The papers of this book are based on a Symposium on Numerical Simulation in Oil Recovery held at the Institute for Mathematics and its Applications. The major research emphasis is on the modeling of fractures, heterogeneities, viscous fingering, and diffusion-dispersion effects in the flow in porous media. This volume contains seventeen comprehensive papers on the latest developments in this exciting subject. Its diverse presentation brings together the various disciplines of applied mathematics, chemical engineering, physics and hydrology.

Effective Behavior of Two-Phase Flow in Heterogeneous Reservoir.- The Double Porosity Model for Single Phase Flow in Naturally Fractured.- Two-Phase Immiscible Flow in Naturally Fractured Reservoirs.- Reaction-Infiltration Instabilities.- Characteristic Petrov-Galerkin Subdomain Methods for Convection-Diffusion Problems.- On the Simulation of Heterogeneous Petroleum Reservoirs.- A Theory of Tension at a Miscible Displacement Front.- A Random Boundary Value Problem Modeling Spatial Variability in Porous Media Flow.- Numerical Simulation of Immiscible Flow in Porous Media Based on Combining the Method of Characteristics with Mixed Finite Element Procedures.- Adaptive Grid-Refinement Techniques for Treating Singularities, Heterogeneities, and Dispersion.- An Analytic Model for Change of Type in Three-Phase Flow.- Viscous Fingering and Probabilistic Simulation.- A Marriage of Geology and Reservoir Engineering.- Vortex Methods for Porous Media Flows.- A Parametric Study of Viscous Fingering in Miscible Displacement by Numerical Simulation.- Recent Developments in Hele-Shaw Flow Modeling.- Loss of Strict Hyperbolicity of the Buckley-Leverett Equations for Three Phase Flow in a Porous Medium.