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Numerical simulation of liquefaction in porous media using nonlinear fluid flow law
Author(s) -
Taslimian Ruhhollah,
Noorzad Ali,
Maleki Javan Mohammad Reza
Publication year - 2014
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.2297
Subject(s) - biot number , darcy's law , porous medium , liquefaction , geotechnical engineering , permeability (electromagnetism) , nonlinear system , mechanics , flow (mathematics) , constitutive equation , fluid dynamics , finite element method , pore water pressure , geology , porosity , engineering , physics , structural engineering , chemistry , biochemistry , quantum mechanics , membrane
Summary It is well known that for a sufficiently high seepage velocity, the governing flow law of porous media is nonlinear ( J . Computers & Fluids 2010; 39 : 2069–2077). However, this fact has not been considered in the studies of soil‐pore fluid interaction and in conventional soil mechanics. In the present paper, a fully explicit dynamic finite element method is developed for nonlinear Darcy law. The governing equations are expressed for saturated porous media based on the extension of the Biot ( J . Appl . Phys . 1941; 12 : 155–164) formulation. The elastoplastic behavior of soil under earthquake loading is simulated using a generalized plasticity theory that is composed of a yield surface along with non‐associated flow rule. Numerical simulations of porous media subjected to horizontal and vertical components of ground motion excitations with different permeability coefficients are carried out; while computed maximum pore water pressure is specially taken into consideration to make the difference between Darcy and non‐Darcy flow regimes tangible. Finally, the effect of non‐Darcy flow on the evaluated liquefaction potential of sand in comparison to conventional Darcy law is examined. Copyright © 2014 John Wiley & Sons, Ltd.