Author | Logan, J. David. author |
---|---|

Title | Transport Modeling in Hydrogeochemical Systems [electronic resource] / by J. David Logan |

Imprint | New York, NY : Springer New York : Imprint: Springer, 2001 |

Connect to | http://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