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Finite difference techniques for modelling geothermal reservoirs
Author(s) -
Zyvoloski G. A.,
O'Sullivan M. J.,
Krol D. E.
Publication year - 1979
Publication title -
international journal for numerical and analytical methods in geomechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.419
H-Index - 91
eISSN - 1096-9853
pISSN - 0363-9061
DOI - 10.1002/nag.1610030404
Subject(s) - geothermal gradient , convergence (economics) , finite difference method , finite difference , mathematics , iterative method , mathematical optimization , newton's method , computer science , nonlinear system , geology , mathematical analysis , physics , geophysics , economics , economic growth , quantum mechanics
Two finite difference algorithms suitable for long‐time simulation of the exploitation of a two‐phase geothermal reservoir are presented. One is based on the hopscotch method proposed by Saul'yev 1 and analysed further by Gordon 2 and Gourlay. 3 The other is based on the well‐known ADI method. Both methods use a Newton–Raphson iterative technique in order to obtain accurate solutions of the non‐linear difference equations involved. Rapid convergence of the iterative schemes occurs both for single‐phase and two‐phase reservoir problems. One‐ and two‐dimensional model problems are presented.