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AuthorLogan, J. David. author
TitleTransport Modeling in Hydrogeochemical Systems [electronic resource] / by J. David Logan
ImprintNew York, NY : Springer New York : Imprint: Springer, 2001
Connect tohttp://dx.doi.org/10.1007/978-1-4757-3518-5
Descript XIV, 226 p. online resource

SUMMARY

The subject of this monograph lies in the joint areas of applied mathematics and hydrogeology. The goals are to introduce various mathematical techniques and ideas to applied scientists while at the same time to reveal to applied mathยญ ematicians an exciting catalog of interesting equations and examples, some of which have not undergone the rigors of mathematical analysis. Of course, there is a danger in a dual endeavor-the applied scientist may feel the mathematical models lack physical depth and the mathematician may think the mathematics is trivial. However, mathematical modeling has established itself firmly as a tool that can not only lead to greater understanding of the science, but can also be a catalyst for the advancement of science. I hope the presentation, written in the spirit of mathematical modeling, has a balance that bridges these two areas and spawns some cross-fertilization. Notwithstanding, the reader should fully understand the idea of a matheยญ matical model. In the world of reality we are often faced with describing and predicting the results of experiments. A mathematical model is a set of equaยญ tions that encapsulates reality; it is a caricature of the real physical system that aids in our understanding of real phenomena. A good model extracts the essenยญ tial features of the problem and lays out, in a simple manner, those processes and interactions that are important. By design, mathematical models should have predictive capability


CONTENT

1 The Diffusion Equation -- 2 Reactionโ{128}{148}Advectionโ{128}{148}Dispersion Equation -- 3 Traveling Wave Solutions -- 4 Filtration Models -- 5 Subsurface Flow Dynamics -- 6 Transport and Reactions in Rocks -- A The Finite-Difference Method -- B The Method of Lines -- C Numerical Inversion of Transforms -- D Notation and Symbols -- References


Earth sciences Hydrogeology Applied mathematics Engineering mathematics Environmental sciences Earth Sciences Hydrogeology Applications of Mathematics Earth Sciences general Math. Appl. in Environmental Science



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