Material coefficients of multiphase thermoporoelasticity for anisotropic micro-heterogeneous porous media

Effects of Material Symmetry on the Coefficients of Transport in Anisotropic Porous Media

The objective of this article is to highlight certain features of a number of coefficients that appear in models of phenomena of transport in anisotropic porous media, especially the coefficient of dispersion, the 2nd rank tensor Dij , and the dispersivity coefficient, the 4th rank tensor aijkl , that appear in models of solute transport. Although we shall focus on the transport of mass of a di...

Modeling Fluid Flow in Heterogeneous and Anisotropic Porous Media

Permeability distribution in reservoirs is very important for the flow ofwater or oil and gas. In this study, the effects of various heterogeneous permeability distributions on the flow field are simulated using the finite difference technique. We have simulated the flow for two types of heterogeneous distributions, one is Gaussian and the other is self-similar or fractal, the latter being much...

Algebraic Dynamic Multilevel (ADM) Method for Immiscible Multiphase Flow in Heterogeneous Porous Media with Capillarity

Stochastic Finite Element Analysis for Multiphase Flow in Heterogeneous Porous Media

This study is concerned with developing a two-dimensional multiphase model that simulates the movement of NAPL in heterogeneous aquifers. Heterogeneity is dealt with in a probabilistic sense by modeling the intrinsic permeability of the porous medium as a stochastic process. The deterministic nite element method is used to spatially discretize the multiphase ow equations. The intrinsic permeabi...

Comparison of DDFV and DG methods for flow in anisotropic heterogeneous porous media

Comparison of DDFV and DG methods for flow in anisotropic heterogeneous porous media — We present a preliminary work to simulate gas injection in deep aquifers. Unsteady single-phase flows are considered. We compare Discrete Duality Finite Volume (DDFV) and Discontinuous Galerkin (DG) schemes applied to discretize the diffusive term. The second-order Backward Differentiation Formula is used for...