System of equations and staggered solution algorithm for immiscible two-phase flow coupled with linear poromechanics

TL;DR

This paper presents a coupled system of equations for immiscible two-phase flow in deformable porous media and introduces a staggered solution algorithm to efficiently solve the coupled system.

Contribution

It formulates the coupled equations for water-oil flow and poromechanics and proposes a novel staggered solution algorithm for this complex system.

Findings

Successful formulation of coupled flow and poromechanics equations

Development of a staggered solution algorithm for the system

Potential for improved simulation of multiphase flow in deformable media

Abstract

This document is a presentation of the equations of simultaneous water and oil flow in deformable porous medium and linear poromechanics as well as the staggered solution algorithm to solve the coupled system of equations.