Multiphase flow in heterogeneous porous media from a stochastic differential geometry viewpoint

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...

A stochastic heterogeneous multiscale method for porous media flow

A new multiscale algorithm is introduced based on the framework of the heterogeneous multiscale method. The mixed finite element method used ensures continuity of the flux within the entire domain. This method is shown to be free of “resonance error” and uses less memory than the mixed multiscale finite element method. To account for the highstochastic dimensionality of the permeability field, ...

Flow in porous media pore-network models and multiphase flow

In the last 3 years there has been a huge increase in the use of pore-scale modeling to study multiphase flow and transport in porous media. Starting from single pore models of fluid arrangements, computations of relative permeability, interfacial area, dissolution rate and many other physical properties have been made. Combined with a realistic description of the pore space, predictive modelin...

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

Transient Fluid Flow in Heterogeneous Porous Media

A stable Alternating Direction Implicit finite-difference algorithm is used to model transient fiuid flow in heterogeneous porous media. In connection with the laboratory system for pressure transient testing of core permeability, the effects of permeability heterogeneities on the characteristics of the pressure transient were investigated. The results show that the early portion of the pressur...