approach. This may alleviate some of the complications with boiler hybrids discussed previously.
Pump and Piping System Options
Loop design can have a substantial effect on both pumping power requirements and system installed cost. A GSHP survey (Caneta Research 1995) reported that installed pumping power varied from 0.04 to 0.21 hp/ton of heat pump power. This represents 4 to 21% of the total demand of typical GSHP systems and up to 50% of the total energy for some pump control schemes. Table 9 gives a recommended set of guidelines for minimizing the power of closed-loop GSHPs and maximizing system efficiency.
Good Table 9 grades can be obtained by minimizing extensive piping arrangements with long interior and exterior piping runs, high-head-loss fittings, valves, and control devices. Designers must compare the costs and advantages of large central piping loops and larger pumps with those of multiple smaller loops and smaller pumps. Pumping rates greater than 3.0 gpm/ton in closed-loop systems result in marginal equipment capacity gains in modern water-to-air heat pumps, and typically decrease overall system efficiency.
Kavanaugh et al. (2002) found the total cost of vertical GCHP ground-loop systems (including headers) ranged from $6.00 to $25.60 per foot of vertical bore. The cost of headers is a significant portion of the total and in many cases exceeded the cost of the vertical bore. The savings in vertical loop costs because of central systems’ load diversity often is not warranted because of the increased cost of large-diameter piping networks connecting equipment inside the building and below-grade circuits connecting exterior ground heat exchangers.
In low-rise buildings with large footprints, such as a school, multiple unitary loop systems (Figure 21) are an effective option to offset the high cost of central interior piping and ground-loop header costs. Although the total length of vertical bore for unitary systems is greater than for central loop systems, the high cost of interior piping, exterior headers, and valve vaults often offsets the bore cost savings. Additionally, pump demand is substantially reduced in the unitary system because of the short header runs, so low-wattage on/off circulator pumps are suggested.
A compromise in applications with significant load diversity is to group ground heat exchangers into multiple smaller subcentral loops in different areas of the building (Figure 22). Subcentral loops can be served by on/off circulator pumps located on each heat pump if a check valve is installed on each heat pump to prevent reverse water circulation through idle units.
Figure 23 is an example of a central loop that can effectively reduce the cost of the required vertical bore in buildings with higher load diversities. The central ground heat exchanger consists of several subheader sets, each having 6 to 20 vertical U-tube heat exchangers. The subheaders are gathered into a valve manifold located either near the center of the loop field in a below-grade vault or in the building equipment room. Each subheader set has isolation valves for independent purging of air and debris. Interior piping is similar to conventional water-source heat pump systems in which interior piping is routed to individual water-to-air heat pumps in each zone and/or heat pump water heaters and water-to-water heat pumps.
Variable-speed drives (VSDs) are recommended for central loop systems because they offer substantial energy savings compared to primary/secondary pump schemes in GSHP applications. However, in buildings with primary occupancy of less than 60 h per week, measures should be incorporated to turn off the main VSD pump and provide some alternative means of pumping water to critical building zones during low-occupancy or unoccupied periods.
Table 10 is a summary of Tables 9 and 10 from Chapter 32 of the 2007 ASHRAE Handbook—HVAC Applications, which compared a central GCHP loop and a set of eight subcentral loops for a 40,000 ft2, four-story office with a 100 ton cooling load. The total cost of the single central loop was higher ($2114 per ton, versus $1956 per ton). Although the vertical portion of the subcentral loop cost slightly more ($1343 per ton, versus $1327 per ton), the total system cost was projected to be lower because of the lower header cost.
Table 10 also compares a central loop with multiple unitary loops for a 57,000 ft2 elementary school. The projected 17% reduction in total cost ($2099 per ton versus $2530 per ton) of the unitary system is more significant compared to the reduction in the four-story office because of the building’s layout. The single-story, large-footprint design increases the cost of a central loop because of the long interior piping runs, even though the vertical portion of the central loop system is smaller. The unitary loop system benefits because the large footprint provides ample space for loops to be located near heat pump units.
GSHP Piping Materials. It is an industry standard that the buried ground-loop piping materials be fusion welded. For this reason, the current International Ground Source Heat Pump Association (IGSHPA) design and installation standards lists only high-density polyethylene (HDPE), and most recently an exception for cross-linked polyethylene (PEX-a) as approved materials for buried pipe. (IGSHPA 2011). In most cases, this pipe is buried without insulation.
Distribution systems in a building need to be carefully chosen and not solely driven by cost or ease of installation. As with any system, piping materials must be compatible with system design temperatures and with the fluids conveyed. Closed-loop systems typically use potable water and may also include an antifreeze solution and/or water treatment chemicals. With newer refrigerants, care is needed to ensure the piping materials are compatible with the oils used in the refrigeration system and that equipment seals are compatible with the heat transfer fluids conveyed; for instance, polyolester (POE) oil used with R-410A is not compatible with PVC pipe. Consult chemical resistance charts provided by materials manufacturers.
Whether designing a new system or retrofitting an existing one, it is the design engineer’s responsibility to size and select the proper piping materials for each application and to select only those materials allowed by code (ICC 2012). In large building systems, the aboveground piping specifications commonly include steel, iron, copper or PVC. Where the hydronic mains are 4 in. or larger, it is often more cost effective to specify steel pipe. Specifying steel pipe may require some type of water treatment to inhibit general corrosion and dielectric isolation when connected to geothermal heat pumps.
Water Quality, Heat Transfer Fluids, and Water Treatment. When engineers introduce dissimilar metals into closed-loop hydronic piping systems, improperly address water treatment requirements for their designs, or are not properly informed of the local groundwater regulations, water quality problems may result. Poor water quality contributes to a decline in mechanical system performance, increased maintenance, and can reduce the useful lifetime of mechanical system components.
The standard working fluid in small residential closed-loop piping systems is either potable water or, in colder regions, an antifreeze solution. Where required, the antifreeze solution is introduced after the ground loop is properly pressure tested, flushed, and purged of debris and air. There has been little problem with or concern about water quality in these GSHP systems, because piping materials have historically been HDPE, copper, or stainless steel hose kits for final connection at the heat pumps.
Quality of potable water can vary, depending upon the source, and rules on its use vary from state to state. The chemistry of this water is one of the contributors to corrosion and water quality problems in closed-loop piping systems, so engineers need to be precise with hydronic piping and water treatment system specifications. Chapter 49 offers some guidance on understanding the consequences of water quality on both open- and closed-loop hydronic systems.
The type of chemical used for water treatment in closed-loop systems is based on several criteria, including the materials being protected, the quality of the water in the piping system, local regulations, and cost. These systems are typically specified to include a rigorous process for cleaning the distribution piping, flushing the piping systems of air and debris, and then adjusting the water quality of the final local water to meet the long-term performance requirements of the building systems. Chemicals used to adjust water quality for these systems are often not acceptable for use when the circulating fluid is also connected to a ground loop. This is not a problem unless there is a pipe failure or problem with the ground loop, but a potential leak is a concern of the regulatory agencies that protect groundwater in each state.
Flush and Purge. To ensure that a geothermal heat pump system provides trouble-free operation, all ground-loop systems must be properly flushed and purged prior to connection to the building piping system (IGSHPA 2011). The current standard of care is defined by IGSHPA as providing a minimum velocity of 2 ft/s through each piping system, and flushing and purging each supply and return circuit in the forward and reverse directions for long enough to remove all debris and air from the system.
Recommendations for Good GSHP Piping System Design.
Before beginning design, consult the local regulatory agency for guidance on requirements related to the ground-loop portion. In many locations, this may be the Departments of Health or Environmental Services. Drilling for a vertical closed-loop system may not be allowed. Local groundwater conditions may limit the use of certain working fluids due to the sensitive nature of the resource and the concern for contamination.
Conform to applicable codes on adding nonpotable chemicals to building mechanical piping systems and for any discharge to public sewage systems. Good piping designs minimize the need for chemical treatment and any potential impact to the environment.
Note that corrosion occurs at some level in all hydronic systems. The best GSHP distribution system from a corrosion standpoint is one that includes only HDPE. Breaking down the system into the subcentral or individual loops may accommodate the use of only HDPE in large buildings.
Review pressure ratings of all piping materials specified for the system design temperatures.
Minimize the number of fittings, valves, and specialties where practical. Fittings, valves, specialties, and pumps perform best when stainless steel or bronze fitted.
Even in a closed-loop piping system, it is possible for air to be introduced by expansion and contraction of the pipe and occasional addition of make-up water. For suspended gases, air separators installed upstream of the pumps with an expansion tank can provide deaeration. For dissolved gases, particularly oxygen, the problem can only be addressed with chemical treatment.
It is very important that all ground-loop and building systems are properly flushed and purged of debris. Not only can debris clog equipment, but biological material contributes to a drop in water pH as it decays.
Take a water sample of the local potable water supply if it is planned to be the hydronic system’s working fluid. If dissimilar metals are used and/or the local water quality is poor, a water-treatment specialist can help select a water treatment regimen for the system. Alert the owner to the requirement for periodic monitoring of water quality.
If a chemical pot feeder is added into the system as a place to introduce the chemicals for the hydronic system, include an integral filter. The filter will help to maintain water quality and remove residual debris that may break lose after the system has been properly flushed and purged.
If propylene glycol is to be used as an antifreeze, note that concentrations less than 20% may promote bacterial growth. Check this percentage with the supplier (NGWA 2010).
Pressure Considerations In Deeper Vertical Boreholes. Vertical systems have be designed and installed to depths greater than 400 ft with mixed results. More field data are needed to extend this range without prominent warning. Pay special attention to the effect of both the internal and external fluid(s) differential pressure on the HDPE pipe, regardless of the specified U-bend type or insertion depth.
In most cases, the only design compensation for increased hydrostatic pressure on the U-bend assembly at these depths was to specify heavier-walled HDPE pipe [e.g., DR-9 (Dimension Ratio)]. Below 350 ft, in a borehole full of fluid, pipe collapse is more probable than burst due to the fact that thermal grout is denser than water. This results in an imbalance of the hydrostatic head in the annulus of the borehole versus the hydrostatic pressure exerted by the fluid inside of the pipe.
Internal working pressure (IWP) and external pressure resistance (EPR) of HDPE material decreases with time of exposure and elevated temperature. The 10 h IWP and EPR for HDPE 3406/3408 and 4710 at 73.4°F for DR-11 and DR-9 are shown in Table 11. The designer should check the manufacturer’s material specifications for all buried piping. Should the lower pipe DR (thicker wall) be selected, the EPR pressure increases at the expense of an increase in friction loss at any given flow. HDPE material selection, DR selection, grout selection, and the short term use of additional pressure (air or fluid) on the U-bend assembly may be remedies to deal with excessive differential pressure on the U-bend assembly.
Recent developments in clay-based thermally enhanced grout include the addition of graphite along with, or in place of, silica sand. Graphite-based-grout can have a thermal conductivity of up to 1.60 Btu/h · ft · °F. In addition, graphite-based grout has a significantly lower density and viscosity than clay/silica sand mixtures at a given thermal conductivity (Table 4). Graphite-based products are more expensive than clay/silica sand thermally enhanced product, but economics, geology, and site conditions may warrant the additional expense. Contact the grout manufacturer for additional information. In the long term, the annular fluid in a properly grouted borehole is designed to gel using a clay-based grout, or harden (set) using a cementatious grout, thus mitigating part of the differential pressure. In general, the maximum working time for most grouts is 30 to 45 min, depending on factors such as makeup water temperature and chemistry, borehole temperature, etc. After this amount of time, the grout begins to gel or set and become unpumpable. Note that grouting is not required in some jurisdictions and not addressed in others; this has given rise to substituting a manufactured fill material, which may be acceptable in some cases.
In deeper boreholes it is especially important for the designer to be aware of conditions that may lead to pipe failure and design accordingly. Equation (19) may be used to calculate differential pressure between the internal and external pressures on the HDPE U-bend assembly at any depth:
where
| Pd | = | pressure differential, psi |
| D1 | = | density of internal fluid, lb/gal (ppg) |
| D2 | = | density of the external fluid, ppg |
| Depth | = | net vertical feet |
| 0.052 | = | pressure gradient for a fluid with a density of 1 ppg 1 ft high. |
The following is a design example for a deeper borehole pipe design. A borehole is designed to be 500 ft deep. The thermal conductivity test indicates that the average deep earth temperature is 73°F. The selected U-bend assembly is HDPE 3408, DR-11. The clay-based thermal grout selected weighs 15.1 ppg at a thermal conductivity of 1.2 Btu/h · ft · °F. The manufacturer’s data sheet indicates that the grout will gel within 30 to 45 min of mixing and placement. The U-bend assembly is full of water (8.34 ppg). Using Equation (19), the differential pressure is 0.052 lbf/in2 × (15.1 ppg − 8.34 ppg) × 500 ft, or 175.8 psi on the exterior of the pipe at 500 ft. Note: The 10 h EPR for 3408 DR-11 at 73°F is 60 psi. Safety and best practice dictate that a design change may be warranted. The design would need to include direction to either stage pressure on the U-bend assembly to offset the hydrostatic head of the grout, or use a lower-density grout (see Table 4 for more information on grout options).
Effect of GSHP Equipment Selection on Heat Exchanger Design
The ground heat exchanger must absorb the heat of compression and heat from auxiliary equipment (e.g., fans, pumps) in cooling mode. In heating mode, heat from auxiliary equipment reduces the amount of heat required from the ground. Therefore, the cooling- and heating-mode power values Wc and Wh in Equations (4) and (5) must include the auxiliary input.
Rated values published in compliance with ANSI/ARI/ASHRAE/ISO Standard 13256-1 do not include the auxiliary power required to circulate air and water through the distribution systems. Furthermore, the auxiliary power required to distribute chilled air (and water) can have a substantial negative effect on the equipment’s cooling capacity.
Table 12 summarizes the air and water temperatures used to generate the rated performance of water-to-air heat pumps.
Table 13 summarizes the conditions for ANSI/ARI/ASHRAE/ISO Standard 13256-2, the rating standard for water-tower heat pumps.
Actual heat pump performance can be substantially different from rated conditions. Designers must convert rated performance to design conditions by accounting for the effect of auxiliary power input and for design ELTs and EWTs. When water-to-water heat pumps or chillers are used in this application, corrections should include power for the pump(s) of the source/sink loop and the chilled-/hot-water loop, and power for fans in the air distribution system. Table 14 demonstrates the difference between rated GSHP efficiency and actual system efficiencies for various options when the effect of auxiliary components is considered. Note that using a high-static-pressure air handler for air distribution significantly reduces cooling efficiency. In heating, 120°F hot water also lowers heating COP compared to direct condensation and hydronic systems (e.g., in-floor heating) that use lower-temperature water.
Horizontal and Small Vertical System Design
The buried pipe of a closed-loop GSHP may theoretically produce a change in temperature in the ground up to 16 ft away. For all practical purposes, however, the ground temperature is essentially unchanged beyond about 3 ft from the pipe loop. For that reason, the pipe can be buried relatively near the ground surface and still benefit from the moderating temperatures that the earth provides. Because the ground temperature may fluctuate as much as ±10°F at a depth of 6 ft, an antifreeze solution must be used in most heating-dominated regions. The critical design aspect of horizontal applications is to have enough buried pipe loop in the available land area to serve the equipment. The design guidelines for residential horizontal loop installations can be found in OSU (1988b).
A horizontal loop design has several advantages over a vertical loop design for a closed-loop ground source system:
Ground-loop installation is usually less expensive than for vertical well designs because the capital cost of a backhoe or trencher is only a fraction of the cost of most drilling rigs.
Most ground-source contractors must have a backhoe for construction of the header pits and trenches to the building, so they can perform the entire job without the need to schedule a special contractor.
Large drilling rigs may not be able to get to all locations because of their size and weight.
There is usually little potential for aquifer contamination because the trench is shallow.
There is minimal residual temperature effect from unbalanced annual loads on the ground heat exchanger because heat transfer to or from the ground heat exchanger is small compared to the normal heat transfer occurring at the ground surface.
Some limitations on selecting a horizontal loop design include the following:
The minimum land area needed for most nonspiral horizontal loop designs for an average house is about 0.5 acre. Horizontal systems are not feasible for most urban houses, which are commonly built on smaller lots.
The larger length of pipe buried relatively near the surface is more susceptible to being cut during excavations for other utilities.
Soil moisture content must be properly accounted for in computing the required ground heat exchanger length, especially in sandy soils or on hilltops that may dry out in summer.
Rocks and other obstructions near the surface may make excavation with a backhoe or trencher impractical.
Multiple pipes are often placed in a single trench to reduce the land area needed for horizontal loop applications. Some common multiple-pipe arrangements are shown in Figure 24. When pipes are placed at two depths, the bottom row is placed first, and then the trench is partially backfilled before the upper row is put in place. Rarely are more than two layers of pipe used in a single trench because of the extra time needed for the partial backfilling. Higher pipe densities in the trench provide diminishing returns because thermal interference between multiple pipes reduces the heat transfer effectiveness of each pipe. The most common multiple-pipe applications are the two-pipe arrangement used with chain trenchers and the four- or six-pipe arrangements placed in trenches made with a wide backhoe bucket.
An overlapping spiral configuration, shown in Figure 25, has also been used with some success. However, it requires special attention during backfilling to ensure that soil fills all the pockets formed by the overlapping pipe. Large quantities of water must be added to compact the soil around the overlapping pipes. The backfilling must be performed in stages to guarantee complete filling around the pipes and good soil contact. The high pipe density (up to 10 ft of pipe per linear foot of trench) may cause problems in prolonged extreme weather conditions, either from soil drying during cooling or from freezing during heating. This spiral design has been used in vertical trenches cut with a chain trencher as well as in laying the coil flat on the bottom of a large pit excavated with a bulldozer. Installations using the horizontal spiral coil on the bottom of a pit have generally performed better than those with spiral coils that were stood upright in a vertical trench.
The extra time needed to backfill and the extra pipe length required make spiral configurations nearly as expensive to install as straight pipe configurations. However, the reduced land area needed for the more compact design may allow use on smaller residential lots that are too small for conventional horizontal-pipe ground-loop designs. The spiral pipe configuration laid flat in a horizontal pit arrangement is used commonly in the northern Midwest of the United States, where sandy soil causes vertical trenches to collapse. A large open pit is excavated by a bulldozer, and then the overlapping pipes laid flat on the bottom of the pit. The bulldozer is also used to cover the pipe, being careful to not run over them with the bulldozer tread.
Although most horizontal closed-loop systems are installed with either a chain trencher or a backhoe, horizontal boring machines are also now available for this application. Developed for buried utility applications such as electric or potable water service, these devices simply bore through the ground parallel to the ground surface. A detector at the surface can show the exact point where the boring head is located underground so that the bore does not penetrate other known utilities or cross over into a neighbor’s lot.
Most horizontal loop installations place the pipe loops in a parallel rather than a single (series) loop to reduce pumping power (Figure 26). Parallel loops may require slightly more pipe, but may use smaller pipe and thus have smaller internal volumes, requiring less antifreeze (if needed). Also, smaller pipe is typically much less expensive for a given length, so total pipe cost should be less for parallel loops. An added benefit is that parallel loops can be flushed out with a smaller purge pump than is required for a larger single-pipe loop. A disadvantage of parallel loops is the potential for unequal flow in the loops and thus nonuniform heat exchange efficiency.
The time required to install a horizontal loop is not much different from that for a vertical system. For the arrangements described, a two-person crew can typically install the ground heat exchanger for an average house in a single day.
Soil characteristics are an important concern for any ground heat exchanger design. With horizontal loops, the soil type can be more easily determined because the excavated soil can be inspected and tested. EPRI (1990) lists criteria and simple test procedures that can be used to classify soil and rock for horizontal ground-loop design.
Although soil type and moisture content are important considerations in sizing the ground heat exchanger, some design guidelines have been developed based on extensive analysis of monitored systems in mostly southern climates (Kavanaugh and Calvert 1995). Table 15 gives recommended trench lengths for the various types of commonly used excavation methods. Heating-mode run times approaching 100% on a daily basis would be the norm at heating design conditions in heating-dominated climates. In contrast, daily run times of no more than 50% would be encountered at design cooling conditions in cooling-dominated climates. The combination of long run times and ice formation around the pipes makes performance of horizontal systems dependent on both the loop field design and how the system is matched to the building load. Though many thousands of these systems have been installed in heating climates, no comparable analysis has been performed to determine proper design guidelines. The loop length data in Table 15 for soil temperatures below 56°F are based on nominal heat pump capacity and use of supplemental resistance heat at design conditions. If installing such a system for the first time, contact several experienced contractors in the area to determine successful design lengths for the local climate and soil types.
Trench lengths in Table 15 are based on a minimum trench separation of 10 ft and minimum horizontal loop average burial depth of the greater of 5 ft or 2 ft below the frost line. Bore lengths are based on a vertical bore separation of 20 ft. Design ground heat exchanger temperatures are a maximum of 90°F return and 100°F entering in warm climates and a minimum of 28°F return and 22°F entering in cold climates.
Additional considerations for horizontal loop systems in colder climates arise from the potential for ice formation around the pipe loop. The loop should not pass within 2 ft of any buried water line (potable, sewer, or rainwater). If such proximity cannot be avoided, the GCHP loop can be insulated in that area. Horizontal loops should not be placed closer than 6 ft from a basement or crawl space wall when buried parallel to the wall. Heaving from ice formation could cause structural damage if placed in close proximity to the wall.
Leaks in heat-fused plastic pipe are rare when attention is paid to pipe cleanliness and proper fusion techniques. Should a leak occur, it is usually best to try to isolate the leaking parallel loop and abandon it in place. The effort required to find the source of the leak usually far outweighs the cost of replacing the defective loop. Because the loss of as little as 0.25 gal of water from the system causes the system to lose pressure and shut down, leaks cannot be located by looking for wet soil, as is commonly done with water lines.
Although leaks should be rare with properly thermally fused pipe, some states have adopted restrictions against the use of certain types of antifreeze mixtures in GCHP systems; check local water-quality regulations before selecting a mixture. Methanol has been used extensively because of its low cost and good physical properties when cold. Comprehensive studies by Heinonen and Tapscott (1996) and Heinonen et al. (1997) showed that propylene glycol is a good alternative when issues of flammability or environmental safety are important considerations. A more thorough discussion of antifreeze solutions is given in the Antifreeze Requirements section of this chapter.
Fluid Flow and Loop Circuiting. Residential systems, like commercial applications, sometimes have excessive pumping power. This trend may result from undersized piping, excessive amounts of viscous antifreeze solutions, or conservative pump sizing. Because a 3 ton heat pump with an energy efficiency ratio (EER) of 15 requires a total power (compressor and fan) of 2400 W, the addition of a second 1/6 hp pump (which draws 245 W) reduces system efficiency by 10%. Table 16 provides a guideline to ensure adequate liquid flow rate with the least possible number of pumps. It should be used in conjunction with Table 15 and applies to loops with 0 to 15% propylene glycol solutions (by volume; note that caution and additional treatment may be needed for solutions lower than 20%, because of risks of corrosion and biological growth below this level). This solution has the reputation of being the most difficult of the commonly used solutions to pump when cold. However, it is no more difficult to pump than ethyl alcohol, and pumping penalties can be mitigated by adding only the required amount of antifreeze. Shorter loops may require higher levels of antifreeze solutions. See the section on Antifreeze Requirements for more details. Any exposed piping above the frost line must be insulated with closed-cell insulation with ultraviolet (UV) protection (paint or wrap).
Example 4.
Design the vertical ground coupling grid and the pumping loop for a 4 ton (48,000 Btu/h) residential heat pump system. The home is located in Nashville, Tennessee, and the header pipes can be brought into the equipment room where the unit will be located. The driller can bore 4.5 in. holes to a depth of 175 ft in the light limestone and clay at the site. The owner wants the drilling site to be located 75 ft from the house. Thermally enhanced grout with thermal conductivity of 0.85 Btu/h · ft · °F is used to fill the annular region between the U-tubes and borehole walls.
Solution: The soil temperature is estimated to be 59°F in Nashville. Table 15 suggests bore lengths of 170 ft/ton for 3/4 in. U-bends, 160 ft/ton for 1 in., and 150 ft/ton for 1 1/4 in. (bores are deep, greater than 100 ft). However, 1 1/4 in. U-bends are very difficult to install in a 4.5 in. borehole, and are not considered. Therefore, either 680 ft (170 ft/ton × 4 tons) of 3/4 in. U-bend coupling or 640 ft (160 × 4 tons) of 1 in. coupling is required. The latter is used in this example. Also, Table 15 is based on a soil conductivity of 1.2 Btu/h · ft · °F, which is an approximate average between limestone and clay, and a bore fill (or grout) conductivity of 0.85 Btu/h · ft · °F. If the ground conductivity is higher (i.e., more limestone than clay), the loops should be reduced as noted in Table 15; if lower, the loops should be lengthened. Loop lengths also must be lengthened if the bore fill (or grout) conductivity is lower than 0.85 Btu/h · ft · °F, as noted in Table 15.
Layout is dictated by drilling conditions. The total length of 640 ft requires four bores, because the driller can only drill to 175 ft. This can be accomplished with four 160 to 165 ft holes. Table 16 suggests between three and five parallel circuits for the grid. Three and five circuits do not divide evenly into the four U-bends. Therefore, four circuits (one per U-bend) should be used in an arrangement similar to Figure 27.
Central plant GCHP systems use central water-to-water equipment (e.g., a water-cooled chiller) to move thermal energy between a source loop (the ground coupled heat exchanger), a chilled-water loop, and a hot-water loop. Here, the term central plant implies the mechanical equipment is in one centralized location; it does not imply a campus is served, and single buildings are a common application. The central plant source loop is commonly a vertical closed-loop heat exchanger, but any combination of GCHP types may be used. The chilled- and hot-water loops may serve any HVAC distribution equipment (fan coils or radiant systems are efficient options) as long as design hot-water supply temperatures do not exceed heat pump temperature ranges (typically 130°F). Best practice in these applications is largely theoretical or anecdotal; research is needed on the efficacy of the various central plant GCHP applications and designers considering central plant GCHPs must be cautious.
Compared to traditional unitary (water-to-air) GCHP systems, central plant systems offer the potential advantages of (1) incorporating direct heat recovery from hot-water loads to chilled-water loads, (2) sometimes allowing waterside economizing, (3) centralizing equipment maintenance, and (4) expanding retrofit opportunities. However, when such plants are connected to conventional distribution such as variable air volume (VAV), the loss of zone level heating and cooling results in large fan and reheat energy penalties. Pumping power is often higher than equivalent unitary heat pump systems. Central plants also have significantly more complex design, controls, commissioning, operational training, and maintenance. Most existing tools and methods for sizing ground heat exchangers and evaluating energy performance do not accurately represent central plant GCHP operation.
As with unitary systems, central plant systems may take many forms. Figure 28 illustrates the basic building blocks of a central plant GCHP system. Any number of heat recovery chillers and heating or cooling heat pumps may be installed. Either or both of the load-side loops may be connected to the source loop to achieve direct heat transfer (water economizing). The loops may be separated by control valves or heat exchangers (as shown in Figure 28), but loops should be linked only by control valves where fluid type and pressure are compatible.
Most central plant heat pump equipment is designed for use in one of three basic strategies:
Parallel water-to-water heat pumps: dedicated heat pumps provide hot and/or chilled water in parallel. This type is often used in conjunction with unitary heat pumps or in simple applications where there is little opportunity for heat recovery or water economizing.
Packaged modular heat pumps: multiple units are connected by control valves to any of the loops (source, hot water, or chilled water) such that each individual heat pump may serve for heating, cooling, or heat recovery.
Heat pump chiller: one or more large heat recovery chillers, designed to operate with a large lift, operate to maintain both hot and chilled water at required temperatures. No dedicated cooling heat pump or heating heat pump is provided. The heat exchangers (or direct valve connections between loops) provide the means to achieve heat rejection or heat absorption with the ground heat exchanger.
To provide stable temperature control and part load operation, central plant GCHP systems can benefit from additional thermal capacitance (buffer tanks) on the load side loops. Any loop flow control methodology may be used; however, variable flow should be used to minimize pumping energy penalties where equipment allows. Consider using water as the working fluid wherever possible, because of the energy and capital cost associated with antifreeze solutions.
Central plant designers have the option to connect hybrid heating and cooling equipment to the load side of the heat pumps instead of the source/ground side, which adds redundancy and reduces pump and compressor energy at the expense of increased controls complexity. Hybrid air-cooled chillers may serve the chilled-water loop directly, whereas evaporative cooling equipment is best placed on the source loop in series or in parallel with the ground heat exchanger. Connecting a hybrid boiler to the hot-water loop reduces thermal stress for boilers designed to operate at higher temperatures and provides direct emergency heat; connecting a hybrid boiler to the source loop reduces control interconnection/complexity and reduces heat pump faults caused by low entering water temperatures.
This section includes information on water wells that is generally common to both direct-use and groundwater heat pump (GWHP) systems.
An aquifer is a geologic unit that is capable of yielding groundwater to a well in sufficient quantities to be of practical use (UOP 1975). Aquifers can exist in areas where water is present in conjunction with pore spaces in the subsurface materials sufficient to allow the water to move laterally.
In many projects, construction of the well (or wells) is handled through a separate contract between the owner and the driller or a hydrology/hydrogeology consultant. As a result, the engineer is not responsible for its design. However, because design of the building system depends on performance of the wells, it is critical that the engineer be familiar with water well terminology and test data. The most important consideration with regard to the wells is that they be completed and tested (for flow volume and water quality) before final system design, in much the same way that ground thermal properties testing precedes GCHP system design.
Figure 30 illustrates some of the more important well terms. Several references (Anderson 1984; Campbell and Lehr 1973; EPA 1975; Roscoe Moss Company 1985) cover well drilling and well construction in detail.
Static water level (SWL) is the level that exists under static (nonpumping) conditions. In some cases, this level is much closer to the surface than that at which the driller encounters water during drilling. Pumping water level (PWL) is the level that exists under specific pumping conditions. Generally, this level is different for different pumping rates (higher pumping rates mean lower pumping levels). The difference between the SWL and the PWL is the drawdown. The specific capacity of a well is frequently quoted in gpm per foot of drawdown. For example, for a well with a static level of 50 ft that produces 150 gpm at a pumping level of 95 ft, drawdown = 95 − 50 = 45 ft; specific capacity = 150/45 = 3.33 gpm per foot.
Water entrance velocity (through the screen or perforated casing) can be an important design consideration. Velocity should be limited to a maximum of 0.1 fps (0.05 ft/s for injection wells) to avoid incrustation of the entrance openings. The pump bowl assembly (impeller housings and impellers) is always placed sufficiently below the expected pumping level to prevent cavitation at the peak production rate. For the previous example, this pump should be placed at least 115 ft below the casing top (pump setting depth = 115 ft) to allow for adequate submergence at peak flow. Along with any expected annual aquifer water level fluctuations, the specific NPSH pressure required for a pump varies with each application and should be carefully considered in selecting the setting depth along with any expected annual aquifer water level fluctuations.
For the well pump, total pump head is composed of four primary components: lift, column friction, surface requirements, and injection head (pressure). Lift is the vertical distance that water must be pumped to reach the surface. In the example, lift is 95 ft. The additional 20 ft of submergence imposes no static pump head (pressure).
Column friction, the friction loss in the pump column between the bowl assembly and the surface, is calculated from pump manufacturer data in a similar manner to other pipe friction calculations (see Chapter 22 of the 2017 ASHRAE Handbook—Fundamentals). Surface pressure requirements account for friction losses through piping, heat exchangers, and controls, and in many applications are between 25 and 35 ft. Injection pressure requirements are a function of well design, aquifer conditions, and water quality. In theory, an injection well penetrating the same aquifer as the production well experiences a water level rise (assuming equal flows) that mirrors the drawdown in the production well. Using the earlier example, an injection well with a 50 ft static level would experience a water level rise of 45 ft, resulting in a surface injection pressure of 45 – 50 = −5 ft (i.e., a water level that remains 5 ft below the ground surface). Thus, no additional pump head is required for injection in the example.
In practice, injection pressure requirements usually exceed the theoretical value. With good (nonscaling) water quality, careful drilling, and little sand production, injection pressure should be near the theoretical value. For poor water quality, high sand production, or poor well construction, injection pressure may be 10 to 40% higher.
The well casing diameter depends on the diameter of the pump (bowl assembly) necessary to produce the required flow rate. Table 18 presents nominal casing sizes for a range of water flow rates.
In addition to the production well, most systems should include an injection well to dispose of the fluid after it has passed through the system. Injection stabilizes the aquifer from which the fluid is withdrawn by reducing or eliminating long-term drawdowns, and helps to ensure long-term productivity. Construction of injection wells differs from production wells primarily in the recommended screen velocity (0.05 ft/s, or 1/2 that of production wells) and well sealing design. Injection wells, particularly those likely to be subject to positive injection pressure, should be fully cased and sealed from the top of the injection zone to the surface.
It is commonly thought that wells, particularly injection wells, often fail, but failure is more often attributable to the designer than to the well itself. The most common factors in reduced water well (production and injection) performance are encrustation and biofouling of screens, formation plugging with fines, sand pumping, casing/screen collapse, and pump problems (Driscoll 1986). To a large extent, encrustation and biofouling can be reduced by minimizing drawdown through careful well design and the avoidance of excessive groundwater flows. Material selection appropriate for the water chemistry and avoidance of substandard casing and screen products can reduce or eliminate failures in these components. Sand production should be limited by screen, gravel pack, and development practices, or removed by strainers before injection. With such good practices, maintenance intervals can be reduced to approximately 10 to 15 years in favorable conditions, and 5 to 8 years in unfavorable settings. One key to successful water well operations is effective monitoring: regular testing of well yield, drawdown, specific capacity, and sand production, coupled with periodic review of trends in these parameters.
When possible, well testing should be completed before mechanical design. Only with actual flow test data and water chemical analysis information can accurate design proceed.
Flow testing can be divided into three different types of tests: rig, short-term, and long-term (Stiger et al. 1989). Rig tests are generally very short and are accomplished while the drilling rig is on site. The primary purpose of this test is to purge the well of remaining drilling fluids and cuttings and to get a preliminary indication of yield. The length of the test is generally governed by the time required for the water to run clean. The rate is determined by the available pumping equipment. Frequently, the well is “blown” or pumped with the drilling rig’s air compressor. As a result, limited information about the well’s production characteristics is available from a rig test. If the well is air lifted, it may not be useful to collect water samples for chemical analysis because certain chemical constituents may be oxidized by the compressed air.
Properly conducted, short-term, single-well tests lasting 4 to 24 h yield information about well flow rate, temperature, drawdown, and recovery. These tests are used most frequently for direct-use and GWHP applications. The test is generally run with a temporary electric submersible pump or lineshaft turbine pump driven by an internal combustion engine and are often performed by a well pump contractor.
A step test (Table 19), the most common type, involves at least three production rates, the largest being equal to the design flow rate for the system served. The three points are the minimum required to determine a productivity curve for the well that relates production to drawdown (Stiger et al. 1989). The key parameters monitored during these tests are well water level and water flow. Water level and pumping rate should be stabilized at each point before flow is increased. In many cases, water level is monitored with a bubbler or an electric sounder, and flow is measured using an orifice meter. More sophisticated instrumentation (e.g., pressure transducers for water level, magnetic flow meters, data loggers) can also be used. Short-term testing is generally used for small projects and provides information on yield, drawdown, and specific capacity.
Test results should reflect stable flows rates and individual flow “steps” are extended until water level readings stabilize. In many cases brief intervals of turbidity may occur at flow changes but extensive periods of turbidity indicate instability in the near well formation.
Long-term tests of up to 30 days provide information on the reservoir. Normally these tests involve monitoring nearby wells to evaluate interference effects. The data are useful in calculating transmissivity and storage coefficient, reservoir boundaries, and recharge areas (Stiger et al. 1989) but are rarely used for direct-use and GWHP systems.
It is also important to collect background information before the test, and water level recovery data after pumping has ceased. Recovery data in particular can be used to evaluate skin effect, which is a type of well flow resistance caused by residual drilling fluids, insufficient screen or slotted liner area, or improper filter pack.
The importance of groundwater quality depends on the system design. Systems using isolation heat exchangers commonly encounter no water quality issues (other than iron bacteria) that would prevent a GWHP system from operating under reasonable maintenance levels.
For systems that use groundwater directly in heat pump units (e.g., standing-column systems and small residential GWHP systems), several issues are of concern. The primary water quality problem in the United States is scaling, usually of calcium carbonate (lime). Because this type of scaling is partially temperature driven, the temperature of surfaces that groundwater contacts determines the extent to which scaling will occur. In these systems, peak temperatures in the refrigerant-to-water exchanger in cooling mode are likely to be over 160°F. For the same system using an isolation plate heat exchanger, the groundwater is unlikely to encounter temperatures over 90°F. Using the plate heat exchanger reduces the propensity for scaling and limits any scale that does occur to a single heat exchanger. Rafferty (2000b) provides information on water scaling potential on a state-by-state basis.
Although cupronickel, originally developed for seawater applications, is an excellent material in that role, it provides few benefits for most groundwater applications. It has been shown to perform more poorly than pure copper with hydrogen-sulfide-bearing waters.
Excessive iron, particularly ferrous iron, in the water can result in coating of heat transfer surfaces if the water is exposed to air (allowing the iron to oxidize to the ferric state, a form with much lower solubility in water). Periodically removing this iron from the plates of a single heat exchanger is much less labor-intensive than removing it from tens or hundreds of individual heat pump heat exchangers. Table 20 summarizes the minimum parameters that should be evaluated for a GWHP application.
Particulate matter (e.g., sand) in the groundwater stream, although usually not a problem in the mechanical system, can effectively plug injection wells. Sand production should be addressed in construction of the production well (screen/gravel pack/development). If it must be dealt with on the surface, a screen or strainer is preferable to a centrifugal separator, which can be ineffective at start-up and shutdown and can experience variable flow (Kavanaugh and Rafferty 1997). Perforation size selection is critical to a strainer’s effectiveness. Sizing should be based on 90 to 100% removal of the particulate material. Particle size information can be based on the sieve analysis results of drill cuttings (used to size the well screen) or of a sample taken during well flow testing. In applications with very fine sand, multiple strainers in parallel may be necessary to control pressure drop (Rafferty 2008).
Submersible pumps have not performed well in higher-temperature, direct-use projects. However, the submersible pump is a cost-effective option with normal groundwater temperatures, as encountered in heat pump applications. The low temperature eliminates the need to specify an industrial design for the motor/protector, thereby greatly reducing the first cost relative to direct use. Caution should still be used for wells that are expected to produce moderate amounts of sand. The high speed (nominal 3600 rpm) of most submersible pumps makes them susceptible to erosion damage.
Small groundwater systems have frequently been identified with excessive well pump energy consumption. The reasons for excessive pump energy consumption (high water flow rate, coupling to the domestic pressure tank, and low efficiency of small submersible pumps) are generally not present in large, commercial groundwater systems. In large systems, the groundwater flow per unit capacity is frequently less than half that of residential systems. Pressure at the wellhead is not the 30 to 50 psi typical of domestic systems, but is rather a function only of pressure losses through the groundwater loop. Finally, large well pumps have efficiencies of up to 83% compared to the 35 to 40% range for small submersible pumps.
In GWHP system design, the control method for the well pump determines the extent to which the optimum relationship between well pump power and heat pump power is preserved at off-peak conditions. There are several ways the pump can be controlled. Multiple pumps can be staged to meet system loads, either with multiple wells or with multiple pumps installed in a single well. A dual set-point control similar to that used in boiler/tower systems energizes the well pump above a given temperature in cooling mode and below a given temperature in heating mode. Between those temperatures, the building loop floats without the addition of groundwater. To control well pump cycling, it is necessary to establish a temperature range (difference between pump-on and pump-off temperatures) over which the pump operates in both the heating and cooling modes. The size of this range is primarily a function of the building loop water volume in terms of gallons per peak per ton of peak block system load (Rafferty 2000c). Table 21 summarizes these data. In the example in Table 17, the optimum system building loop return temperature (at peak system EER) is 80.6°F. If this system had a water volume of 8 gal/ton, from Table 21, a range of 8°F in cooling mode would be required. This range would result in a well pump start temperature of 80.6 + (8/2) = 84.6°F and a well pump stop temperature of 80.6 − (8/2) = 76.6°F. A similar calculation can be made for heating mode. From Table 21, for systems with very low thermal mass, the dual set-point method of control becomes impractical because of the very large temperature range required. For these applications, an alternative method of control (variable speed, staging, etc.) is required.
Well pumps may also be controlled using a variable-speed drive, which responds to building loop return temperature by varying groundwater flow to the exchanger to maintain the cooling or heating mode set point. Submersible-motor variable-speed applications are somewhat different than surface motor applications. Most manufacturers limit speed reduction to 50%, and other issues such as minimum water velocity for motor cooling, switching frequency, reactor requirement, and motor protection must be addressed. Additional information on VFD applications for submersible motors is available in Rafferty (2008).
Design of a plate-and-frame heat exchanger is largely a trade-off between pressure drop, which influences pumping (operating cost), and overall heat transfer coefficient, which influences surface area (capital cost). In general, exchangers in GWHP systems can be economically selected for approach temperatures (between loop return and groundwater leaving temperatures) as low as 3°F. Most selections involve an approach of between 3 and 7°F and a pressure drop of less than 10 psi on the building loop side. Excessive fouling factors (>0.0002 h · ft2 · °F/Btu) should not be specified when selecting plate heat exchangers, which can be easily disassembled and cleaned.
Heat exchanger cost may be reduced for groundwater applications by using Type 304 stainless steel plates rather than the Type 316 or titanium plates common in direct-use projects. The low temperature and generally low chloride content of heat pump fluids frequently make the less expensive Type 304 material acceptable. Chloride content of the groundwater, particularly in coastal areas, should always be compared to values in Figure 4 to determine plate material acceptability. Exchanger performance should be checked at minimum system flow rates to ensure adequate heat transfer. In some cases, very low design pressure drop selections can encounter inadequate heat transfer at minimum flows.
Residential Groundwater Heat Pump Systems
Residential groundwater heat pump systems have the same design considerations as commercial groundwater heat pump systems, but differ on three main items: typically they (1) are integrated with a household domestic water system, (2) are single-zone systems, and (3) do not isolate the groundwater from the heat pump unit(s).
Groundwater heat pumps are a prudent choice in residential buildings on well water if the groundwater is of good quality. As such, the heat pump can be integrated into the domestic water system and considered another water-using appliance. Design care must be taken to ensure that the well and pressure tank have adequate capacity to handle the additional flow demand of the heat pump. Well pumps may be of the submersible or jet type, and the design groundwater flow rate should be chosen based on its temperature such that the system COP or EER is maximized. Flow control valves are recommended in the discharge line to ensure that the well is not over-pumped. Placement of a slow-closing motorized valve also on the discharge line ensures positive pressure on the heat pump water coil, and stops the flow of water when the heat pump is not operating (Figure 31).
The pressure tank provides water at pressure on demand without short-cycling the well pump. A prepressurized bladder tank is preferred, and it should be large enough that filling it with the well pump takes at least 1 min.
Residential groundwater heat pump systems are small enough that the additional cost of an isolation heat exchanger is typically not economically justified. Raw groundwater is generally used as the heat transfer fluid, but provisions must be made (such as hose bibs or boiler drains) to allow for flushing and descaling of the heat pump water/refrigerant coil if necessary.
After exiting the heat pump, groundwater should be returned to a point of discharge in accordance with best practices and/or local codes. Surface discharge to a pond or wetland, or infiltration in to a dry well may be more of an option in these smaller systems than with larger commercial systems due to the correspondingly lower flow rates.
Central plant systems, in which a conventional or heat recovery central chiller is connected to a four-pipe system, are the oldest type of open-loop design, having first been installed in the late 1940s. Because of the cost and energy requirements of the central plant design, these systems typically do not result in the same level of energy efficiency as unitary GWHP systems.
For central plant groundwater systems, two heat exchangers are normally used: one in the chilled-water loop and one in the condenser water loop (Figure 32). The evaporator-loop exchanger provides a heat source for heating-dominated operation and the condenser-loop exchanger provides a heat sink for cooling-dominated operation.
Sizing the condenser-loop exchanger is based on providing sufficient capacity to reject the condenser load in the absence of any building heating requirement.
Sizing the chilled-water-loop exchanger must consider two loads. The primary criterion is the load required during heating-dominant operation. The exchanger must transfer sufficient heat (when combined with compressor heat) from the groundwater to the chilled-water loop to meet the building’s space heating requirement. Depending on the relative groundwater and chilled-water temperatures and on the design temperature rise, exchangers may also provide some free cooling during cooling-dominant operation. If groundwater temperature is lower than that of chilled water returning to the exchanger, some chilled-water load can be met by the exchanger. This mode is most likely available in regions with groundwater temperatures below 60°F.
Central plant chiller controls must also allow for the unique operation with a groundwater source. Controls can be similar to those on a heat-recovery chiller with a tower, with one important difference. In a conventional heat-recovery chiller, waste heat is available only when there is a building chilled-water (or conditioning) load. In a groundwater system, a heat source (the groundwater) is available year round. To take advantage of this source during the heating season, the chiller must be loaded in response to the heating load instead of the chilled-water load. That is, the control must include a heating-dominant mode and a cooling-dominant mode. Two general designs are available for this:
Chiller capacity remains controlled by chilled-water (supply or return) temperature, and groundwater flow through the chilled-water exchanger is varied in response to the heating load
Chiller capacity is controlled by the heating-water (condenser) loop temperature, and groundwater flow through the chilled-water exchanger is controlled by chilled-water temperature
For buildings with a significant heating load, the former may be more attractive, whereas the latter may be appropriate for conventional buildings in moderate to warm climates.
In practice, standing-column wells (SCWs) are a trade-off between groundwater systems and ground-coupled systems. They do not require well flow testing of the sort necessary for groundwater systems, and conductive heat transfer can be based on existing closed-loop theory. Though standing-column systems have been applied mostly in the northeastern United States, approximately 60% of the country is underlain by near-surface (<150 ft) bedrock suitable for the systems.
A heating capacity of 350,000 to 420,000 Btu/h or cooling capacity of 30 to 35 tons can be expected from a 1500 ft deep standing-column well. Ideal spacing between SCWs is 50 to 75 ft (Orio et al. 2005) Typically, spacing between standing-column wells is greater than vertical closed-loop (GCHP) boreholes. These estimated capacities assume a 10% advective bleed flow, discussed later in this section. Closer spacing affects well field performance and can be evaluated with design software. Additional information on standing-column systems can be found in Spitler (2002).
The standing-column well combines supply and injection wells into one, and does not depend on the presence or flow of groundwater, beyond that of the typical bleed rate of 10 to 20% of total pumped flow. Standing-column wells are always augmented with a bleed circuit, to monitor the entering water temperature. Well water temperatures that are below or above design limits because of variations in rock conductivity, building anomalies, or nonstandard weather patterns can be restabilized (i.e., brought back to far-field temperatures by overflowing smaller amounts of water on command). This advective flow is a powerful short-term method of warming and cooling well columns that are beyond design limits.
Standing-column wells (Figure 33) consist of a borehole cased in steel or other material until competent bedrock is reached. The casing must be driven 25 to 50 ft into and sealed in competent bedrock. Bedrock sealing requirements vary by state. The remaining depth of the well is then self-supporting through bedrock. For deep commercial SCWs, a tail pipe (porter shroud) is inserted to form a conduit to draw up water, and an annulus to return water downward. This tail pipe is perforated at the bottom to form a diffuser. Water is drawn into the diffuser and up the central riser pipe to the submersible pump. The well pump must be located below the water table in line with the central riser pipe. The tail pipe allows a shorter, reduced-power wire size as well as more accessible well pump service.
The U.S. Environmental Protection Agency (EPA) Underground Injection Control program considers standing-column reinjection well water a Class V water use, type 5A7, noncontact cooling water for geothermal heating and cooling. The EPA and equivalent state agencies regard SCW reinjection as a beneficial use. Permitting or notice may be required, depending on average daily water flow rates. SCWs are serviced by qualified well contractors with minimal familiarization training.
3.5 SURFACE WATER HEAT PUMPS
Surface water bodies can be very good heat sources and sinks if properly used. In some cases, lakes can be the very best water supply for cooling. Various water circulation designs are possible; several of the more common are presented here.
In a closed-loop system, one or more water-to-water or water-to-air heat pumps are linked to one or more submerged coils or flat plate heat exchangers, referred to as surface water heat exchangers (SWHEs). Heat is exchanged to (cooling mode) or from (heating mode) the lake by the fluid (usually a water/antifreeze mixture) circulating inside the SWHE. The heat pump transfers heat to or from the air in the building.
In an open-loop system, water is pumped from the lake through a heat exchanger and returned to the lake some distance from the point at which it was removed.
Thermal stratification of water often keeps large quantities of cold water undisturbed near the bottom of deep lakes. This water is cold enough to adequately cool buildings by simply being circulated through heat exchangers. A heat pump is not needed for cooling, and energy use is substantially reduced. Closed-loop coils may also be used in colder lakes. Heating can be provided by a separate source or with heat pumps in heating mode. As noted previously, precooling or supplemental total cooling are also allowed when water returning to the building is near or below 55°F.
Heat is transferred to lakes by three primary modes: radiant energy from the sun, convective heat transfer from the surrounding air (when the air is warmer than the water), and conduction from the ground. Solar radiation, which can exceed 300 Btu/h per square foot of lake area, is the dominant heating mechanism, but it occurs primarily in the upper portion of the lake unless the lake is very clear. About 40% of solar radiation is absorbed at the surface (Pezent and Kavanaugh 1990). Approximately 93% of the remaining energy is absorbed at depths visible to the human eye.
Convection transfers heat to the lake when the lake surface is cooler than the air. Wind speed increases the rate at which heat is transferred to the lake, but maximum heat gain by convection is usually only 10 to 20% of maximum solar heat gain. Conduction gain from the ground is even less than convection gain (Pezent and Kavanaugh 1990).
Lakes are cooled primarily by evaporative heat transfer at the surface. Convective cooling or heating in warmer months contributes only a small percentage of the total because of the relatively small temperature difference between the air and lake surface. At night when the sky is clear, longwave radiation can account for significant amount of cooling. The relatively warm water surface radiates heat to the cooler sky. For example, on a clear night, a cooling rate of up to 50 Btu/h · ft2 is possible from a lake 25°F warmer than the sky. The last mode of heat transfer, conduction to the ground, does not play a major role in lake cooling (Pezent and Kavanaugh 1990), though it does provide significant heating under winter conditions (Gu and Stefan 1990) when the surface of the lake is frozen.
To put these heat transfer rates in perspective, consider a 1 acre (43,560 ft2) lake used in connection with a 10 ton (120,000 Btu/h) heat pump. In cooling mode, the unit rejects approximately 150,000 Btu/h to the lake. This is 3.4 Btu/h · ft2, or approximately 1% of the maximum heat gain from solar radiation in the summer. In winter, a 10 ton heat pump absorbs only about 90,000 Btu/h, or 2.1 Btu/h · ft2, from the lake.
Thermal Patterns in Lakes
The maximum density of water occurs at 39.2°F, not at the freezing point of 32°F. This phenomenon, in combination with the normal modes of heat transfer to and from lakes, produces temperature profiles advantageous to efficient heat pump operation. In the winter, the coldest water is at the surface. It tends to remain at the surface and freeze. The bottom of a deep lake stays 5 to 10°F warmer than the surface. This condition is referred to as winter stagnation. The warmer water is a better heat source than the colder water at the surface.
As spring approaches, the surface water warms until the temperature approaches the maximum density point of 39.2°F. The winter stratification becomes unstable, and circulation loops begin to develop from top to bottom. This condition of spring overturn (Peirce 1964) causes the lake temperature to become fairly uniform.
Later in the spring, as water temperatures rise above 45°F, the circulation loops are in the upper portion of the lake. This pattern continues throughout the summer. The upper portion of the lake remains relatively warm, with evaporation cooling the lake and solar radiation warming it. The lower portion (hypolimnion) of the lake remains cold because most radiation is absorbed in the upper zone. Circulation loops do not penetrate to the lower zone, and conduction to the ground is quite small. The result is that, in deeper lakes with small or medium inflows, the upper zone is 70 to 90°F, the lower zone is 40 to 55°F, and the intermediate zone (thermocline) has a sharp change in temperature in a small change in depth. This condition is referred to as summer stagnation.
As fall begins, the water surface begins to cool by radiation and evaporation. With the approach of winter, the upper portion begins to cool toward the freezing point and the lower levels approach the maximum density temperature of 39.2°F. An ideal temperature-versus-depth chart is shown in Figure 34 for each of the four seasons (Peirce 1964).
Many lakes do exhibit near-ideal temperature profiles. However, (1) high inflow/outflow rates, (2) insufficient depth for stratification, (3) level fluctuation, (4) wind, and (5) lack of enough cold weather to establish sufficient amounts of cold water necessary for summer stratification can disrupt the profile. Therefore, a thermal survey of the lake should be conducted or existing surveys of similar lakes in similar geographic locations should be consulted (Hattemer and Kavanaugh 2005). When interpreting survey data, be aware that there are annual variations in temperature profiles that will not be reflected in measurements for a single year. Shallow ponds and lakes often destratify completely. This does not preclude their use for SWHP systems, but does reduce performance in cooling mode and may require larger heat exchangers compared to lakes that remain stratified.
The thermal and environmental effects of heat rejection and absorption on larger lakes and streams have been studied (Hattemer et al. 2006; Spitler 2014). However, the effect of SWHPs on thermal stratification profiles is not well characterized, and there is a lack of experimental data. The relative importance of heat transfer modes is not well known, especially during heating mode. There are no publicly available design tools that consider the many heat and mass flow modes of lakes, streams, and oceans. The model of unstratified ponds developed by Chiasson et al. (2000b) has been implemented in publicly available energy calculation programs, but its lack of accounting for stratification, freezing on the coil, or freezing at the surface limits its usefulness for analysis of deeper lakes and operation in heating mode. The model developed by Spitler et al. (2012) accounts for stratification and for freezing both on the coil and at the surface, but makes several approximations such as neglecting inflows, outflows, and water level variations. Furthermore, validation of all such models is necessarily limited to a small number of lakes for which experimental data are available. Therefore, some caution in using such tools is warranted.
Closed-Loop Lake Water Heat Pump Systems
The closed-loop SWHEs shown in Figure 35 have several advantages over the open loop:
Fouling is reduced because clean water (or water/antifreeze solution) circulates through the heat pump
Pumping-power requirement is lower because there is no elevation head from the lake surface to the heat pumps
It is the only type recommended with unitary heat pumps if a lake temperature below 40°F is possible: fluid outlet temperature is about 6°F below that of the inlet at a flow of 3 gpm per ton, and icing occurs on heat exchanger surfaces when the lake water temperature is in the 34 to 38°F range
Disadvantages of closed-loop systems include the following:
Heat pump performance decreases slightly because circulation fluid temperature drops 4 to 12°F below lake temperature
Coils may be damaged in public lakes; thermally fused polyethylene loops are much more resistant to damage than copper, glued plastic (PVC), or tubing with band-clamped joints
Fouling can occur on the outside of the lake coil, particularly in murky lakes or where coils are located on or near the lake bottom.
High-density polyethylene (HDPE 3408) is recommended for in-lake piping. All connections must be either thermally socket-fused or butt-fused. These plastic pipes should also have protection from UV radiation, especially when near the surface. Polyvinyl chloride (PVC) pipe and plastic pipe with band-clamped joints are not recommended.
Plate heat exchangers are also available, and manufacturers typically provide estimated capacities for specified conditions. However, use care in applying metal heat exchangers in cold climates. For an equal temperature difference between the reservoir and fluid inside the coil, the surface temperature of metal heat exchangers is closer to the freezing point of water. The higher thermal resistance of HDPE results in a larger required surface area and a much lower heat transfer per unit of surface area. Thus, the surface temperature of an adequately designed HDPE coil tends to be higher than that of a metal tube or plate and less likely to develop ice on the coil exterior. In certain circumstances, ice build-up may occur on the closed-loop SWHE nonetheless. Use proper methods for anchoring the SWHE to resist the upward buoyant force caused by ice build-up.
The piping networks of closed-loop systems resemble those used in ground-coupled heat pump systems. Both a large-diameter header between the heat pump and lake coil and several parallel loops of piping in the lake are required. Loops are spread out to limit thermal interference, hot spots, and cold pockets. Although this layout is preferred in terms of performance, installation is more time consuming. Many contractors simply unbind plastic pipe coils and submerge them in a loose bundle. Some compensation for thermal interference is obtained by making bundled coils longer than the spread coils. A diagram of this type of installation is shown in Figure 35A.
Copper coils have also been used successfully. Copper tubes have a very high thermal conductivity, so coils only one-fourth to one-third the length of plastic coils are required. However, copper pipe does not have the durability of HDPE 3408, and if fouling is possible, coils must be significantly longer.
Open-Loop Lake Water Heat Pump and Direct Surface Cooling Systems
Open-loop surface water heat pump systems use heat pumps or chillers to provide heating and/or cooling, with surface water circulating through a heat exchanger to provide the heat source and/or sink. The heat pumps may be unitary or custom built.
Direct surface water cooling (DSWC) systems use cold lake or sea water to provide cooling without heat pumps. Because the total (horizontal + vertical) distance between the building(s) being cooled and the actual location of the cold water is often significant, the scale of the system that is economically feasible tends to be quite large.
In cases where the lake or sea water may not be cool enough to meet all demands, hybrid systems that can provide cooling with or without heat pumps or chillers have also been used. Published descriptions of all three types of systems have been reviewed by Mitchell and Spitler (2013).
As noted previously, open-loop systems with unitary heat pumps are not suitable for lake temperatures below 40°F because of the risk of freezing in the evaporator. However, larger installations that use custom-designed heat pumps are successfully operated in Scandinavia under even colder conditions. Their capacities can be as large as 100 million Btu/h. One such system takes water from the Baltic Sea at 37°F and returns it at 33°F using falling film evaporators (i.e., plate evaporators with the sea water sprayed on to the outside of the evaporator) (Mitchell and Spitler 2013).
Open-loop systems are generally designed with either a submersible pump in a wet sump pit connected to the water body or with a conventional centrifugal pump in a dry sump pit. It is also possible in some applications to place the pump just above the water level. Small (e.g., residential) systems are sometimes installed with a submersible pump in the water body.
Design guidelines for open-loop systems may be summarized as follows:
HDPE is recommended for pipelines because of its flexibility, durability, and high thermal resistance. HDPE is also fusible and floats in water, which makes it possible to connect large sections of pipe together for surface installation.
Design intakes to avoid entrainment and impingement of sediment and fish. A radial wedge wire intake screen with 0.08 to 0.375 in. openings placed 6.5 to 10 ft above the lake or seabed is recommended. Limit screened face velocity to 0.5 fps.
For direct surface water cooling applications, intake water temperature should be no higher than 55°F for space air dehumidification. Water with higher temperatures may also be used for sensible only cooling or precooling.
Pumps may be configured in a wet-sump or dry-sump configuration. For wet-sump pumping designs, a large-diameter intake pipeline or a deep sump pit may be necessary to achieve the required flow rate. For dry-sump pumping configurations, available net positive suction head should be calculated carefully to check against the pump specifications. Pump material should be chosen to resist corrosion and erosion.
Heat exchangers operating in salt water should be constructed from titanium; those operating in freshwater may use stainless steel. Water quality should be tested and verified.
Heat exchanger fouling may be a problem in warmer climates. Methods for addressing this concern include chlorine dosing, permanently installed brush systems, or disassembly and cleaning.
Heat pumps for larger systems are typically custom designed units. If used for heating, multistage compression is common.
Outfall structures should discharge at a depth that will not promote nutrient enhancement of the outfall area. They should also discharge near the lake or seabed and cover a large enough area so as to prevent a high thermal gradient in the source water body.
Closed-loop horizontal and surface water heat exchanger systems often require antifreeze in the circulating water in locations with significant heating seasons. Antifreeze may not be needed in a comparable vertical borehole heat exchanger, because the deep ground temperature is essentially constant. At a depth of 6 ft, a typical value for horizontal heat exchangers, ground temperature varies by approximately ±10°F. Even if the mean ground temperature is 60°F in late winter, ground temperature at a 6 ft depth drops to 50°F. The heat extraction process lowers the temperature even further around the heat exchanger pipes, probably by an additional 10°F or more. Even with good heat transfer to the circulating water, the entering water temperature (leaving the ground heat exchanger) is around 40°F. Lakes that freeze at the surface in the winter approach 39°F at the bottom, yielding nearly the same margin of safety against freezing of the circulating fluid. An additional 10°F temperature difference is usually needed in the heat pump’s refrigerant-to-water heat exchanger to transfer heat to the refrigerant. Having a refrigerant-to-water coil surface temperature below the freezing point of water risks growing a layer of ice on the water side of the heat exchanger. In the best case, coil icing restricts and may eventually block the flow of water and cause a shutdown. In the worst case, ice could burst the tubing in the coil and require a major service expense.
Several factors must be considered when selecting an antifreeze for a ground-loop heat exchanger; the most important are (1) effect on system life-cycle cost, (2) corrosivity, (3) leakage, (4) health risks, (5) fire risks, (6) environmental risks from spills or disposal, and (7) risk of future use (acceptability of the antifreeze over the life of the system). A study by Heinonen and Tapscott (1996) evaluating six antifreezes against these seven criteria is summarized in Table 22. No single material satisfies all criteria. Methanol and ethanol have good viscosity characteristics at low temperatures, yielding lower-than-average pumping power requirements. However, in concentrated forms they both pose a significant fire hazard. Methanol is also toxic, eliminating it from consideration in areas that require nontoxic antifreeze to be used. Propylene glycol had no major concerns, with only leakage and pumping-power requirements prompting minor concerns. Potassium acetate, calcium magnesium acetate (CMA), and urea have favorable environmental and safety performance, but are all subject to significant leakage problems, which has limited their use.