ELEMENT-FREE GALERKIN METHOD FOR DEFORMING MULTIPHASE POROUS-MEDIA

In the proposed element-free Galerkin method for deforming multiphase porous media, displacement of the porous-solid skeleton is modelled by standard finite elements while wetting and non-wetting fluid pore pre ssures are included as element-free nodes. The matrix formulation is d erived from the variational formulation of the multiphase governing eq uations. The case of a domain with a material or held discontinuity is handled by using Lagrange multipliers. One-and two-dimensional applic ations are presented for which the results, compared with those obtain ed by either the closed-form solution standard finite-element approach or experimental tests, show the efficiency of the proposed technique. The necessity of taking air pore pressure into account for partially saturated soils is discussed: free surface capturing is analysed and t he problem of its intersection with outer boundaries (so-called seepag e surface) is studied. (C) 1998 John Wiley & Sons, Ltd.