Mathematical Analysis of Groundwater Resources

Mathematical Analysis of Groundwater Resources

1st Edition - October 12, 1983

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  • Author: Bruce Hunt
  • eBook ISBN: 9781483103075

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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.

Table of Contents

  • Chapter I. Introduction

    1. The Scope of Study

    2. Definitions of Terms

    3. Mathematical Preliminaries

    Chapter II. The Equations of Groundwater Flow

    4. Continuum Concepts

    5. Flux and Pore Velocities

    6. Darcy's Law

    7. Darcy's Law for Anisotropic Aquifers

    8. Conservation of Mass Equations

    9. Boundary Conditions

    Chapter III. The Formulation of Boundary-Value Problems

    10. Regional Problems

    11. A Confined Flow Problem

    12. A Sea Water Intrusion Problem

    13. Free Surface Flows

    Chapter IV. The Approximate Solution of Boundary-Value Problems

    14. The Finite-Difference Method

    15. Solution of the Finite-Difference Equations

    16. Computer Coding

    17. Computer Program Modifications

    18. Unsteady Flow Solutions

    19. Computer Coding

    20. Other Numerical Techniques

    21. Hele-Shaw Experiments

    Chapter V. The Inverse Problem

    22. Transmissivity Calculations in Steady Flow

    23. Disturbance Speeds in Groundwater Flow

    24. Pump Tests

    25. Analysis of Pump Test Data

    26. Some Additional Inverse Methods

    Chapter VI. Groundwater Pollution

    27. Diffusion and Dispersion

    28. The Dispersion Tensor

    29. Pollution Sources in Uniform Flow

    30. Series Expansions of the Well Function for Leaky Aquifers

    31. Pollution Calculations in Non-Uniform Flow

    Chapter VII. The Exact Solution of Steady-Flow Problems

    32. Problem Formulations

    33. Analytic Functions of a Complex Variable

    34. Some Basic Potential Functions

    35. Superposition of Solutions

    36. Analytic Coordinate Transformations

    37. The Schwarz-Christoffel Transformation

    38. Applications of the Schwarz-Christoffel Transformation

    39. The Inverse Velocity Hydro-graph

    Chapter VIII. The Exact Solution of Unsteady Problems

    40. The Laplace Transform

    41. Some One-Dimensional Examples

    42. A Groundwater Recharge Problem

    43. The Well Storage Effect

    44. Two Well Recovery Problems


    I. Trigonometric and Hyperbolic Functions with Complex Arguments

    II. The Numerical Calculation of Singular Integrals

    III. Worked Example Problems

    IV. Notation


Product details

  • No. of pages: 280
  • Language: English
  • Copyright: © Butterworth-Heinemann 1983
  • Published: October 12, 1983
  • Imprint: Butterworth-Heinemann
  • eBook ISBN: 9781483103075

About the Author

Bruce Hunt

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