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

A. H D Cheng, A. Ghassemi, E. Detournay

Research output: Contribution to journalArticlepeer-review

136 Scopus citations


In 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.

Original languageEnglish (US)
Pages (from-to)1327-1338
Number of pages12
JournalInternational Journal for Numerical and Analytical Methods in Geomechanics
Issue number13
StatePublished - Nov 2001


  • Boundary element method
  • Heat conduction
  • Hot dry rock
  • Integral equation


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