Preface
ix
lems with large Peclet numbers are then analyzed. The method of characteristics and the random walk method are also discussed.
Chapter 5 introduces the family of finite element methods and their variations. In the solution of three-dimensional problems, the Galerkin finite
element method, the mixed finite difference and finite element method, and
the multiple cell balance method are discussed and compared.
Chapter 6 is devoted to advection dominated problems. After a Fourier
analysis of numerical dispersion, various Eulerian, Lagrangian, and EulerianLagrangian methods are given in detail.
Chapter 7 considers how to select and build a model for a practical groundwater quality problem. Models of simulating tracer tests in different scales
are presented for the purpose of parameter identification. A coupled inverse
problem of groundwater flow and mass transport is then presented and
solved by a conjugate gradient method or a modified Gauss-Newton method. The final section of this Chapter is a short introduction to the statistic
theory of mass transport in porous media which is a rapidly developing field.
Methods of evaluating the reliability of groundwater quality models are also
included.
Chapter 8 discusses the main application fields of groundwater quality
models. Prediction of groundwater pollution in saturated and unsaturated
zones, simulation of mass transport in fractured aquifers, sea water intrusion,
optimal design for aquifer remediation, and groundwater resources management are also discussed.
At the end of the text, there is a short conclusion which lists some open
problems in this field. A FORTRAN program is given in Appendix B, which
can be used to simulate contaminant transport either in steady-state or
transient-flow fields.
The original edition of this book was written in Chinese and published by
the Geological Publishing House of China in 1989. It was translated into
English in 1991 by Mr. Fan Pengfei and Mr. Shi Dehong at the Hydrogeology
Institute, Ministry of Geology and Mineral Resources of China. The English
translation was corrected by Ms. Zhu Xiling, who was the director of the
international exchange division, the Geological Publishing House of China,
and modified by the author for teaching the course "Mathematical Modeling
of Contaminant Transport in Groundwater," in the Civil Engineering Department, University of California, Los Angeles. At that time, exercises were
added to each chapter. In 1994, the English manuscript was again revised to
include some late developments in this field.
The author wishes to express heartfelt thanks to Dr. Susan D. Pelmulder,
who read the entire manuscript and helped the author revise it for publication. The manuscript was also read, in part, by Dr. Marshall W. Davert, Dr.
William A. Moseley, Dr. Suresh Lingineni, Dr. Ming-Chin Jeng, and Dr.
Ming-Jame Horng. They suggested many improvements. The author also
wishes to thank Mrs. Cathy Jeng, secretary of the Civil Engineering Depart-
ix
lems with large Peclet numbers are then analyzed. The method of characteristics and the random walk method are also discussed.
Chapter 5 introduces the family of finite element methods and their variations. In the solution of three-dimensional problems, the Galerkin finite
element method, the mixed finite difference and finite element method, and
the multiple cell balance method are discussed and compared.
Chapter 6 is devoted to advection dominated problems. After a Fourier
analysis of numerical dispersion, various Eulerian, Lagrangian, and EulerianLagrangian methods are given in detail.
Chapter 7 considers how to select and build a model for a practical groundwater quality problem. Models of simulating tracer tests in different scales
are presented for the purpose of parameter identification. A coupled inverse
problem of groundwater flow and mass transport is then presented and
solved by a conjugate gradient method or a modified Gauss-Newton method. The final section of this Chapter is a short introduction to the statistic
theory of mass transport in porous media which is a rapidly developing field.
Methods of evaluating the reliability of groundwater quality models are also
included.
Chapter 8 discusses the main application fields of groundwater quality
models. Prediction of groundwater pollution in saturated and unsaturated
zones, simulation of mass transport in fractured aquifers, sea water intrusion,
optimal design for aquifer remediation, and groundwater resources management are also discussed.
At the end of the text, there is a short conclusion which lists some open
problems in this field. A FORTRAN program is given in Appendix B, which
can be used to simulate contaminant transport either in steady-state or
transient-flow fields.
The original edition of this book was written in Chinese and published by
the Geological Publishing House of China in 1989. It was translated into
English in 1991 by Mr. Fan Pengfei and Mr. Shi Dehong at the Hydrogeology
Institute, Ministry of Geology and Mineral Resources of China. The English
translation was corrected by Ms. Zhu Xiling, who was the director of the
international exchange division, the Geological Publishing House of China,
and modified by the author for teaching the course "Mathematical Modeling
of Contaminant Transport in Groundwater," in the Civil Engineering Department, University of California, Los Angeles. At that time, exercises were
added to each chapter. In 1994, the English manuscript was again revised to
include some late developments in this field.
The author wishes to express heartfelt thanks to Dr. Susan D. Pelmulder,
who read the entire manuscript and helped the author revise it for publication. The manuscript was also read, in part, by Dr. Marshall W. Davert, Dr.
William A. Moseley, Dr. Suresh Lingineni, Dr. Ming-Chin Jeng, and Dr.
Ming-Jame Horng. They suggested many improvements. The author also
wishes to thank Mrs. Cathy Jeng, secretary of the Civil Engineering Depart-