This paper deals with a computational strategy suitable for the simulation of multiphysics problems, based on the Large Time INcrement (LATIN) method. The simulation of such problems must encounter the possible different time and space scales which usually arise with the different physics. Herein, we focus on using different time and space discretizations for each physics by introducing an inte...

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...

Murine models of osteoarthritis (OA) and post-traumatic OA have been widely used to study the development and progression of these diseases using genetically engineered mouse strains along with surgical or biochemical interventions. However, due to the small size and thickness of murine cartilage, the relationship between mechanical properties, molecular structure and cartilage composition has ...

Short-term changes in the hydraulic head of surface water bodies are known to influence the shallow response of hydraulically connected groundwaters. Associated with these fluctuations is the physical increase in stream water creating a mechanical load on the ground surface. This load is supported by the geologic materials (sediment or rock) and the pore fluid contained within the pores. Change...