MODELING OF MULTISCALE POROUS MEDIA

Multiscale modeling of chemotaxis in homogeneous porous media

[1] We present a predictive, multiscale modeling framework for chemotaxis in porous media. This model results from volume averaging the governing equations for bacterial transport at the microscale and is expressed in terms of effective medium coefficients that are predicted from the solution of the associated closure problems. As a result, the averaged chemotactic velocity is an explicit funct...

Efficient algorithms for multiscale modeling in porous media

We describe multiscale mortar mixed finite element discretizations for second order elliptic and nonlinear parabolic equations modeling Darcy flow in porous media. The continuity of flux is imposed via a mortar finite element space on a coarse grid scale, while the equations in the coarse elements (or subdomains) are discretized on a fine grid scale. We discuss the construction of multiscale mo...

Multiscale Multiphysic Mixed Geomechanical Model for Deformable Porous Media Considering the Effects of Surrounding Area

Porous media of hydro-carbon reservoirs is influenced from several scales. Effective scales of fluid phases and solid phase are different. To reduce calculations in simulating porous hydro-carbon reservoirs, each physical phenomenon should be assisted in the range of its effective scale. The simulating with fine scale in a multiple physics hydro-carbon media exceeds the current computational ca...

Multiscale Flow and Transport in Porous Media

Image Based Multiscale Modeling of Porous Biomaterials

Biomaterials are typical structures of poroelasticity in nature. Due to heterogeneous composition of microstructures, the asymptotic based homogenization was introduced to correlate the microscopic solid-fluid phase to the macroscopic balance laws. In this work, a microstructure informed computational method for modeling of porous biomaterials is developed. To construct microscopic models direc...