内容説明
This volume contains fourteen papers on mathematical problems of flow and transport through porous media presented at the conference held at Oberwolfach, June 21-27, 1992. Among the topics covered are miscible and immiscible displacement, groundwater contamination, reaction-diffusion instabilities and moving boundaries, random and fractal media, microstructure models, homogenization, spatial heterogeneties, inverse problems, degenerate equations. The papers deal with aspects of modelling, mathematical theory, numerical methods and applications in the engineering sciences.
目次
- Introduction, J. Douglas, Jr
- Parallelizable Methods for Modeling Flow and Transport in Heterogeneous Porous Media, M.B. Allen, M.C Curran
- A Multifractal Analysis of Dispersion During Miscible Flow in Porous Media, M.M. Botz, S.P.K. Sternberg, R.A. Greenkorn
- Homogenization in a Perforated Domain Including a Thin Full Interlayer, A. Bourgeat, R. Tapiero
- Indirect Determination of Hydraulic Properties of Porous Media, J.R. Cannon, P. DuChateau
- Reactive Flows in Porous Media: The Reaction-Infiltration Instability, J. Chadam
- A Study of the Effect of Inhomogeneities on Immiscible Flow in Naturally Fractured Reservoirs, J. Douglas, Jr., J.L. Hensley, P.J Paes Leme
- A Massively Parallel Iterative Numerical Algorithm for Immiscible Flow in Naturally Fractured Reservoirs, J. Douglas, Jr., P.J. Paes Leme, F. Pereira, L.-M. Yeh
- Two-Dimensional Solute Transport, A.L. Islas, D.0. Lomen
- Multiphase Saturation Equations, Change of Type and Inaccessible Regions, B. L. Keyfitz
- A Central Limit Theorem for Multiscaled Permeability, S. M. Kozlov
- Front Tracking for the Unstable Hele-Shaw and Muskat Problems, G. H. Meyer
- Regularity and Uniqueness Results for Two-Phase Miscible Flows in Porous Media, A. Mikelic
- Distributed Microstructure Models of Porous Media, R. E. Showalter
- Multidimensional Degenerate Diffusion Problem with Evolutionary Boundary Condition: Existence, Uniqueness, and Approximation, N. Su (Su Ning).
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