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FINITE ELEMENT ANALYSES OF ANISOTROPIC POROELASTICITY: A GENERALIZED MANDEL'S PROBLEM AND AN INCLINED BOREHOLE PROBLEM
Author(s) -
CUI L.,
CHENG A. H. D.,
KALIAKIN V. N.,
ABOUSLEIMAN Y.,
ROEGIERS J.C.
Publication year - 1996
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/(sici)1096-9853(199606)20:6<381::aid-nag826>3.0.co;2-y
Subject(s) - poromechanics , transverse isotropy , borehole , anisotropy , finite element method , isotropy , geotechnical engineering , instability , stress (linguistics) , geology , mechanics , mathematical analysis , geometry , mathematics , physics , engineering , structural engineering , porous medium , porosity , quantum mechanics , linguistics , philosophy
The finite element equations for non‐linear, anisotropic poroelasticity are cast in the form of measurable engineering constants. Two problems of importance to the rock and petroleum industry are analysed by the FEM. First, the classical Mandel's problem with an extension to transversely isotropic case is investigated. Second, the problem of an inclined borehole is explored. In particular, the effect of material anisotropy on stress concentration near the wall with implication to borehole instability is examined in detail.