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No more than about 10 years ago, it seemed to be unrealistic to
simulate the com plex flow, transport, and transformation processes
of organic compounds in multi-phase systems of water-unsaturated
soils (Schwille Sch84]). Numerical solutions of compre hensive
models consisting, for instance, of a system of three partial
differential equations and chemical reactions based on local
thermodynamic equilibrium assumption (Abriola and Pinder AP85a]),
were at that time regarded as far too computational expensive;
optimizations seemed to be by far not practicable using such
numerical models. How ever, even more complex mathematical models
have been developed since then, like, for example, by considering
the temperature-dependency of processes and non-equilibrium
phase-transfers, or the increase of the number of components and
spatial dimensions in volved (e. g., Bear and Nitao BN92]). Those
models require efficient numerical solution algorithms adopted to
the possibilities of the latest computer developments. The book
describes the work of a three years research project funded by the
The Federal Ministry for Education, Science, Research and
Technology (BMBF), Grant Number 03-H07BWM. The idea for the project
was developed by Prof. Dr. Ulrich Hornung, Dr. Dirk Stegemann, and
Dr. Horst H. Gerke in late 1992 after intensive discussions about
the BMBF-opened program (Die anwendungsorientierte Verbundprojekte
auf dem Ge biet der Mathematik des Bundesministerium fur Bildung,
WissenschaJt, Forschung und Technologie) on applied mathematics in
industrial areas. Dr. Stegemann worked at that time for the company
GEO-data, Garbsen near Hannover."
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.
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