Hunt Mathematical Analysis of Groundwater Resources

1. Auflage 2016
ISBN: 978-1-4831-0307-5
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 280 Seiten, Web PDF

Mathematical Analysis of Groundwater Resources focuses on groundwater flow. The book first discusses the scope of the study, definition of terms, and mathematical preliminaries. The text examines the equations of groundwater flow. Continuum concepts; flux and pore velocities; Darcy's Law for Anisotropic Aquifers; Conservation of Mass equations; and boundary conditions are discussed. The book also underscores the formulation of boundary-value problems. Regional problems, confined flow problems, sea water intrusion problems, and free surface flows are discussed. The text also looks at the approximate solution of boundary-value problems, inverse problems, and groundwater pollution. The book then presents the exact solutions of steady-flow problems. Problem formulations; analytic coordinate transformations; analytic functions of a complex variable; applications of the Schwarz-Christoffel transformation; and superposition of solutions are described. The text also discusses the exact solution of unsteady problems. The Laplace transform, groundwater recharge problems, well storage effect, and two well recovery problems are discussed. The book is a good source of data for researchers who are interested in groundwater flow.

Autoren/Hrsg.

Hunt, Bruce

Inhaltsverzeichnis

1;Front Cover;1
2;Mathematical Analysis of Groundwater Resources;4
3;Copyright Page;5
4;Table of Contents;8
5;Preface;6
6;Chapter 1. Introduction;10
6.1;1. The Scope of Study;10
6.2;2. Definition of Terms;12
6.3;3. Mathematical Preliminaries;15
6.4;REFERENCES;21
6.5;PROBLEMS;21
7;Chapter 2. The Equations of Groundwater Flow;23
7.1;4. Continuum Concepts;23
7.2;5. Flux and Pore Velocities;24
7.3;6. Darcy's Law;25
7.4;7. Darcy's Law for Anisotropic Aquifers;27
7.5;8. Conservation of Mass Equations;29
7.6;9. Boundary Conditions;35
7.7;REFERENCES;40
7.8;PROBLEMS;41
8;Chapter 3. The Formulation of Boundary-Value Problems;46
8.1;10. Regional Problems;46
8.2;11. A Confined Flow Problem;50
8.3;12. A Sea Water Intrusion Problem;53
8.4;13. Free Surface Flows;54
8.5;REFERENCES;56
8.6;PROBLEMS;56
9;Chapter 4. The Approximate Solution of Boundary-Value Problems;60
9.1;14. The Finite-Difference Method;60
9.2;15. Solution of the Finite-Difference Equations;67
9.3;16. Computer Coding;69
9.4;17. Computer Program Modifications;75
9.5;18. Unsteady Flow Solutions;76
9.6;19. Computer Coding;81
9.7;20. Other Numerical Techniques;85
9.8;21. Hele-Shaw Experiments;87
9.9;REFERENCES;92
9.10;PROBLEMS;92
10;Chapter 5. The Inverse Problem;98
10.1;22. Transmissivity Calculations in Steady Flow;98
10.2;23. Disturbance Speeds in Groundwater Flow;101
10.3;24. Pump Tests;106
10.4;25. Analysis of Pump Test Data;110
10.5;26. Some Additional Inverse Methods;120
10.6;REFERENCES;128
10.7;PROBLEMS;130
11;Chapter 6. Groundwater Pollution;133
11.1;27. Diffusion and Dispersion;133
11.2;28. The Dispersion Tensor;137
11.3;29. Pollution Sources in Uniform Flow;140
11.4;30. Series Expansions of the Well Function for Leaky Aquifers;145
11.5;31. Pollution Calculations in Nonuniform Flow;149
11.6;REFERENCES;156
11.7;PROBLEMS;156
12;Chapter 7. The Exact Solution of Steady-Flow Problems;162
12.1;32. Problem Formulations;162
12.2;33. Analytic Functions of a Complex Variable;168
12.3;34. Some Basic Potential Functions;174
12.4;35. Superposition of Solutions;175
12.5;36. Analytic Coordinate Transformations;181
12.6;37. The Schwarz-Christoffel Transformation;185
12.7;38. Applications of the Schwarz-Christoffel Transformation;191
12.8;39. The Inverse Velocity Hodograph;200
12.9;REFERENCES;210
12.10;PROBLEMS;212
13;Chapter 8. The Exact Solution of Unsteady Problems;220
13.1;40. The Laplace Transform;220
13.2;41. Some One-Dimensional Exanples;221
13.3;42. A Groundwater Recharge Problem;226
13.4;43. The Well Storage Effect;230
13.5;44. Two Well Recovery Problems;233
13.6;REFERENCES;237
13.7;PROBLEMS;238
14;Appendix 1: Trigonometric and Hyperbolic Functions with Complex Arguments;241
15;Appendix 2: The Numerical Calculation of Singular Integrals;244
16;Appendix 3: Worked Example Problems;249
17;Appendix 4: Notation;276
18;Index;278