A Study on Improving the Coe ﬃ cient of Performance by Comparing Balancing Well and Standing Column Well Heat Exchange Systems

: This study proposed a technology to improve the performance characteristics and coe ﬃ cient of performance (COP) of a geothermal system by fundamentally preventing underground water discharge and maintaining a constant temperature of the underground heat exchanger composed of bleed discharge water that utilizes two balancing wells using cross-mixing methods. Using the standing column well (SCW) and cross-mixing balancing well underground heat exchanger, we compared and analyzed the e ﬀ ective thermal conductivity characteristics and COP characteristics during heating and cooling modes. Consequently, the cross-mixing balancing well underground heat exchanger exhibited more e ﬀ ective thermal conductivity than the SCW underground heat exchanger, with a high COP. Therefore, suggesting the performance was improved using groundwater ﬂow rather than SCW. The comparison and analysis results of the e ﬀ ective heat map characteristics using the results of the SCW and balancing well system showed that the heating operation for the SCW underground heat exchanger had better thermal conductivity characteristics than the cooling operation. In addition, regarding a balancing well underground heat exchanger, the cooling operation exhibited superior thermal conductivity characteristics. Thus, the performance was considered to have improved due to the ﬂow of activated groundwater in the ground and the rapid heat transfer without heat accumulation.


Introduction
The ground source heat pump system has been growing more than 10% annually in more than 30 countries over the past decade owing to its significant advantages utilizing renewable energy and high efficiency [1]. In Korea, installing systems in the public sector that utilize renewable energy is required in accordance with the recently implemented alternative energy use law, and the introduction of geothermal heat pump systems that use geothermal power have been increasing rapidly. A geothermal heat pump system maintains a constant temperature throughout the year by using underground heat sources (15-16 • C), indicating a higher system efficiency than air heat pump systems that use outdoor heat sources, whose temperatures vary with the season. The geothermal heat pump system consists of a heat pump, load-side heat exchanger, and underground heat exchanger responsible for cooling and heating loads. For a heat pump, a system (NR GT 101, 102, 103) [2][3][4] and a standard (KS B ISO 13256-1, 2) [5,6] have been prepared to meet the high efficiency of the heat pump according to test applied to simulate turbulence flow into a stratified current to assess its applicability. The numerical analysis was performed on the long-term behavior over 14 days, whereas the operation step of the SCW system was repeated. During the analysis, simulation of the heating mode was performed, and a numerical analysis was performed for two cases, i.e., the absence and presence of the application of the effective repair conductivity. The numerical analysis indicated the efficiency of applying the effective repair conductivity.
Numerous studies have been conducted using SCW geothermal heat pumps. Lee et al. [19] and Yang et al. [20] conducted studies on flow control and bleed control to improve the performance of SCW geothermal heat pumps, and then analyzed the performance improvement of SCW according to the presence or absence of a heat accumulator. To apply an SCW geothermal heat pump to collective residential facilities, Lee et al. [21] first modelled an SCW system based on whether the heat accumulator system was installed, and then analyzed the results of energy performance on a typical daily, monthly, and annual basis; consequently, the energy-saving effect consumed in heating and hot water production of buildings by installing the heat accumulator was analyzed.
When refilling an SCW ground heat exchanger bleed water by artificial incubation in another adjacent SCW-type ground heat exchanger, a case study of the change in the thermal conductivity found that the ground heat conductivity value was approximately 3.2 times higher than that measured at the same bleed rate in a single hole [22][23][24] (i.e., 3.24 and 2.96 W/m.K), when the heat conductivity was measured individually by applying a single hole bleed rate of 20% for the two adjacent SCW-type underground heat exchangers. However, the same bleed rate was applied to inject the discharged groundwater into the adjacent underground heat exchanger. The thermal conductivity value of K was calculated. It was estimated that the two SCW-type underground heat exchangers were connected to a reciprocal aquifer, one at approximately 90 m underground and the other at 280 m underground, resulting in the return of the bleed water of each heavy heat exchanger to the relative underground heat exchanger side. The re-injection of mutually bleed discharge water, within the allowed bleed rate according to the Renewable Energy Center Geothermal Facility Construction Guide, showed a fairly high thermal conductivity improvement trend. It was predicted that converting the re-injection method (balancing well) of these bleed effluents would be advantageous to improve the performance of geothermal facilities installed with the existing SCW-type ground heat exchanger to ensure the overall stability of the entire geothermal facility.
Garcia-Gil et al. [25][26][27] analyzed two real groundwater heat pump systems using actual exploitation datasets to estimate the thermal energy demand bias and, via extrapolation, to assess the nature of thermal interferences between the systems by numerical methods. The results highlighted real case evidences of the benefits of managed groundwater bodies using this nesting system, which significantly reduced the energy transferred to the aquifer by up to two orders of magnitude, consequently withdrawing most of the thermal imbalance in global terms with respect to the aquifer [25,26]. The exploitation regimes of 27 groundwater heat pump systems from an alluvial aquifer were first examined using descriptive statistics. Linear relationships between abstraction and injection temperatures of the systems were assessed by calculating the Pearson's correlation coefficient and were used as evidence of thermal interferences. Then, the time series of flow rate, operation temperature, and energy transfer were modelled via spectral analysis and sinusoidal regression methods, and a definition of the relative exploitation patterns was developed [27]. Meng et al. [28] considered a low-carbon technology to provide heating and cooling for buildings in an urban environment and focused on the short-and long-term evolution of groundwater temperature induced by high-density ground source heat pump (GSHP) installations in an urban residential area in Cologne, Germany. Muela-Maya et al. [29] proposed a procedure that allowed efficient numerical simulations to be performed at an urban scale. Specifically, they proposed a novel methodology to optimize the data treatment of highly transient real exploitation regimes by integrating energy transfer in the environment to reduce more than 90% registered raw datasets. Finally, Li et al. [30] showed that the thermal performance of the GSHP system could be significantly affected by complex geological substructures (such as ground stratification and groundwater advection). In this study, a seepage box was installed inside a two-layered laboratory device to investigate the heat transfer processes of unsaturated, saturated, and infiltrated ground. These results showed that the temperature and carried heat load of the cooler groundwater increased during the heat injection experiment and further contributed to various temperature distributions of the ground at different locations.
In this study, the thermal performance and coefficient of performance (COP) characteristics are analyzed by controlling the ratio of the entire groundwater to be returned to the two well holes using two well. Here, through comparison with the research results according to the bleeding rate, practical strengths and weaknesses are presented, and a study is conducted on the heat load characteristics applied to the actual system. For example, the heating and cooling modes were compared and analyzed for the temperature characteristics of the groundwater inlet and outlet when using the SCW underground heat exchanger, balancing well underground heat exchanger, and COP characteristics. In general, the thermal conductivity of an underground heat exchanger was measured when designing a building load. In this study, the heating and cooling modes were applied to the crossover operation of the balancing well to measure the thermal conductivity. Figure 1 presents the comparison test between the cooling and heating operations of the existing open underground heat exchanger to evaluate the energy efficiency and coefficient of performance (COP) of the system suitable for the on-site testing using the test method of the water-to-water geothermal source heat pump unit. An automatic cross-operating control system is used to maintain the optimal supply of heat sources for the existing SCW and to balance the well underground heat exchangers. The balancing well cross-mixed heat exchange geothermal heat pump system consists of a geothermal source heat pump and an underground heat exchanger and includes a cross-operation controller among the mechanical piping, circulation pump, and system control system. geological substructures (such as ground stratification and groundwater advection). In this study, a seepage box was installed inside a two-layered laboratory device to investigate the heat transfer processes of unsaturated, saturated, and infiltrated ground. These results showed that the temperature and carried heat load of the cooler groundwater increased during the heat injection experiment and further contributed to various temperature distributions of the ground at different locations.

Experimental Methodology
In this study, the thermal performance and coefficient of performance (COP) characteristics are analyzed by controlling the ratio of the entire groundwater to be returned to the two well holes using two well. Here, through comparison with the research results according to the bleeding rate, practical strengths and weaknesses are presented, and a study is conducted on the heat load characteristics applied to the actual system. For example, the heating and cooling modes were compared and analyzed for the temperature characteristics of the groundwater inlet and outlet when using the SCW underground heat exchanger, balancing well underground heat exchanger, and COP characteristics. In general, the thermal conductivity of an underground heat exchanger was measured when designing a building load. In this study, the heating and cooling modes were applied to the crossover operation of the balancing well to measure the thermal conductivity. Figure 1 presents the comparison test between the cooling and heating operations of the existing open underground heat exchanger to evaluate the energy efficiency and coefficient of performance (COP) of the system suitable for the on-site testing using the test method of the water-to-water geothermal source heat pump unit. An automatic cross-operating control system is used to maintain the optimal supply of heat sources for the existing SCW and to balance the well underground heat exchangers. The balancing well cross-mixed heat exchange geothermal heat pump system consists of a geothermal source heat pump and an underground heat exchanger and includes a cross-operation controller among the mechanical piping, circulation pump, and system control system.

Experimental Methodology
The test targets are one water-to-water geothermal source heat pump for 30RT-level cooling and heating and two underground heat exchangers with a typical SCW system installed with a diameter of 10 mm and at a depth of 300 m. The SCW underground heat exchanger has a natural water level of 4.7 m and a maximum capacity of 350 tons/day.  The test targets are one water-to-water geothermal source heat pump for 30RT-level cooling and heating and two underground heat exchangers with a typical SCW system installed with a diameter of 10 mm and at a depth of 300 m. The SCW underground heat exchanger has a natural water level of 4.7 m and a maximum capacity of 350 tons/day. To verify that the experimental measurements were reasonable, as shown in Figure 1, a justifiable means of validation was required. The simplest expression of the heat balance equation is the following: where . q in (W) represents the measured heat input to the water heater elements and pumps; . m (liter per minute, LPM) is the flow rate; C p denotes the specific heat of water; and T in and T out represent the temperatures measured with a thermostat.
After applying all the calibration equations to the measurement devices, the heat transfer rate predicted by the right-hand side of Equation (1) can be compared to the measured power input (left-hand side of Equation (1)). The numbers summarized in Table 1 are the average values over the length of each test. They were used to compare the instrumentation uncertainties and total heat input error. The uncertainties in the temperature measurement were ±0.01 • C for the probes and ±0.04 • C for the signal conditioner of the digital displays with the analog signal. The total uncertainty for the temperature measurements is expressed in quadratic form, as shown in Equation (2): Considering that ∆T for each test is approximately 5 • C, the uncertainty due to the temperature measurement becomes: Using the highest error for the flowmeter, taken from Table 2, of ±2.03%, the total uncertainty in the heat balance equation was computed as: Total Error = (±0.0165) 2 + (±0.0203)ˆ2 ≈ 2.62% (4) As shown in Figure 2, the balancing well cross-mixed heat exchange system is characterized by different operational methods in the two SCW-type geothermal heat exchangers with 100% pumping from each geothermal heat exchanger, while the recovery quantity is different. In other words, the principle of generating the flow of groundwater in an underground aquifer was applied to generate a difference in the operational level of the two SCW geothermal heat exchangers. In this study, an experiment was performed using the cross-operating condition supply and return of 80% and 120%, respectively, as shown in Figure 2a. If the circulation water supplied simultaneously from both of the ground heat exchangers was returned after the heat exchange, 120% of it was recovered by the ground Sustainability 2020, 12, 10445 6 of 28 heat exchanger (#1 zone), and 80% of the remaining circulation was recovered by the other ground heat exchanger (#2 zone) and the cross-operating mains, which were set to activate the aquifer by forming a difference in the groundwater level.
t is the heat pump outlet temperature (°C) of circulating water on the source side, c is the specific heat of heat source circulation water [J/(kg · K)], w is the mss flow rate of circulating water on the heat source side (kg/s), ∅ is the total power consumption (W).
One of the most important aspects to consider in designing geothermal heat pump systems is the calculation of the length of the underground heat exchanger. To determine the number of geothermal heat exchangers required by the user, the amount of heat exchange present on the ground should be predicted by calculating the length of the appropriate underground heat exchanger for the design load. First, the method used to predict the underground thermal conductivity of SCW underground heat exchangers was used by applying the linear source method, which is used in vertically enclosed types.
(a) Cross-mixing operating strategies for balancing well  The linear source theory is well established and has been applied to thermal performance tests since 1980 [31]. This approach has been extended to the comparative studies of energy losses in different heat exchanger arrays [32][33][34]. This line-source theory approach is applied to the thermalresponse test data for the borehole heat exchanger (BHE) in the current research [35][36][37][38][39][40][41][42].   Figure 2b demonstrates a flow chart depicting the balancing well cross control method. When the circulating water is supplied from the underground heat exchanger (A) and the intermediate heat exchanger (B) performs heat exchange and is returned, 120% of the circulating water is returned to the underground heat exchanger (A-Zone), and the remaining is used in another underground heat exchanger (B-Zone). This system activates the aquifer by forming a groundwater level difference, and bleeding and recharging are controlled to alternately operate the system according to the set cross-operation cycle.
The system energy efficiency was calculated as the ratio of the resultant value of the produced heat obtained by applying the liquid enthalpy test method of the heat source and load sides to the COP of the system to compare it with the existing SCW geothermal system. In the liquid enthalpy method, the temperature, flow rate, and electricity consumption of the circulating water are recorded through the data logger at the entrance and exit of the heat exchanger on the heat source and the load side of the heat pump, respectively. The heat produced by the geothermal system is calculated using the following formulae: Heating mode : where ∅ tco is the total cooling capacity of the heat pump (W), ∅ tho is the total heating capacity of the heat pump (W), t f3 is the heat pump inlet temperature ( • C) of circulating water on the source side, t f4 is the heat pump outlet temperature ( • C) of circulating water on the source side, c pf is the specific heat of heat source circulation water J/(kg·K)], w f is the mss flow rate of circulating water on the heat source side (kg/s), ∅ t is the total power consumption (W).
One of the most important aspects to consider in designing geothermal heat pump systems is the calculation of the length of the underground heat exchanger. To determine the number of geothermal heat exchangers required by the user, the amount of heat exchange present on the ground should be predicted by calculating the length of the appropriate underground heat exchanger for the design load. First, the method used to predict the underground thermal conductivity of SCW underground heat exchangers was used by applying the linear source method, which is used in vertically enclosed types.
The linear source theory is well established and has been applied to thermal performance tests since 1980 [31]. This approach has been extended to the comparative studies of energy losses in different heat exchanger arrays [32][33][34]. This line-source theory approach is applied to the thermal-response test data for the borehole heat exchanger (BHE) in the current research [35][36][37][38][39][40][41][42].
The effective thermal conductivity and thermal resistance can be obtained from the thermal-response test data using Equation (7) [43] as: where λ is the underground thermal conductivity of an SCW underground heat exchanger, k refers to the slope of the mean temperature variation curve of the circulation water over the logarithmic time, Q is the average amount of heat (W), and H refers to the length of the geothermal well (m). As expressed in Equation (7), the important factors that determine the amount of heat exchange in the underground heat exchanger are the underground temperature, length of the underground heat exchanger, and underground thermal conductivity. For SCW-type underground heat exchangers, the length of the heat exchanger is a crucial factor. In the case of vertical sealing, the depth of perforation from the trench depth is regarded as the length of the heat exchanger, and other sealed underground heat exchangers have similar tendencies. However, because SCW underground heat exchangers use underground water generated in a perforated well, it is difficult to confirm that the depth of perforation, as the length of the underground heat exchanger, is similar to that of an enclosed type, owing to various levels of groundwater depending on regional characteristics. The length of the underground heat exchanger, which was used for calculating the underground thermal conductivity, was defined as the length of the geothermal well, allowing more practical underground thermal conductivity to be induced. Hence, injecting heat from the underground heat exchanger into the underground heat exchanger is most preferred, which is used in the linear heat source method. This is because the thermal properties of the underground heat absorption and dissipation are the same under actual loads, when the actual amount of heat that is intended to be used is injected into the ground, and therefore the test can predict the thermal properties of the ground.

Results and Investigations
3.1. Initial Ground-Water Temperature Figure 3a,b shows the flow rates of the circulated water of the cross-mixed balancing well underground heat exchanger operating during the heating and cooling modes, average temperature and the temperature difference between the input and exit temperature of the ground, amount of heat injection to the power used by the system, power and instantaneous effective heat conductivity, and COP. The cross-mixed balancing well underground heat exchanger was operated by injecting it with 220 and 100 LPM of circulated water into the two underground holes. Owing to this operation, infinite energy of the ground is utilized through activation of the aquifer developed in the ground. In addition, this method is similar to the method that is based on the bleed rate, but the difference is identified with the utilization of underground water. In general, to control the bleed rate, only 80% of the water obtained from the water collector is injected as a recovery tool, and 20% of the underground water is utilized to show the characteristics of the underground heat exchanger. However, in this study, it was determined that by re-injection of the equally acquired circulating water between the two holes the water naturally moved from the a higher to a lower level, while using underground water more rapidly due to the inflow of underground water.
The flow rate injected into two holes (well) from the experimental conditions of the heating mode and cooling mode, shown in Figure 1, was maintained under the same conditions. The characteristics of the heating mode and the cooling mode can be observed through the temperature distribution. Clearly, the difference in the injection heat is determined by the temperature difference between the inlet and outlet temperatures. Finally, the linear source method was used to obtain the effective thermal conductivity. The cooling mode shows a higher efficiency than that of the heating mode, as observed from the results of the COP values in Figure 3. The effective thermal conductivity values obtained from Figure 1 in the heating and cooling modes were 11.3 (W/m·K) and 16.2 (W/m·K0, respectively. From the results, the effective thermal conductivity value shows a higher value during the operation of the cooling mode than in the heating mode, and the experimental results are improved by approximately 70%. This is assumed to be the result of improved circulation water returning to the ground through cross mixing, due to the rapid convection of fluids and underground water flow. Figure 4a,b shows the result of the flow rate of the water circulated to the SCW ground heat exchangers without any cross-mixing operating in heating and cooling modes, the difference in the average temperature of the ground and the temperature of the I/O, the amount of heat injection heat to the power used by the system, the power and ground of the equipment, and the instantaneous effective heat conductivity and COP. Unlike the cross-mixed balancing well ground heat exchanger, the SCW ground heat exchanger was operated by injecting 150 LPM of water into the two holes on the ground. An experiment was performed to obtain the difference between this operation method and the balancing well cross-mixing method. The trend in Figure 2 shows a trend similar to that shown in Figure 1. However, the results of the effective heat conductivity of the two systems were contradictory as compared with the cross-mixed balancing well underground heat exchanger of Figure 1. This is because the cross-mixed balancing well method enables an active heat transfer owing to the changes in the recovery flow rate and activation of groundwater flow, while the SCW method does not actively intersect the underground water flow. The possible reason is that groundwater flow has not been activated because it maintains the same level.
Sustainability 2020, 12, x FOR PEER REVIEW 9 of 28 does not actively intersect the underground water flow. The possible reason is that groundwater flow has not been activated because it maintains the same level.
(a) Balancing well during heating operation (b) Balancing well during the cooling operation      Figure 5 demonstrates the results of measuring the thermal performance of earth using the existing SCW method. The slope of the graph in Figure 5b represents the k value of Equation (7) presented in the line-source method. Using Equation (7), the effective heat transfer of the SCW underground heat exchanger can be obtained. As shown in Table 3, the effective heat transfer value is 3.075 (W/m·K). Figure 6 presents the results of measuring the thermal performance using a cross-mixing balancing well underground heat exchanger method. As previously described, the thermal performance was measured using the same line-source method. As mentioned in Table 1, the effective heat transfer value of the cross-mixing balancing well underground heat exchanger is 9.22 (W/m·K0. As a result of measuring the thermal performance of the ground using two types of underground heat exchangers, we showed that the thermal performance of the cross-mixing balancing well underground heat exchanger was more than three times higher than that of the SCW underground heat exchanger. Figure 7 illustrates the results of comparing and analyzing SCWs of single wells and two wells and SCWs with bleeding applied. When two wells and bleeding were applied, the thermal performance was improved as compared with that of the existing SCW [23]. This could have been because of the results obtained from Figures 5 and 6, which are similar to the results of the study of Lee et al. [23]. It is estimated that similar results were obtained when comparing the performance of bleed using SCW ground heat exchanger in a single well and two wells. Similar to the cross-mixed balancing well method applied in this study, two wells were used to obtain results that were very similar to the bleeding result. in Figure 5b represents the k value of Equation (7) presented in the line-source method. Using Equation (7), the effective heat transfer of the SCW underground heat exchanger can be obtained. As shown in Table 3, the effective heat transfer value is 3.075 (W/m·K). Figure 6 presents the results of measuring the thermal performance using a cross-mixing balancing well underground heat exchanger method. As previously described, the thermal performance was measured using the same line-source method. As mentioned in Table 1, the effective heat transfer value of the cross-mixing balancing well underground heat exchanger is 9.22 (W/m·K0. As a result of measuring the thermal performance of the ground using two types of underground heat exchangers, we showed that the thermal performance of the cross-mixing balancing well underground heat exchanger was more than three times higher than that of the SCW underground heat exchanger. Figure 7 illustrates the results of comparing and analyzing SCWs of single wells and two wells and SCWs with bleeding applied. When two wells and bleeding were applied, the thermal performance was improved as compared with that of the existing SCW [23]. This could have been because of the results obtained from Figures 5 and 6, which are similar to the results of the study of Lee et al. [23]. It is estimated that similar results were obtained when comparing the performance of bleed using SCW ground heat exchanger in a single well and two wells. Similar to the cross-mixed balancing well method applied in this study, two wells were used to obtain results that were very similar to the bleeding result.     Figure 8 shows the results of variation in temperature against the measured time Ln (natural log) to evaluate the thermal performance of the SCW ground heat exchanger; the graph is used to obtain the slope of Equation (3). Figure 8a,b presents the thermal load status on the load side in the heating and cooling modes, respectively. The average effective thermal conductivity values of the heating and cooling modes are 5.86 and 3.19 W/mK, respectively. However, the heating mode shows appropriate thermal performance than the cooling mode. From the results of Figure 8b, it is determined that thermal performance is degraded due to heat accumulation by the increase in the temperature of the circulating water on the geothermal side. The results shown in Figure 8a are assumed to be due to the alleviation of heat accumulation caused by the lower circulated water temperature on the geothermal side.   Figure 8 shows the results of variation in temperature against the measured time Ln (natural log) to evaluate the thermal performance of the SCW ground heat exchanger; the graph is used to obtain the slope of Equation (3). Figure 8a,b presents the thermal load status on the load side in the heating and cooling modes, respectively. The average effective thermal conductivity values of the heating and cooling modes are 5.86 and 3.19 W/mK, respectively. However, the heating mode shows appropriate thermal performance than the cooling mode. From the results of Figure 8b, it is determined that thermal performance is degraded due to heat accumulation by the increase in the temperature of the circulating water on the geothermal side. The results shown in Figure 8a are assumed to be due to the alleviation of heat accumulation caused by the lower circulated water temperature on the geothermal side.

Average Eff. Thermal Cond. = 3.19 [W/m K]
(b) SCW during cooling operation Figure 8. Characteristics on the average temperature and effective thermal conductivity in the cooling and heating modes using the SCW geothermal heat exchanger. Figure 9 presents the result of variation in temperature against the measured time Ln (natural log) to evaluate the thermal performance of the balancing well underground heat exchanger; the graph is used to obtain the slope of Equation (3). Figure 9a,b shows the thermal load status on the  Figure 9 presents the result of variation in temperature against the measured time Ln (natural log) to evaluate the thermal performance of the balancing well underground heat exchanger; the graph is used to obtain the slope of Equation (3). Figure 9a,b shows the thermal load status on the load side in the heating and cooling modes, respectively. The slopes of the two modes show conflicting forms caused by the different conditions of the heating and cooling modes. Here, the slope of the temperature over this calculated time was −1.283 and 1.209, respectively. The effective thermal conductivity values using the line-source expression show the values of 11.3 and 16.2 W/mK, respectively, during the heating and cooling modes. These results demonstrate the opposite tendency of the results in Figure 5. The mean effective thermal conductivity shown in Figure 9a indicates a tendency for the value of Figure 9b to be large. The possible reason is due to the energy flowing from the outside owing to the low temperature underground water flow along with circulation of water from the well to the low well, which is higher than the natural water level, due to different water levels.
Here, in the case of the balancing well underground heat exchanger, the reason why the thermal conductivity is higher in the cooling mode than the heating mode is because the circulated water temperature on the geothermal side is lower and the heat transfer characteristics are improved due to the inflow of groundwater. Table 4 presents the result of the comparison and analysis of characteristics of the effective heat map obtained using the results demonstrated in Table 3 and Figures 8 and 9. These results showed that the heating operation for the SCW underground heat exchanger exhibited better thermal conductivity characteristics than the cooling operation. In addition, in the case of a balancing well underground heat exchanger, the cooling operation exhibited excellent thermal conductivity characteristics. As such, the performance was considered to have improved because of the flow of activated groundwater in the ground and rapid heat transfer without heat accumulation. Thus, the balancing well underground heat exchanger showed 24% improvement in COP as compared with the SCW underground heat exchanger.  Figure 5. The mean effective thermal conductivity shown in Figure 9a indicates a tendency for the value of Figure 9b to be large. The possible reason is due to the energy flowing from the outside owing to the low temperature underground water flow along with circulation of water from the well to the low well, which is higher than the natural water level, due to different water levels.
Here, in the case of the balancing well underground heat exchanger, the reason why the thermal conductivity is higher in the cooling mode than the heating mode is because the circulated water temperature on the geothermal side is lower and the heat transfer characteristics are improved due to the inflow of groundwater. Table 4 presents the result of the comparison and analysis of characteristics of the effective heat map obtained using the results demonstrated in Table 3 and Figures 8 and 9. These results showed that the heating operation for the SCW underground heat exchanger exhibited better thermal conductivity characteristics than the cooling operation. In addition, in the case of a balancing well underground heat exchanger, the cooling operation exhibited excellent thermal conductivity characteristics. As such, the performance was considered to have improved because of the flow of activated groundwater in the ground and rapid heat transfer without heat accumulation. Thus, the balancing well underground heat exchanger showed 24% improvement in COP as compared with the SCW underground heat exchanger.
(a) Cross-mixing balancing well during heating operation    Figure 10 shows the temperature distribution of the inlet/outlet (In/Out) on the geothermal and load sides and the total power used and the energy of the SCW ground heat exchanger. Finally, a COP analysis was performed for each mode. Consequently, the heating mode demonstrated in Figure  10b reveals a stable increase in the change in the ground initial temperature as compared with the SCW cooling mode demonstrated in Figure 10a.   Figure 10 shows the temperature distribution of the inlet/outlet (In/Out) on the geothermal and load sides and the total power used and the energy of the SCW ground heat exchanger. Finally, a COP analysis was performed for each mode. Consequently, the heating mode demonstrated in Figure 10b reveals a stable increase in the change in the ground initial temperature as compared with the SCW cooling mode demonstrated in Figure 10a.

Coefficient of Performance
Using a cross-mixed balancing well underground heat exchanger, a COP analysis was performed by comparing the temperature of the ground In/Out and In/Out for the heating and cooling modes, as well as the amount of power used to operate the system. The results are shown in Figure 8, which shows characteristics similar to those shown in Figure 10. However, the comparison of the temperature distribution characteristics of the underground and load sides under cooling conditions in Figures 10a and 11a demonstrate that, in the case of SCW ground heat exchangers shown in Figure 10a, the cyclical water temperature on the ground increases more as compared with the cross-mixed balancing well underground heat exchangers shown in Figure 11a. Meanwhile, the cross-mixed balancing well heat exchanger shows that the temperature of circulating water on the ground does not increase rapidly. This is due to the activation of the underground aquifer by water level difference owing to the difference in the number of cycles returned to the two wells when using the cross-mixed balancing well. In addition, the improvement of the flow of the underground aquifer to improve the efficiency of the heat exchanger and the ability to recover the temperature of the underground circulating water is considered to be the causes of this increase. Hence, it is believed that heat transfer performance can be improved by disturbing the physical fluids and optimizing the amount of water in the pit through the control of the water level difference and cross operating by utilizing the underground heat exchanger applied with the cross-mixed balancing well technique. Furthermore, these technologies, along with the application of groundwater filtering devices, are expected to prevent dust. Using a cross-mixed balancing well underground heat exchanger, a COP analysis was performed by comparing the temperature of the ground In/Out and In/Out for the heating and cooling modes, as well as the amount of power used to operate the system. The results are shown in Figure 8, which shows characteristics similar to those shown in Figure 10. However, the comparison of the temperature distribution characteristics of the underground and load sides under cooling conditions in Figures 10a and 11a demonstrate that, in the case of SCW ground heat exchangers shown in Figure 10a, the cyclical water temperature on the ground increases more as compared with the cross-mixed balancing well underground heat exchangers shown in Figure 11a. Meanwhile, the cross-mixed balancing well heat exchanger shows that the temperature of circulating water on the ground does not increase rapidly. This is due to the activation of the underground aquifer by water level difference owing to the difference in the number of cycles returned to the two wells when using The cooling and heating modes shown in Figure 11a,b, respectively, were operated to compare the COP, and it was confirmed that the cross-mixed balancing well underground heat exchanger performed somewhat better during the cooling mode than during the heating mode.
Tables 5 and 6 present the results for the analysis of the ground and load immediate temperature, total power used, power consumption, and COP characteristics of the SCW and balancing well underground heat exchangers. Table 5 shows the average COP of the SCW underground heater in cooling and heating operations to be 3.05 and 2.92 COP, respectively. Table 6 presents these values to be 3.76 and 3.27, respectively. The COP of two types of underground heat exchangers indicates a better performance of cross-mixed balancing well underground heat exchangers as compared with the SCW type. It is believed that reflecting these systems in the design would reduce construction costs and improve the overall performance.
utilizing the underground heat exchanger applied with the cross-mixed balancing well technique. Furthermore, these technologies, along with the application of groundwater filtering devices, are expected to prevent dust.
The cooling and heating modes shown in Figure 11a,b, respectively, were operated to compare the COP, and it was confirmed that the cross-mixed balancing well underground heat exchanger performed somewhat better during the cooling mode than during the heating mode. Tables 5 and 6 present the results for the analysis of the ground and load immediate temperature, total power used, power consumption, and COP characteristics of the SCW and balancing well underground heat exchangers. Table 5 shows the average COP of the SCW underground heater in cooling and heating operations to be 3.05 and 2.92 COP, respectively. Table 6 presents these values to be 3.76 and 3.27, respectively. The COP of two types of underground heat exchangers indicates a better performance of cross-mixed balancing well underground heat exchangers as compared with the SCW type. It is believed that reflecting these systems in the design would reduce construction costs and improve the overall performance. Tables 7 and 8 present the results of the analysis of the initial temperature and COP characteristics of the SCW and balancing well underground heat exchangers, respectively. Table 7 presents that the stable characteristic of the balancing well underground heat exchanger is more than 10 times as a result of distributed distribution in the distribution of initial temperature. The results indicate that the ground water temperature of the balancing well underground heat exchanger is more stable than that of the SCW underground heat exchanger, and thus the system performance is stable. Table 8 shows the improvement in the COP of the balanced well underground heat exchanger was more than 23% over the SCW type. It is believed that this improvement has increased the circulation and heat transfer effects of the underground water on the ground through cross mixing.   The thermal conductivity of the geothermal heat exchanger for the measured geology always has a constant value. The reason for this is thought to be that the effective thermal conductivity is determined by the energy transfer of circulating water, which is a medium for heat transfer. In this study, the thermal conductivity of the balancing well underground heat exchanger is improved because it utilizes the flow of groundwater by controlling the bleeding rate in different well holes to increase the flow of underground water in the ground. This same effect was obtained, which was similar to the effective thermal conductivity characteristics according to the bleeding rate. Recharge technology through groundwater level difference control can be maximized through artificial recharge control through proportional control valves and flow meters.
Therefore, it was derived that the overall COP was improved due to a decrease in the amount of heat injected due to the energy introduced from the groundwater in the ground. In addition, it is judged that the improvement was due to the improvement of the heat exchange efficiency through the improvement of the underground aquifer flow and the increase in the temperature restoration ability of the underground circulating water. Figure 12 shows the results of analyzing the thermal environment characteristics of the ground water through the cross mixing of the SCW and balancing well methods. Figure 12a shows the characteristics of the circulating water intake temperature, circulation flow rate, bleed flow rate, input and exit temperature difference, and injected heat caused by the change to the balancing well method from the SCW method after 24 h of operation. The SCW method initially shows a continuous increase in the temperature of the In/Out during operation. However, utilizing the SCW method instead of the balancing well method results in a decrease in temperature difference between the inlet and out temperatures of the circulating water. The possible reason is the activation of the underground aquifer by the water level difference of the well by the injected bleed flow and the activation of the flow of the underground aquifer. Consequently, the temperature recovery of the underground circulating water might increase. Figure 12b shows the results of the circulation water temperature, circulation flow rate, bleed flow rate, and injection heat, due to utilization of the SCW method, instead of the balancing well operation, after 24 h of operation. When operating the balancing well method, the temperature difference between the inlet and exit temperatures of the circulating water is observed to be slightly higher than that shown in Figure 12a. However, when changing from the balancing well method to the SCW method of operation, the temperature of the In/Out increases rapidly. Through this technique, it is deemed that the heat accumulation phenomenon occurred because of the increase in the temperature of the circulating water in the ground. As shown in Table 4, when driving balancing well, the thermal efficiency increases more than that of the SCW, and the thermal environmental conditions of the ground water are optimized, which can be a condition for long-term operation. 4, when driving balancing well, the thermal efficiency increases more than that of the SCW, and the thermal environmental conditions of the ground water are optimized, which can be a condition for long-term operation.

Conclusions
The results of the analysis of the thermal environment and COP characteristics during heating and cooling operations using SCW and cross-mixed balancing well underground heat exchangers are presented as follows: 1. Using the SCW and cross-mixing balancing well underground heat exchanger, the effective thermal conductivity characteristics and COP characteristics during heating and cooling modes were compared and analyzed. Thus, the cross-mixing balancing well underground heat

Conclusions
The results of the analysis of the thermal environment and COP characteristics during heating and cooling operations using SCW and cross-mixed balancing well underground heat exchangers are presented as follows: 1.
Using the SCW and cross-mixing balancing well underground heat exchanger, the effective thermal conductivity characteristics and COP characteristics during heating and cooling modes were compared and analyzed. Thus, the cross-mixing balancing well underground heat exchanger exhibited more effective thermal conductivity than the SCW underground heat exchanger with a high COP. Therefore, we assumed that the performance was improved because it utilized the groundwater flow in contrast to the SCW.

2.
The effective heat transfer value of the cross-mixing balancing well underground heat exchanger was 9.22 (W/m·K). The thermal performance of the ground was measured using two types of underground heat exchangers; the results showed that the thermal performance of the cross-mixing balancing well underground heat exchanger was more than three times higher than that of the SCW underground heat exchanger. 3.
In the case of SCW geothermal heat exchanger, the average effective thermal conductivity values of the heating and cooling modes were 5.86 and 3.19 W/mK, respectively. In case of balancing well cross-mixing geothermal heat exchanger, the effective thermal conductivity values using the line-source expression were 11.3 and 16.2 W/mK, respectively, during the heating and cooling modes. A comparison of the SCW and cross mixing balancing well geothermal heat exchanger showed that the balancing well system has much better performance than SCW. 4.
The result of comparing and analyzing the characteristics of the effective heat map using the results of SCW and balancing well system showed that the heating operation for the SCW underground heat exchanger had better thermal conductivity characteristics than the cooling operation. In addition, in the case of a balancing well underground heat exchanger, the cooling operation showed suitable thermal conductivity characteristics. As such, it is considered that the improvement in performance was caused by the flow of activated groundwater in the ground and rapid heat transfer without heat accumulation. 5.
The COP of two types of geothermal heat exchangers indicates a better performance of cross-mixed balancing well underground heat exchangers as compared with the SCW type. It is believed that reflecting these systems in the design would reduce the construction costs and improve the overall performance. 6.
The results of analysis of the thermal environment characteristics of the ground water through the cross mixing of the SCW and balancing well methods showed that, when driving the balancing well, the thermal efficiency of cross-mixing balancing well system increases more than that of the SCW, optimizing the thermal environmental conditions of the ground water, which can be a condition for long-term operation.
Author Contributions: Conceptualization, K.L.; methodology, K.L.; investigation, M.L.; data curation, C.L.; writing-original draft preparation, C.L.; writing-review and editing, C.L. All authors have read and agreed to the published version of the manuscript.