Elliptic regions in porous media flow: Effect of relative permeability on loss of strict hyperbolicity in three-phase porous media flow

Reservoir simulation is a widely used means for prediction and optimization of oil recovery from a reservoir and it is based on the multiphase porous media flow model. For one dimensional, incompressible, immiscible three-phase flow in a homogeneous medium without gravity and capillary pressure, loss of strict hyperbolicity can occur for certain...

Development of a deflation-based linear solver in reservoir simulation

Extreme and isolated eigenvalues are known to be harmful to the convergence of the iterative solver. These eigenvalues are produced by strong heterogeneity in the underlying physics. We can improve the quality of the spectrum by ‘deflating’ the harmful eigenvalues. In this thesis, deflation is applied to linear systems in reservoir simulation....

Controllability and observability in two-phase porous media flow

Reservoir simulation models are frequently used to make decisions on well locations, recovery optimization strategies etc. The success of these applications is, among other aspects, determined by the controllability and observability properties of the reservoir model. In this paper it is shown how the controllability and observability of two...

A systems description of flow through porous media

This text forms part of material taught during a course in advanced reservoir simulation at Delft University of Technology over the past 10 years. The contents have also been presented at various short courses for industrial and academic researchers interested in background knowledge needed to perform research in the area of closed-loop...

Simulation of contaminant transport in an oil-bearing stratum at water flooding

The work is aimed at development of efficient parallel algorithms for simulation of multi-phase fluid flows in porous media when one of fluids contains a contaminant. Simulation of such flows is of great practical importance because it is necessary to predict them, for example, while developing oil recovery technologies or investigating ecology...

A comparison of deflation and coarse grid correction applied to porous media flow

In this paper we compare various preconditioners for the numerical solution of partial dierential equations. We compare a coarse grid correction preconditioner used in domain decomposition methods with a so-called deflation preconditioner. We prove that the effective condition number of the de ated preconditioned system is always, i.e. for all...

Comparison of Stationary and Oscillatory Flow through Porous Media

Rapport is incomplete. Only Chapter 2: Porous Media Flow is included in the PDF. This chapter begins with a general overview of the concepts of porous flow followed by a brief review of Darcy's law, including a description of the parameters comprising this law, its upper limit of vallidity and the reasons for its failure after this limit. Next,...