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Flow in Porous Media
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 ...
Homogenization and Porous Media
This book offers a systematic, rigorous treatment of upscaling procedures related to physical modeling for porous media on micro-, meso- and macro-scales, including detailed studies of micro-structure systems and computational results for dual-porosity models.
Mathematical Modeling for Flow and Transport Through Porous Media
The main aim of this paper is to present some new and general results, ap plicable to the the equations of two phase flow, as formulated in geothermal reservoir engineering. Two phase regions are important in many geothermal reservoirs, especially at depths of order several hundred metres, where ris ing, essentially isothermal single phase liquid first begins to boil. The fluid then continues to rise, with its temperature and pressure closely following the saturation (boiling) curve appropriate to the fluid composition. Perhaps the two most interesting theoretical aspects of the (idealised) two phase flow equations in geothermal reservoir engineering are that firstly, only one component (wat...
Inverse Problems
The present volume contains manuscripts of lectures or topics related to the lectures which were given at the conference on "Inverse Problems" at the mathematical Research Institute at Oberwolfach. The conference took place during the week of May 18-24, 1986, and was managed by the editors. Recalling Professor Joseph Keller's paper entitled Inverse Problems, American Mathematical Monthly, 83 (1976), we give two direct quotes. "We call two problems inverses of one another if the formulation of each involves all or part of the solution of the other. Often, for historical reasons, one of the two problems has been studied extensively for some time, while the other is newer and not so well unders...
Optimal Control of Soil Venting: Mathematical Modeling and Applications
A description of the latest and most appropriate mathematical and numerical methods for optimizing soil venting. The monograph considers mathematical, numerical, and technical aspects as well as their practical significance. This book will be of interest to applied mathematicians, geophysicists, geoecologists, soil physicists, and environmental engineers.
Environmental Studies
Environmental protection has become a universal issue with world-wide support. Environmental studies have now bridged the realms of academic research and societal applications. Mathematical modeling and large-scale data collection and analysis lie at the core of all environmental studies. Unfortunately, scientists, mathematicians, and engineers immersed in developing and applying environmental models, computational methods, statistical techniques and computational hardware advance with separate and often discordant paces. The volume is based on recent research designed to provide a much needed interdisciplinary forum for joint exploration of recent advances in this field.
Flow And Transport In Porous Media - Proceedings Of The Summer School
Contents:Mathematical Modelling of Saturated and Unsaturated Groundwater Flow (B H Gilding)Applications of the Homogenization Method to Flow and Transport in Porous Media (U Hornung)Finite-Element-Approximation of Solute Transport in Porous Media with General Adsorption Processes (P Knabner)Free Boundary Problems in Fresh-Salt Goundwater Flow (C J van Duijn) Readership: Applied mathematicians and engineers. Keywords:Porous Media Equation;Diffusion Equation;Transport Equation;Infiltration Equation;Partial Differential Equation(PDE);Degenerate Parabolic Equation;Nonlinear PDE;Multiphase Flow in Porous Media;Nonlinear Diffusion;Reactive Solutes;Adsorption;Fresh and Salt Groundwater Flow;Homogenisation;Nonlinear Partial Differential Equations
Composite Media and Homogenization Theory
This volume contains the Proceedings of the Workshop on Composite Media and Homogenization Theory held in Trieste, Italy, from January 15 to 26, 1990. The workshop was organized by the International Centre for Theo retical Physics (ICTP); part of the activity was co-sponsored by the Interna tional School for Advanced Studies (SISSA). The workshop covered a broad range of topics in the mathematical the ory of composite materials and homogenization. Among the specific areas of focus were homogenization of periodic and nonperiodic structures, porous me dia, asymptotic analysis for linear and nonlinear problems, optimal bounds for effective moduli, waves in composite materials, optimal design an...
Finite Elements in Water Resources
These proceedings contain the papers presented at the Fourth International Conference on Finite Elements in Water Resources, held in June, 1982, at the University of Hannover, Federal Re public of Germany. This Conference continued the successful series of previous conferences held at Princeton University in 1976, at Imperial College in 1978, and at the University of Mississippi in 1980. Since Finite Elements have proved to be a powerful means for analysing water resource problems, the principal objective of the Conference was to provide an exchange of experiences in practical applications of the finite element method and to establish a forum for discussion regarding accuracy, economy, limit...
