TED-AJ03-202 NUMERICAL MODEL FOR THE FRACTURE TYPE GEOTHERMAL RESERVOIR WITH THE MULTI-BOREHOLE SYSTEM
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概要
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An improved three-dimensional simulating model (FRACSIM-3D) for heat and fluid flow within a geothermal reservoir is presented. The model effectively simulates two main stages of the geothermal reservoir exploitation, namely, the hydraulic stimulation of the existing natural fracture of the Hot Dry Rock (HDR) reservoir and the forced convection through the fracture media when the filtrating fluid extracts the heat from the hot rock and delivers it to the production wells. Modeling of the first stage incorporates the mechanical rock-fluid interaction during hydraulic stimulation and quantitatively predicts the 3D reservoir growth behavior. In this model the pre-existing fractures are generated stochastically. The fractal size distribution of the penny-shaped fractures with random orientation is assumed. The fractal fracture radius γ distribution is modeled by equation γ_α=((1-α)γ^<-D>_<min>+αγ^<-D>_<max>)^<-1/D>; where α is a random parameter in the interval [0,1]; γ_<min> and γ_<max> are the lower and upper fracture radius limits, respectively; D is fractal dimension of the fracture length (radius) distribution. Thus, for the purpose of simulation, it is necessary to specify the length of the smallest and largest fractures, as well as fractal dimension D. The fluid flow is approximated by the Darcy law equation. Pressure distribution within the fracture rock is used for calculating the growth of the cracks apertures and shear displacements. This requires several iterations; solving the complete flow model simulating the fracture system anew each time and recalculating the shear displacement using the inner fracture pressure from the previous iteration. The heat extraction stage of the reservoir exploitation is simulated by the unsteady energy conservation equation. Since the flow rate within the reservoir is relatively high, the mathematical model accounts for the effect of thermal dispersion. Since the heat accumulated by the fluid within the system of injection boreholes can constitute the substantial fraction of the total thermal output of the geothermal power plant, the model of heat and mass transfer in the fractured media at the heat extraction stage should be coupled with the equations which describe the heat transport in the system of injection and production wells. Mathematical model of heat flow within the multi-borehole circulating system is proposed in this study. The schematic sketch of the multi-borehole system under consideration, which has a number of injection wells and one production well, is presented in figure below. [figure] On the basis of this model the major parameters that affects the thermal productivity of the geothermal power plant are analyzed. The effective regimes of the fluid circulation and optimal geometry of the multi-borehole system are proposed.
- 一般社団法人日本機械学会の論文
著者
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HASHIDA Toshiyuki
Fracture Research Institute, Tohoku University
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Hashida Toshiyuki
Fracture And Reliability Res. Inst. Graduate School Of Engineering Tohoku Univ.
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Hashida Toshiyuki
Fracture Research Institute School Of Engineering Tohoku University
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Yoshida Kei
Fracture Research Institute School Of Engineering Tohoku University
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Fomin Sergei
Fracture Research Institute Tohoku University
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Fomin Sergei
Fracture Research Institute School Of Engineering Tohoku University
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