Integral equation solution of heat extraction from a fracture in hot dry rock

Alexander H.‐D. Cheng1, Ahmad Ghassemi2, Emmanuel Detournay3
1Department of Civil & Environmental Engineering, University of Delaware, Newark, Delaware 19716, U.S.A. Presently, Department of Civil Engineering, University of Mississippi, University, MS 38677, U.S.A.
2Department of Geology and Geological Engineering, University of North Dakota, Grand Forks, ND 58202, U.S.A.
3Department of Civil Engineering, University of Minnesota, Minneapolis, MN 55455, U.S.A.

Tóm tắt

AbstractIn the study of heat extraction by circulating water in a fracture embedded in geothermal reservoir, the heat conduction in the reservoir is typically assumed to be one dimensional and perpendicular to the fracture. In this paper, we demonstrate that by an integral equation formulation utilizing Green's function, the multi‐dimensional heat flow in the reservoir can be modelled. In the resulting numerical solution system, the discretization of reservoir geometry is entirely eliminated, leading to a much more efficient scheme. The multi‐dimensional heat conduction effect as compared to its one‐dimensional simplification is studied. Copyright © 2001 John Wiley & Sons, Ltd.

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Tài liệu tham khảo

10.1016/S0375-6505(99)00026-7

10.1016/0375-6505(95)00011-E

10.1016/0375-6505(95)00018-L

10.1145/361953.361969

Cheng AH‐D, 1994, Approximate inversion of the Laplace transform, Mathematica Journal, 4, 76

Gringarten AC, 1974, Theory of heat extraction from fracture hot‐dry rock, Journal of Geophysical Research, 80, 1120, 10.1029/JB080i008p01120

10.1029/JB081i002p00359

10.1098/rspa.1953.0139

10.1098/rspa.1954.0130

10.1098/rspa.1956.0065

AbeH MuraT KeerLM.Heat extraction from a hydraulically fractured penny‐shaped crack in hot dry rock. Proceedings of the 2nd Workshop Geothermal Reservoir Engineering Stanford University CA 1976 200–212.

10.1029/JB087iB02p01031

10.1111/j.1365-246X.1991.tb00803.x

Kruger P, 1991, Comparison of thermal cooldown estimates in the Russkie Komarovtsy petrogeothermal reservoir, Proceedings of the 16th Workshop Geothermal Reservoir Engineering, Stanford University, CA, 159

10.1016/S1365-1609(97)80071-8

10.1029/96WR03495

10.1201/9781420050066

Press WH, 1992, Numerical Recipe in Fortran, the Art of Scientific Computing

ChengAH‐D GhassemiA DetournayE.Integral equation solution of heat extraction from a fracture in hot dry rock. Boundary Element Technology XIV Brebbia CA Kassab A. (eds) Orlando Florida pp.45–54 2001.