Mathematical Analysis of Groundwater Resources

Chapter I. Introduction 1. The Scope of Study 2. Definitions of Terms 3. Mathematical PreliminariesChapter 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 ConditionsChapter III. The Formulation of Boundary-Value Problems 10. Regional Problems 11. A Confined Flow Problem 12. A Sea Water Intrusion Problem 13. Free Surface FlowsChapter 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 ExperimentsChapter 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 MethodsChapter 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 FlowChapter 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-graphChapter 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 ProblemsAppendix I. Trigonometric and Hyperbolic Functions with Complex Arguments II. The Numerical Calculation of Singular Integrals III. Worked Example Problems IV. NotationIndex