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r_W Density of groundwater 1000 [17] Kg/m3 Energies 2022, 15, 6385 T_init_p Initial temperature of U pipe T_c Daily cooling time 289.15 [18] K 7 of 13 w_f Width of fracture k_w Thermal conductivity of water 1 × 10−4 [17] m 0.59 [17] W/(m(K) Input temperature of Tjin_w working fluid in winter Cp_f Specific heat capacity of fracture 280.15 [1] K Cp_w Specific heat capacity of water 2400 [17] J/(kg(K) 930 [17] J/(kg(K) k_pipe Thermal conductivity of U pipe T_φft TPeomropseirtyatoufremoaftrfirxacture water 0.43 [18] W/(mK) 2809..0115[[16]] /K 24 [18] h r_W Density of groundwater w_f Width of fracture k_w Thermal conductivity of water Cp_w Specific heat capacity of water Cp_f Specific heat capacity of fracture T_c Daily cooling time T_ft Temperature of fracture water 1000 [17] Kg/m3 1 × 10−4 [17] m 0.59 [17] W/(m(K) 2400 [17] J/(kg(K) 930 [17] J/(kg(K) 24 [18] h 289.15 [16] K Figurree66..SiSmimulautleadterdocrkomckasmsawsisthwUitphipUespainpdesmaonddelmspoedceiflicsaptieocnifis.c(aAt)iornocsk.m(Aa)ssrowcikthmouatsasfwraict-houta ture (NF). (B) rock mass with a single horizontal fracture (F1). (C) rock mass with two horizontal fracture (NF). (B) rock mass with a single horizontal fracture (F1). (C) rock mass with two horizontal fractures (F2). fractures (F2). The distance between the U pipes was 5 m, and the rock mass was a homogeneous cuboid with the size of 40 m × 40 m × 120 m. At the top of this model, the vertical U pipes c were connected in parallel through a horizontal pipe network. Points A and B in Figure 7 aFrieguthre6w.SaimteurlianteldetroacnkdmoausstlwetithofUthpiepeUsapnidpemnodeetwlsopercki,firceastiponesc.t(iAve)lryo.ckTmheaszsewroithpoouitnatfwraca-ssetat ture (NF). (B) rock mass with a single horizontal fracture (F1). (C) rock mass with two horizontal the ground surface. The geometric and physical parameters involved in this simulation fractures (F2). AB research are shown in Table 1. Figure 7. Layout of the heat exchange pipes in the model. (A) water inlet point; (B) water outlet point; The number values are the location of holes. 3.2. Control Equations In the simulation, the fracture water flow, heat transfer in porous media, and heat transfer in pipes were coupled to investigate how the fracture water flow affects the heat transfer of a rock mass in the operation of GCHP. Figure 7. Layout of the heat exchange pipes in the model. (A) water inlet point; (B) water outlet FigurEea7c.hLsaiymoultaotfedthepehreiaotdexinchclaundgedpi4pemsointhes mofohdeal.ti(nAg) wanadte8r imnloetnpthosinot;f(sBh)uwtdatoewr onu(t1le5t point; point; The number values are the location of holes. NThoevnemumbebrertova1l5uMesarrcehthoef tlhoceantieoxnt oyfeahro)l.eTs.he relative piecewise functions were as follows: 3.2. Control Equations Table 1. Definition of the physical parameters in the numerical model. In the simulation, the fracture water flow, heat transfer in porous media, and heat Parameter T_init_m C_p_eff k_eff k_air Kappa_m u_pipe Tjin_w T_init_p k_pipe φ r_W w_f k_w Cp_w Cp_f T_c T_ft tDraensscfreiprtionnpoifpPehsywsiecrael Pcaoruampletdersto investigate how the fractuVraeluwe ater flow affecUtsntiht e heat transfer of a rock mass in the operation of GCHP. Initial temperature of rock mass 289.15 [16] K SpeciEfiaccheastimcaupalacitteydofpreorcikodmainsscluded 4 months of heating8a90nd[168] months of shJu/(tkdgo·wK)n (15 Thermal conductivity of rock mass 2.95 [17] W/(m·K) November to 15 March of the next year). The relative piecewise functions were as follows: Thermal conductivity of air Permeability of rock mass Velocity of fluid in U pipe Input temperature of working fluid in winter Initial temperature of U pipe Thermal conductivity of U pipe Porosity of matrix Density of groundwater Width of fracture Thermal conductivity of water Specific heat capacity of water Specific heat capacity of fracture Daily cooling time Temperature of fracture water 0.026 [17] W/(m·K) 1 × 10−15 [16] m2 0.70 [18] m/s 280.15 [1] K 289.15 [18] K 0.43 [18] W/(m·K) 0.01 [16] / 1000 [17] Kg/m3 1 × 10−4 [17] m 0.59 [17] W/(m(K) 2400 [17] J/(kg(K) 930 [17] J/(kg(K) 24 [18] h 289.15 [16] KPDF Image | Research on the Application of Fracture Water
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