Homogenization of a stochastic model of a single phase flow in partially fissured media-Reference-Cited by-同舟云学术

Homogenization of a stochastic model of a single phase flow in partially fissured media

Published:2021-10-25 Issue: Volume: Page:1-38
ISSN:1875-8576
Container-title:Asymptotic Analysis
language:
Short-container-title:ASY

Author:

Emereuwa Chigoziem¹,Mohammed Mogtaba¹²

Affiliation:

1. Department of Mathematics and Applied Mathematics, University of Pretoria, Pretoria 0002, South Africa. E-mail: CAEmereuwa@tuks.co.za

2. Department of Mathematics, College of Science, Majmaah University, Zulfi 11932, Saudi Arabia. E-mail: mogtaba.m@mu.edu.sa

Abstract

In this paper, we present new homogenization results of a stochastic model for flow of a single-phase fluid through a partially fissured porous medium. The model is a double-porosity model with two flow fields, one associated with the system of fissures and the other associated with the porous system. This model is mathematically described by a system of nonlinear stochastic partial differential equations defined on perforated domain. The main tools to derive the homogenized stochastic model are the Nguetseng’s two-scale convergence, tightness of constructed probability measures, Prokhorov and Skorokhod compactness process and Minty’s monotonicity method.

Publisher

IOS Press

Subject

General Mathematics

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