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A Laplace‐transform‐based three‐dimensional BEM for poroelasticity
Author(s) -
Badmus T.,
Cheng A. HD.,
Grilli S.
Publication year - 1993
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620360105
Subject(s) - poromechanics , laplace transform , mathematics , mathematical analysis , laplace transform applied to differential equations , geology , geotechnical engineering , porous medium , porosity
This paper presents the formulation and the numerical implementation of a three‐dimensional direct boundary element method for the Biot theory of poroelasticity. To avoid the need of time‐stepping and volume integration, the solution is performed in the Laplace transform space. Solution in time is obtained via numerical inversion. Several examples, including the settlement of a rectangular footing and a modified Mandel problem, are examined.