DYNAMICS OF PARTIALLY SATURATED POROELASTIC SOLIDS BY BOUNDARY-ELEMENT METHOD

Boundary Element Method for Wave Propagation in Partially Saturated Poroelastic Continua

Wave propagation in partially saturated porous continua is an interesting subject in Civil Engineering, Petroleum Engineering, Bioengineering, Earthquake Engineering, and Geophysics, etc. For such problems, there exist different theories, e.g., an extension of Biot’s theory, the Theory of Porous Media and the Mixture theory. Based on the Mixture theory, a dynamic three–phase model for partially...

Partially Saturated Flow in a Poroelastic Medium

The formulation and existence theory is presented for a system modeling diffusion of a slightly compressible fluid through a partially saturated poroelastic medium. Nonlinear effects of density, saturation, porosity and permeability variations with pressure are included, and the seepage surface is determined by a variational inequality on the boundary.

Analysis of thin piezoelectric solids by the boundary element method

The piezoelectric boundary integral equation (BIE) formulation is applied to analyze thin piezoelectric solids, such as thin piezoelectric films and coatings, using the boundary element method (BEM). The nearly singular integrals existing in the piezoelectric BIE as applied to thin piezoelectric solids are addressed for the 2-D case. An efficient analytical method to deal with the nearly singul...

Application of the Boundary Element Method to two Dimensional Dynamic Problems of Saturated Porous Media

Partially Saturated Flow in a Composite Poroelastic Medium

(Preliminary Report.) The model formulation and existence theory is described for diffusion of a barotropic fluid through a partially saturated poroelastic composite medium consisting of two components. This includes the Barenblatt-Biot doublediffusion model of elastic deformation and laminar flow in a fissured medium, such as consolidation processes in a system of fissures distributed througho...