Three-dimensional electromagnetics [electronic resource] : proceedings of the second international symposium / edited by Michael S. Zhdanov and Philip E. Wannamaker.
"3-D modeling and inversion is a reality, and not an illusion." This is the clear conclusion of the <IT>Second International Symposium on Three-Dimensional Electromagnetics</IT> held at the University of Utah in 1999. Containing papers submitted by 36 authors, this volume, by t...
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| Format: | Electronic Conference Proceeding eBook |
| Language: | English |
| Published: |
Amsterdam ; Boston :
Elsevier,
©2002.
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| Edition: | 1st ed. |
| Series: | Methods in geochemistry and geophysics ;
35. |
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Table of Contents:
- Front Cover; Three-Dimensional Electromagaetics; Copyright Page; CONTENTS; Preface; Part I: 3-D EM Modeling; CHAPTER 1. AN INTEGRAL EQUATION SOLUTION TO THE GEOPHYSICAL ELECTROMAGNETIC FORWARD-MODELLING PROBLEM; 1. Introduction; 2. The Integral Equation; 3. Numerical Solution
- Galerkin Approach; 4. Edge Element Basis Vectors; 5. The Green's Functions
- Part I; 6. Evaluation of the Integrals; 7. The Green's Functions
- Part II; 8. Examples; 9. Computational Efficiency; 10. Conclusions; References; CHAPTER 2. COMPRESSION IN 3-D INTEGRAL EQUATION MODELING; 1. Introduction.
- 2. Forward Modeling with 3-D Integral Equations3. Compression Matrix; 4. Compression in Three Dimensions; 5. Compression as Preconditioner to the Integral Equation; 6. The ILU Preconditioned Conjugate Gradient Method; 7. Modeling Examples; 8. Conclusions; References; CHAPTER 3. MODELLING ELECTROMAGNETIC FIELDS IN A 3D SPHERICAL EARTH USING A FAST INTEGRAL EQUATION APPROACH; 1. Introduction; 2. Governing Equations; 3. Solution Verification; 4. Concluding Remarks; Appendix A. Dyadic Green's functions of radially symmetric section; References.
- CHAPTER 4. MODELLING INDUCTION LOG RESPONSES IN 3D GEOMETRIES USING A FAST INTEGRAL EQUATION APPROACH1. Introduction; 2. Theory; 3. Computational Load; 4. Numerical Examples; 5. Concluding Remarks; References; CHAPTER 5. NONLINEAR APPROXIMATIONS FOR ELECTROMAGNETIC SCATTERING FROM ELECTRICAL AND MAGNETIC INHOMOGENEITIES; 1. Introduction; 2. Integral Equation Formulation; 3. Born Approximation; 4. Localized Approximation; 5. Quasi-Linear Approximation; 6. Quasi-Analytical Approximation; 7. Numerical Results and Validation; 8. Conclusions; Appendix A. Quasi-Analytical One-Dimensional Solution.
- 4. Numerical Results5. Conclusions; Appendix A. The Lanczos Algorithm for Skew Symmetric Matrices; References; Part II: 3-D EM Inversion; CHAPTER 8. THREE-DIMENSIONAL MAGNETOTELLURIC MODELING AND INVERSION: APPLICATION TO SUB-SALT IMAGING; 1. Introduction; 2. The 3D MT Forward Problem; 3. The 3D MT Inverse Problem; 4. Marine MT Resolution Study; 5. Conclusions; Appendix A; References; CHAPTER 9. 2-D INVERSION OF FREQUENCY-DOMAIN EM DATA CAUSED BY A 3-D SOURCE; 1. Introduction; 2. Inversion Theory; 3. Synthetic Data Example; 4. Conclusions.