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A hybrid Laplace‐Galerkin method for thermo‐hydro‐mechanical coupling in fluid saturated porous media: Application for borehole problems
Author(s) -
NguyenSy Tuan,
Vu MinhNgoc,
Nguyen ThoiTrung
Publication year - 2021
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.3257
Subject(s) - laplace transform , galerkin method , discretization , mathematics , finite element method , coupling (piping) , laplace's equation , inverse laplace transform , porous medium , mathematical analysis , discontinuous galerkin method , transformation (genetics) , porosity , partial differential equation , geotechnical engineering , geology , engineering , mechanical engineering , structural engineering , chemistry , biochemistry , gene
A hybrid Laplace‐Galerkin method is proposed for modeling thermo‐hydro‐mechanical coupled problems of fluid saturated porous media in unsteady state regime. It consists of transforming the weak form equations into the Laplace space where they are solved by the Galerkin finite element method. Results in time space are then obtained by the Stehfest method of inverse Laplace transformation. This technique does not require any time stepping comparing to the traditional implicit or explicit time discretization method. Its exactitude is confirmed by comparing with existent analytical results as well as the one obtained by the implicit time stepping method.