The modern biomechanical two-phase poroelastic model of bone tissue is presented. Bone tissue is treated in this model as a porous elastically deformed solid filled with a viscous newtonian fluid. Traditional one-phase biomechanical model of bone tissue, which is characterized by the Young modulus and the Poisson's coefficient, is still valid and it can be treated as an approximate model in com...

A multiphysics data analytic platform is established for imaging poroelastic interfaces of finite permeability (e.g., hydraulic fractures) from elastic waveforms and/or acoustic pore pressure measurements. This accomplished through recent advances in design non-iterative sampling methods to inverse scattering. The direct problem formulated via the Biot equations frequency domain where a network...

Coupled multiphase flow and geomechanics models are computationally costly and complex to implement. In order to take advantage of petascale and future exascale computing power, parallel domain decomposition offers an opportunity for decoupling realistic subsurface problems. The basic idea is to reduce the complexity of these multiphysics problems by applying the coupling only in those domains ...

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.

Exploiting form invariance of a class of elastic – plastic constitutive relations for drained and undrained deformation makes it possible to compare predictions for localization under these limiting conditions. Results are shown to depend strongly on poroelastic constants reflecting the compressibility of solid and fluid constituents and parameters describing inelastic volume strain and the dep...