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Introduction to Groundwater Modeling: Finite Difference and Finite Element Methods

TextbookOut of Print

By: Herbert F Wang and Mary P Anderson

237 pages, Figs

Academic Press

Paperback | Dec 1995 | #45912 | ISBN: 012734585X
Out of Print Details

About this book

Contains sample FORTRAN programs which demonstrate problem-solving techniques. `Very timely...The authors have succeeded in avoiding complex formulated expressions without losing mathematical consistency...This introductory textbook...will be very useful in the development of college hydrogeology courses', Groundwater Modeling Newsletter.

It can be readily understood by all newcomers to numerical methods requiring only basic mathematical techniques...Short FORTRAN-computer programs for almost every problem...is a great advantage of the book...This book is as good as a complete and very detailed university course. --JOURNAL OF GEOPHYSICS "Very timely...The authors have succeeded in avoiding complex formulated expressions without losing mathematical consistency...This introductory textbook...will be very useful in the development of college hydrogeology courses." --GROUNDWATER MODELING NEWSLETTER "A clear, concise little volume on a subject that has needed such a treatment. It provides the best introduction to date on the most important tool of groundwater hydrology, the computer model..." --CHOICE "This well-written, soft-bound book is a very good treatment of numerical methods applied to modeling ground water flow...The book will also be valuable as a reference for practitioners working in the area of ground water flow. I personally would buy the book for my own library." --WATER RESOURCES BULLETIN


Contents

Introduction: Models. Physics of Groundwater Flow. Laplaces Equation. Regional Groundwater Flow System. Finite Differences: Steady State Flow (Laplaces Equation): Differences for Derivatives. Iterative Methods. Gauss Seidel Computer Program. Boundary Conditions. Finite Differences: Steady State Flow (Poissons Equation): Poissons Equation. Island Recharge. Finite Difference Models. Unconfined Aquifer with Dupuit Assumptions. Validity of a Numerical Solution. Finite Differences: Transient Flow: Transient Flow Equation. Explicit Finite Difference Approximation. Implicit Finite Difference Approximation. Unconfined Aquifer with Dupuit Assumptions. Other Solution Methods. Matrix Notation. Tridiagonal Matrices. Alternating Direction Implicit (ADI) Method. Prickett Lonnquist and Trescott Pinder Larson Models. Calibration and Verification. Finite Elements: Steady-State Flow: Galerkins Method. Triangular Elements. Assembly of ConductanceMatrix. Boundary Conditions. Finite Element Computer Program. Region-Near-a-Well Example. Seepage through a Dam. Poissons Equation. Finite Elements: Transient Flow: Galerkins Method. Rectangular Element. Assembly of Matrix Differential Equation. Solving the Matrix Differential Equation. Computer Program for Reservoir Problem. Advective Dispersive Transport: Dispersion. Solute Transport Equation. Finite Element Example: Solute Dispersion in Uniform Flow Field. Concluding Remarks. Appendixes: Anisotropy and Tensors. Variational Method. Isoparametric Quadrilateral Elements. Analogies. Glossary of Symbols. References. Index.

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