Ebook: Inverse Problems in Groundwater Modeling

... A diskette with the updated programme of Appendix C and examplesis available through the author at a small fee.
email: nezheng@ucla.edu
fax: 1--310--825--5435 ...
This book systematically discusses basic concepts, theory, solution methods and applications of inverse problems in groundwater modeling. It is the first book devoted to this subject.
The inverse problem is defined and solved in both deterministic and statistic frameworks. Various direct and indirect methods are discussed and compared. As a useful tool, the adjoint state method and its applications are given in detail. For a stochastic field, the maximum likelihood estimation and co-kriging techniques are used to estimate unknown parameters. The ill-posed problem of inverse solution is highlighted through the whole book. The importance of data collection strategy is specially emphasized. Besides the classical design criteria, the relationships between decision making, prediction, parameter identification and experimental design are considered from the point of view of extended identifiabilities. The problem of model structure identification is also considered.
This book can be used as a textbook for graduate students majoring in hydrogeology or related subjects. It is also a reference book for hydrogeologists, petroleum engineers, environmental engineers, mining engineers and applied mathematicians.

---

... A diskette with the updated programme of Appendix C and examplesis available through the author at a small fee.
email: nezheng@ucla.edu
fax: 1--310--825--5435 ...
This book systematically discusses basic concepts, theory, solution methods and applications of inverse problems in groundwater modeling. It is the first book devoted to this subject.
The inverse problem is defined and solved in both deterministic and statistic frameworks. Various direct and indirect methods are discussed and compared. As a useful tool, the adjoint state method and its applications are given in detail. For a stochastic field, the maximum likelihood estimation and co-kriging techniques are used to estimate unknown parameters. The ill-posed problem of inverse solution is highlighted through the whole book. The importance of data collection strategy is specially emphasized. Besides the classical design criteria, the relationships between decision making, prediction, parameter identification and experimental design are considered from the point of view of extended identifiabilities. The problem of model structure identification is also considered.
This book can be used as a textbook for graduate students majoring in hydrogeology or related subjects. It is also a reference book for hydrogeologists, petroleum engineers, environmental engineers, mining engineers and applied mathematicians.

---

... A diskette with the updated programme of Appendix C and examplesis available through the author at a small fee.
email: nezheng@ucla.edu
fax: 1--310--825--5435 ...
This book systematically discusses basic concepts, theory, solution methods and applications of inverse problems in groundwater modeling. It is the first book devoted to this subject.
The inverse problem is defined and solved in both deterministic and statistic frameworks. Various direct and indirect methods are discussed and compared. As a useful tool, the adjoint state method and its applications are given in detail. For a stochastic field, the maximum likelihood estimation and co-kriging techniques are used to estimate unknown parameters. The ill-posed problem of inverse solution is highlighted through the whole book. The importance of data collection strategy is specially emphasized. Besides the classical design criteria, the relationships between decision making, prediction, parameter identification and experimental design are considered from the point of view of extended identifiabilities. The problem of model structure identification is also considered.
This book can be used as a textbook for graduate students majoring in hydrogeology or related subjects. It is also a reference book for hydrogeologists, petroleum engineers, environmental engineers, mining engineers and applied mathematicians.
Content:
Front Matter....Pages i-xiii
Forward Problems in Groundwater Modeling....Pages 1-14
An Introduction to Inverse Problems....Pages 15-37
Classical Definition of Inverse Problems....Pages 39-51
Indirect Methods for the Solution of Inverse Problems....Pages 53-88
Direct Methods for the Solution of Inverse Problems....Pages 89-101
The Adjoint State Method....Pages 103-140
The Stochastic Method for Solving Inverse Problems....Pages 141-193
Experimental Design, Extended Identifiabilities and Model Structure Identification....Pages 195-248
Conclusion....Pages 249-250
Back Matter....Pages 251-338

---

... A diskette with the updated programme of Appendix C and examplesis available through the author at a small fee.
email: nezheng@ucla.edu
fax: 1--310--825--5435 ...
This book systematically discusses basic concepts, theory, solution methods and applications of inverse problems in groundwater modeling. It is the first book devoted to this subject.
The inverse problem is defined and solved in both deterministic and statistic frameworks. Various direct and indirect methods are discussed and compared. As a useful tool, the adjoint state method and its applications are given in detail. For a stochastic field, the maximum likelihood estimation and co-kriging techniques are used to estimate unknown parameters. The ill-posed problem of inverse solution is highlighted through the whole book. The importance of data collection strategy is specially emphasized. Besides the classical design criteria, the relationships between decision making, prediction, parameter identification and experimental design are considered from the point of view of extended identifiabilities. The problem of model structure identification is also considered.
This book can be used as a textbook for graduate students majoring in hydrogeology or related subjects. It is also a reference book for hydrogeologists, petroleum engineers, environmental engineers, mining engineers and applied mathematicians.
Content:
Front Matter....Pages i-xiii
Forward Problems in Groundwater Modeling....Pages 1-14
An Introduction to Inverse Problems....Pages 15-37
Classical Definition of Inverse Problems....Pages 39-51
Indirect Methods for the Solution of Inverse Problems....Pages 53-88
Direct Methods for the Solution of Inverse Problems....Pages 89-101
The Adjoint State Method....Pages 103-140
The Stochastic Method for Solving Inverse Problems....Pages 141-193
Experimental Design, Extended Identifiabilities and Model Structure Identification....Pages 195-248
Conclusion....Pages 249-250
Back Matter....Pages 251-338
....