Modeling Groundwater Flow and Pollution

1. Introduction.
- 1.1. Groundwater and Aquifers.
- 1.2. Management of Groundwater.
- 1.3. Groundwater Modeling.
- 1.4. Continuum Approach to Porous Media.
- 1.5. Horizontal Two-Dimensional Modeling of Aquifers.
- 1.6. Objectives and Scope.
- 2. Groundwater Motion.
- 2.1. Darcy's Law and its Extensions.
- 2.2. Aquifer Transmissivity.
- 2.3. Dupuit Assumption.
- 3. Modeling Three-Dimensional Flow.
- 3.1. Effective Stress in Porous Media.
- 3.2. Mass Storage.
- 3.3. Fundamental Mass Balance Equation.
- 3.4. Initial and Boundary Conditions.
- 3.5. Complete Statement of Mathematical Flow Model.
- 3.6. Modeling Soil Displacement.
- 4. Modeling Two-Dimensional Flow in Aquifers.
- 4.1. Aquifer Storativity.
- 4.2. Fundamental Continuity Equations.
- 4.3. Initial and Boundary Conditions.
- 4.4. Complete Statement of Aquifer Flow Model.
- 4.5. Regional Model for Land Subsidence.
- 4.6. Streamlines and Stream Function.
- 5. Modeling Flow in the Unsaturated Zone.
- 5.1. Capillarity and Retention Curves.
- 5.2. Motion Equations.
- 5.3. Balance Equations.
- 5.4. Initial and Boundary Conditions.
- 5.5. Complete Statement of Unsaturated Flow Model.
- 6. Modeling Groundwater Pollution.
- 6.1. Hydrodynamic Dispersion.
- 6.2. Advective, Dispersive, and Diffusive Fluxes.
- 6.3. Balance Equation for a Pollutant.
- 6.4. Initial and Boundary Conditions.
- 6.5. Complete Statement of Pollution Model.
- 6.6. Pollution Transport by Advection Only.
- 6.7. Macrodispersion.
- 7. Modeling Seawater Intrusion.
- 7.1. The Interface in a Coastal Aquifer.
- 7.2. Modeling Seawater Intrusion in a Vertical Plane.
- 7.3. Modeling Regional Seawater Intrusion.
- 8. Introduction to Numerical Methods.
- 8.1. Analytical versus Numerical Solutions.
- 8.2. Survey of Numerical Methods.
- 8.3. Computer Programming.
- 9. The Finite Difference Method.
- 9.1. Steady Flow.
- 9.2. Unsteady Flow.
- 9.3. Accuracy and Stability.
- 9.4. Generalizations.
- 10. The Finite Element Method.
- 10.1. Steady Flow.
- 10.2. Steady Flow in a Confined Aquifer.
- 10.3. Steady Flow with Infiltration and Leakage.
- 10.4. Steady Flow through a Dam.
- 10.5. Unsteady Flow in an Aquifer.
- 10.6. Generalizations.
- 11. Transport by Advection.
- 11.1. Basic Equations.
- 11.2. Semi-Analytic Solution.
- 11.3. System of Wells in an Infinite Field.
- 11.4. System of Wells in an Infinite Strip.
- 11.5. Numerical Solution in Terms of the Piezometric Head.
- 11.6. Numerical Solution in Terms of the Stream Function.
- 11.7. Tracing Particles Along a Stream Line.
- 12. Transport by Advection and Dispersion.
- 12.1. Dispersion in One-Dimensional Flow.
- 12.2. Numerical Dispersion.
- 12.3. A Finite Element Model for Two-Dimensional Problems.
- 12.4. Random Walk Model.
- 13. Numerical Modeling of Seawater Intrusion.
- 13.1. Model for Flow in a Vertical Plane.
- 13.2. Basic Equations for a Regional Model of Seawater Intrusion.
- 13.3. Finite Element Model for Regional Interface Problems.- Appendix. Solution of Linear Equations.- References.- Problems.- Index of Subjects.

`... the book will undoubtedly prove to be valuable asset to anyone using groundwater models or making decisions based on such models.'
EOS, November 1988.

`This is a book that will be of great use to teachers, researchers, and practitioners in groundwater.'
Hydrological Sciences Journal

`This is a fine book that deserves a place on the shelf of any geotechnical engineer who uses numerical mathematical modeling to analyze problems of groundwater flow and transport.'
A. Freeze in the Canadian Geotechnical Journal, Vol. 25, 1988.