A Semimartingale Approach For Modeling Multiphase Flow In Heterogenous Porous Media
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A Semimartingale Approach for Modeling Multiphase Flow in Heterogenous Porous Media
This paper is a follow-up to Dean and Russell's in which the formulation of a model of NAPL (Non-Aqueous Phase Liquid) flow in heterogeneous porous media is based on the traditional argument of developing a Fokker-Planck equation for a diffusion process and then modifying this equation to handle the behavior of the fluid particle at an interface between sands of different permeabilities. In this paper, an attempt is made to accomplish the same result starting with a theory of stochastic processes that allows jumps.--Authors' abstract.
A Stochastic Differential Equation Approach for Modeling of NAPL Flow in Heterogeneous Porous Media
Presents a stochastic differential equation approach to multiphase flow, a typical example of which is flow in the unsaturated domain. Specifically, a two phase problem is studied which consists of a wetting phase and a nonwetting phase. The approach given results in a nonlinear stochastic differential equation describing the position of the non-wetting phase fluid particle.
Adaptive Coarse Space Selection in the BDDC and the FETI-DP Iterative Substructuring Methods
"We propose adaptive selection of the coarse space of the BDDC and FETI-DP iterative substructuring methods by adding coarse degrees of freedom (dofs) on faces between substructures constructed using eigenvectors associated with the faces."--Authors' abstract.