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Finite Element Analysis of Geothermal Circulation Processes in Hot Dry Rock Fractures
Author(s) -
Diersch H.J.,
Kolditz O.,
Jesse J.
Publication year - 1989
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19890690313
Subject(s) - buoyancy , geothermal gradient , finite element method , heat transfer , mechanics , nonlinear system , contraction (grammar) , thermal , geology , rock mass classification , mass transfer , geotechnical engineering , thermodynamics , geophysics , physics , medicine , quantum mechanics
An appropriate finite element model is developed for the simulation of mass and heat transfer in artificial fractures of deep hot dry rock masses involving fluid buoyancy and thermal rock contraction effects. The strongly nonlinear unsteady geothermal processes are solved by an implicit predictor‐corrector method with automatically adjusted time stepping and a full Newton approach. Alternative schemes are used for steady state problems. Computational examples are presented illustrating the effect of heat removal, density coupling and rock contraction. The results obtained are compared with previous findings and analytical solutions if exist.