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. |
Contents
The Double Porosity Model for Single Phase Flow in Naturally Fractured | 23 |
TwoPhase Immiscible Flow in Naturally Fractured Reservoirs | 47 |
ReactionInfiltration Instabilities | 76 |
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Common terms and phrases
active fingers algorithm analysis approximation aspect ratio boundary conditions Buckley-Leverett equation characteristic coarse grid coefficient computational concentration conservation laws constant correlation length curves Darcy's law defined dF(U diffusion dimensionless discontinuity effect elliptic region estimate Figure finger growth finite difference finite element method fluid flow flux function Galerkin methods growth rate Hele-Shaw cell heterogeneous homogenized immiscible immiscible displacement incompressible initial instability interface length scale linear macroscopic Marchesin Math Mathematics matrix blocks 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 permeabilities Reservoir Simulation Riemann problem Saffman shock SIAM solution solve space spatial stability surface tension techniques Theorem transverse dispersion two-phase umbilic point variable variation velocity viscosity viscosity ratios viscous fingering vorticity waterflood Wheeler X₁