## Numerical simulation in oil recoveryThe 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. |

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### Contents

The Double Porosity Model for Single Phase Flow in Naturally Fractured | 23 |

TwoPhase Immiscible Flow in Naturally Fractured Reservoirs | 47 |

ReactionInfiltration Instabilities | 76 |

Copyright | |

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### Common terms and phrases

active fingers algorithm analysis applied approximation aspect ratio boundary conditions Buckley-Leverett equation capillary pressure characteristic coarse grid coefficient computational concentration conservation laws constant correlation length curves Darcy's law defined dF(U diffusion dimensionless effect elliptic region estimate Figure finger growth finite difference finite element method fluid flow flux function Galerkin methods grid refinement Hele-Shaw cell heterogeneity homogeneous hyperbolic immiscible immiscible displacement incompressible initial instability interface length scale linear macroscopic Math Mathematics matrix block Mech medium megascopic method of characteristics miscible displacement miscible flood mixed finite element nonlinear numerical simulation obtained Oil Recovery parameters permeability distribution porosity porous media pressure equation procedure R.E. Ewing relative permeability Reservoir Simulation Riemann problem Saffman saturation triangle shock SIAM solution solve space spatial stability surface tension techniques Theorem transverse dispersion two-phase umbilic points variable variation velocity viscosity ratios viscous fingering waterflood Wheeler