Flow in Porous Media, Softcover reprint of the original 1st ed. 1993 Proceedings of the Oberwolfach Conference, June 21-27, 1992 International Series of Numerical Mathematics Series, Vol. 114

Jim Douglas, Jr.' These proceedings reflect some of the thoughts expressed at the Oberwolfach Con­ ference on Porous Media held June 21-27, 1992, organized by Jim Douglas, Jr., Ulrich Hornung, and Cornelius J, van Duijn. Forty-five scientists attended the conference, and about thirty papers were presented. Fourteen manuscripts were submitted for the proceedings and are incorporated in this volume; they cover a number of aspects of flow and transport in porous media. Indeed, there are 223 individual references in the fourteen papers, but fewer than fifteen are cited in more than one paper. The papers appear in alphabetical order (on the basis of the first author). A brief introduction to each paper is given below. Allen and Curran consider a variety of questions related to the simulation of ground­ water contamination. Accurate water velocities are essential for acceptable results, and the authors apply mixed finite elements to the pressure equation to obtain these ve­ locities. Since fine grids are required to resolve heterogenei ties, standard iterative procedures are too slow for practical simulation; the authors introduce a parallelizable, multigrid-based it.erative scheme for the lowest order Raviart-Thomas mixed method. Contaminant transport is approximated through a finite element collocation procedure, and an alternating-direction, modified method of characteristics technique is employed to time-step the simulation. Computational experiments carried out on an nCube 2 computer.

Parallelizable Methods for Modeling Flow and Transport in Heterogeneous Porous Media.- A Multifractal Analysis of Dispersion During Miscible Flow in Porous Media.- Homogenization in a Perforated Domain Including a Thin Full Interlayer.- Indirect Determination of Hydraulic Properties of Porous Media.- Reactive Flows in Porous Media: The Reaction-Infiltration Instability.- A Study of the Effect of Inhomogeneities on Immiscible Flow in Naturally Fractured Reservoirs.- A Massively Parallel Iterative Numerical Algorithm for Immiscible Flow in Naturally Fractured Reservoirs.- Two-Dimensional Solute Transport.- Multiphase Saturation Equations, Change of Type and Inaccessible Regions.- A Central Limit Theorem for Multiscaled Permeability.- Front Tracking for the Unstable Hele-Shaw and Muskat Problems.- Regularity and Uniqueness Results for Two-Phase Miscible Flows in Porous Media.- Distributed Microstructure Models of Porous Media.- Multidimensional Degenerate Diffusion Problem with Evolutionary Boundary Condition: Existence, Uniqueness, and Approximation.