Transport Modeling in Hydrogeochemical Systems / Edition 1

Transport Modeling in Hydrogeochemical Systems / Edition 1

by J.David Logan
     
 

This book develops the basic ideas of transport models in hydrogeology, including diffusion-dispersion processes, advection, and adsorption or reaction. While balancing the mathematical and physical concepts, it is written in a scientific pedagogical style that is accessible to graduate students and researchers in applied mathematics, the geosciences, civil

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Overview

This book develops the basic ideas of transport models in hydrogeology, including diffusion-dispersion processes, advection, and adsorption or reaction. While balancing the mathematical and physical concepts, it is written in a scientific pedagogical style that is accessible to graduate students and researchers in applied mathematics, the geosciences, civil engineering, and other environmental sciences. The book is organized into six chapters that focus on the diffusion equation, the transport of contaminants and other solutes through porous media, the existence of traveling wave fronts in such systems, filtration theory, the kinematics and dynamics of ground water transport, and the flow and reactions in permeable rocks. Analytic methods for both elementary linear and nonlinear partial differential equations are discussed in detail. Appendices develop numerical methods for partial differential equations, including the method of lines and finite difference methods, and numerical methods for inverting Laplace transforms. Exercises are interspersed throughout the book and over one hundred and twenty references are cited. The book serves as an excellent text or supplementary reading in courses in applied mathematics, contaminant hydrology, ground water modeling, or hydrogeology.

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Product Details

ISBN-13:
9780387952765
Publisher:
Springer New York
Publication date:
09/06/2001
Series:
Interdisciplinary Applied Mathematics Series, #15
Edition description:
2001
Pages:
226
Product dimensions:
0.56(w) x 6.14(h) x 9.21(d)

Table of Contents

Preface
1The Diffusion Equation1
1.1The Diffusion Equation1
1.2Semi-Infinite Domains8
1.3Sources and Duhamel's Principle13
1.4Bounded Domains16
1.5The Maximum Principle19
2Reaction - Advection - Dispersion Equation29
2.1Mass Balance30
2.2Several Dimensions35
2.3Adsorption Kinetics37
2.4Dimensionless Equations43
2.5Nonlinear Equations44
2.6The Reaction - Advection Equation54
2.7Examples58
3Traveling Wave Solutions75
3.1Examples of Traveling Waves75
3.2Hydrogeological Models83
3.3Discontinnous Wave Fronts89
3.4Stability of Traveling waves98
3.5A Bioremediation Model107
4Filtration Models113
4.1Models for Colloid Transport114
4.2An Attachment-Detachment Model121
5Subsurface Flow Dynamics135
5.1Darcy's Law135
5.2Models of Groundwater Flow144
5.3Transient Flows152
6Transport and Reactions in Rocks163
6.1Reaction Fronts164
6.2Porosity-Mineralogy Changes, I169
6.3Porosity-Mineralogy Changes, II174
6.4General Equations of Reaction and Flow184
AThe Finite-Difference Method193
BThe Method of Lines201
CNumerical Inversion of Transforms205
D: Notation and Symbols209
References211
Index221

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