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Finite element formulation for poroelastic problem with zero effective stress boundary condition
Author(s) -
Xu Bin,
Wong Ron C. K.
Publication year - 2009
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.774
Subject(s) - poromechanics , convergence (economics) , borehole , nonlinear system , finite element method , boundary value problem , stress (linguistics) , boundary (topology) , stability (learning theory) , hydraulic fracturing , numerical analysis , computer simulation , mathematics , geology , computer science , mechanics , geotechnical engineering , engineering , mathematical analysis , structural engineering , porous medium , porosity , physics , linguistics , philosophy , quantum mechanics , machine learning , economics , economic growth
Abstract Zero effective stress boundary condition along with constant fluid flux is commonly encountered in geotechnical applications such as uncased borehole stability, fluid injection and production at an uncased borehole, hydraulic fracturing and sand production. This complex boundary condition introduces high nonlinearity in the numerical simulation. Conventional iterative methods such as Newton–Raphson method are required to solve this nonlinear problem iteratively, which involve huge computing time and also pose numerical difficulties on the convergence. To overcome this numerical difficulty and hence reduce the computing time, a novel numerical technique is proposed in this paper. Its performance is evaluated using a numerical example simulating fluid injection around an uncased borehole. Copyright © 2009 John Wiley & Sons, Ltd.