Foundations of Geophysical Electromagnetic Theory and Methods, Third Edition provides a comprehensive treatment of electromagnetic (EM) theory and its applications in geophysics. This updated edition incorporates more than a decade of advances in theoretical developments, numerical modeling, and practical EM surveying while maintaining the clarity and rigor of previous editions. The book begins with an introduction to field theory, including the differential calculus of vector fields and foundational principles underlying classical electromagnetic formulations. It then reviews the core elements of EM theory, covering Maxwell’s equations, models of EM induction in the Earth, and the behavior of electromagnetic fields in heterogeneous media.
Subsequent chapters address the inversion and imaging of EM data, discussing the theory of ill-posed inverse problems, regularization strategies, electromagnetic inversion methodologies, and migration techniques used to construct subsurface images. The volume then turns to applied geophysical methods, examining the electromagnetic properties of rocks and minerals, the generation and measurement of EM fields, and survey techniques across a range of domains, including direct current, induced polarization, natural-field EM, controlled-source EM, and marine and airborne EM methods. A set of case studies illustrates the practical use of EM methods in geophysics, including mineral and energy resource exploration.
1. Introduction - p. xxv 2. Part 1: Introduction to field theory - p. P1 3. Chapter 1: Differential calculus of vector fields and differential forms - p. 3 4. Chapter 2: Foundations of field theory - p. 25 5. Part 2: Foundations of electromagnetic theory - p. P2 6. Chapter 3: Electromagnetic field equations - p. 55 7. Chapter 4: Models of electromagnetic induction in the Earth - p. 89 8. Chapter 5: Electromagnetic fields in horizontally stratified media - p. 129 9. Chapter 6: Electromagnetic fields in inhomogeneous media - p. 193 10. Part 3: Inversion and imaging of electromagnetic field data - p. P3 11. Chapter 7: Principles of ill-posed inverse problem solution - p. 257 12. Chapter 8: Electromagnetic inversion - p. 275 13. Chapter 9: Electromagnetic migration - p. 303 14. Part 4: Geophysical electromagnetic methods - p. P4 15. Chapter 10: Electromagnetic properties of rocks and minerals - p. 337 16. Chapter 11: Generation and measurement of electromagnetic fields in geophysical applications - p. 383 17. Chapter 12: Direct current and induced polarization methods - p. 421 18. Chapter 13: Magnetotelluric and magnetovariational methods - p. 475 19. Chapter 14: Electromagnetic methods in the frequency and time domains - p. 567 20. Chapter 15: Marine electromagnetic methods - p. 609 21. Chapter 16: Airborne electromagnetic methods - p. 645 22. Chapter 17: Case histories - p. 679 23. Appendix A: Algebra of differential forms - p. 721 24. Appendix B: Calculus of differential forms - p. 733 25. Appendix C: Linear operators and their matrices - p. 743 26. Appendix D: Mathematical notations - p. 747 27. Appendix E: Definition of fields and units - p. 749 28. Bibliography - p. 751 29. Index - p. 775
Foundations of Geophysical Electromagnetic Theory and Methods, Third Edition provides a comprehensive treatment of electromagnetic (EM) theory and its applications in geophysics. This updated edition incorporates more than a decade of advances in theoretical developments, numerical modeling, and practical EM surveying while maintaining the clarity and rigor of previous editions. The book begins with an introduction to field theory, including the differential calculus of vector fields and foundational principles underlying classical electromagnetic formulations. It then reviews the core elements of EM theory, covering Maxwell’s equations, models of EM induction in the Earth, and the behavior of electromagnetic fields in heterogeneous media.
Subsequent chapters address the inversion and imaging of EM data, discussing the theory of ill-posed inverse problems, regularization strategies, electromagnetic inversion methodologies, and migration techniques used to construct subsurface images. The volume then turns to applied geophysical methods, examining the electromagnetic properties of rocks and minerals, the generation and measurement of EM fields, and survey techniques across a range of domains, including direct current, induced polarization, natural-field EM, controlled-source EM, and marine and airborne EM methods. A set of case studies illustrates the practical use of EM methods in geophysics, including mineral and energy resource exploration.
1. Introduction - p. xxv 2. Part 1: Introduction to field theory - p. P1 3. Chapter 1: Differential calculus of vector fields and differential forms - p. 3 4. Chapter 2: Foundations of field theory - p. 25 5. Part 2: Foundations of electromagnetic theory - p. P2 6. Chapter 3: Electromagnetic field equations - p. 55 7. Chapter 4: Models of electromagnetic induction in the Earth - p. 89 8. Chapter 5: Electromagnetic fields in horizontally stratified media - p. 129 9. Chapter 6: Electromagnetic fields in inhomogeneous media - p. 193 10. Part 3: Inversion and imaging of electromagnetic field data - p. P3 11. Chapter 7: Principles of ill-posed inverse problem solution - p. 257 12. Chapter 8: Electromagnetic inversion - p. 275 13. Chapter 9: Electromagnetic migration - p. 303 14. Part 4: Geophysical electromagnetic methods - p. P4 15. Chapter 10: Electromagnetic properties of rocks and minerals - p. 337 16. Chapter 11: Generation and measurement of electromagnetic fields in geophysical applications - p. 383 17. Chapter 12: Direct current and induced polarization methods - p. 421 18. Chapter 13: Magnetotelluric and magnetovariational methods - p. 475 19. Chapter 14: Electromagnetic methods in the frequency and time domains - p. 567 20. Chapter 15: Marine electromagnetic methods - p. 609 21. Chapter 16: Airborne electromagnetic methods - p. 645 22. Chapter 17: Case histories - p. 679 23. Appendix A: Algebra of differential forms - p. 721 24. Appendix B: Calculus of differential forms - p. 733 25. Appendix C: Linear operators and their matrices - p. 743 26. Appendix D: Mathematical notations - p. 747 27. Appendix E: Definition of fields and units - p. 749 28. Bibliography - p. 751 29. Index - p. 775
