Application of Iterative Solvers in Geomechanics with Special Emphasis on Petroleum Engineering
For large 3D — finite element models, the use of iterative solvers can drastically reduce computation times compared to conventional direct solution methods. Some geotechnical applications require the simultaneous solution of unknown displacements and unknown pore pressure degrees of freedom. For these coupled problems, standard iterative solvers, which require a symmetric matrix with positive main diagonal members, cannot be used. Newly developed iterative solvers, capable to treat also coupled problems and optimized with respect to storage requirements, have been implemented into a 3D-finite element code. Their successful application to non-linear problems in rock mechanics related to petroleum engineering, which require large models (more than 80000 degrees of freedom), is described. Some limitations are discussed. Applicability in the field of civil engineering is evident.
KeywordsPore Pressure Iterative Solver Couple Analysis Krylov Subspace Method Pore Pressure Change
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