We consider a sequential approach for the solution of an elliptic-hyperbolic system of partial differential equations, which models a flow of two incompressible phases in porous media. The elliptic equation describes the pressure distribution in the domain, and the hyperbolic equation is the mass conservation equation for one of the phases. We propose to estimate an optimal number of the pressu...

The purpose of this paper is to report the first preliminary study of the recently introduced Combinatorial Multilevel (CML) method for solver preconditioning in large-scale reservoir simulation with coupled geomechanics. The CML method is a variant of the popular Algebraic Multigrid (AMG) method yet with essential differences. The basic idea of this new approach is to construct a hierarchy of ...

This paper discusses the use of large field-scale reservoir simulation to model multiphase fluid flow processes that occur in giant oil reservoirs. The goal of large-scale studies is to model fluid flow with sufficient details to account for reservoir heterogeneity, various reservoir-wellbore configurations, and complex fluid-rock interactions. In this paper, we developed a black-oil reservoir ...