Theory of Electromagnetic Well Logging provides a much-needed and complete analytical method for electromagnetic well logging technology. The book presents the physics and mathematics behind the effective measurement of rock properties using boreholes, allowing geophysicists, petrophysisists, geologists and engineers to interpret them in a more rigorous way.
Starting with the fundamental concepts, the book then moves on to the more classic subject of wireline induction logging, before exploring the subject of LWD logging, concluding with new thoughts on electromagnetic telemetry. Theory of Electromagnetic Well Logging is the only book offering an in-depth discussion of the analytical and numerical techniques needed for expert use of those new logging techniques.
1. Chapter 1. Introduction to Well Logging - p. 1 2. Chapter 2. Fundamentals of Electromagnetic Fields and Induction Logging Tools - p. 17 3. Chapter 3. Electrical Properties of Sediment Rocks: Mixing Laws and Measurement Methods - p. 51 4. Abstract - p. 51 5. 3.1 Resistivity and Dielectric Constant of Rocks - p. 51 6. 3.2 Archie’s Law - p. 55 7. 3.3 Mixing Laws - p. 55 8. 3.4 Frequency Dispersion of the Dielectric Constant - p. 64 9. 3.5 Frequency Dispersion of the Conductivity - p. 67 10. 3.6 Measurement Methods of Electrical Properties of Rocks - p. 69 11. 3.7 TM010 Resonant Cavity Technique - p. 95 12. References - p. 110 13. Appendix A E Field Analysis of the Circuit Model of the Parallel-Disk Sample Holder - p. 110 14. Appendix B Equipment Calibration Synopsis - p. 117 15. Chapter 4. Triaxial Induction and Logging-While-Drilling Resistivity Tool Response in Homogeneous Anisotropic Formations - p. 121 16. Abstract - p. 121 17. 4.1 Magnetic Dipole in Homogeneous Lossy Media - p. 122 18. 4.2 Finite Coil in Homogeneous Formation - p. 127 19. 4.3 LWD Tool Response in Homogeneous Formation - p. 127 20. 4.4 Triaxial Induction Logging Tool Response in Biaxial Anisotropic Homogeneous Formation - p. 136 21. References - p. 160 22. Appendix A Derivation of Parameters a and b in Eqs. (4.53)–(4.55) - p. 160 23. Chapter 5. Triaxial Induction Tool and Logging-While-Drilling Tool Response in a Transverse Isotropic-Layered Formation - p. 163 24. Chapter 6. Triaxial Induction and Logging-While-Drilling Logging Tool Response in a Biaxial Anisotropic-Layered Formation - p. 187 25. Chapter 7. Induction and LWD Tool Response in a Cylindrically Layered Isotropic Formation - p. 205 26. Abstract - p. 205 27. 7.1 Introduction - p. 205 28. 7.2 Induction and LWD Tool Response in a Four-Layer Cylindrical Medium - p. 206 29. 7.3 Response of Induction and LWD Tools in Arbitrary Cylindrically Layered Media - p. 217 30. 7.4 Conclusions - p. 241 31. References - p. 242 32. Appendix A Derivation for the Magnetic Fields in Spectral Domain - p. 242 33. Appendix B Derivation for the Expression of Electrical Field for the Homogeneous Formation in Spectral Domain - p. 245 34. Appendix C Derivation for the Expression of Electrical Field for Arbitrary Cylindrical Layered Formations in Spectral Domain - p. 247 35. Chapter 8. Induction and Logging-While-Drilling Resistivity Tool Response in a Two-Dimensional Isotropic Formation - p. 251 36. Chapter 9. Theory of Inversion for Triaxial Induction and Logging-While-Drilling Logging Data in One- and Two-Dimensional Formations - p. 295 37. Chapter 10. The Application of Image Theory in Geosteering - p. 351 38. Chapter 11. Ahead-of-the-Bit Tools and Far Detection Electromagnetic Tools - p. 407 39. Chapter 12. Principle of Dielectric Logging Tools - p. 447 40. Chapter 13. Finite Element Method for Solving Electrical Logging Problems in Axially Symmetrical Formations - p. 503 41. Abstract - p. 503 42. 13.1 Overview of the Numerical Simulation Methods for Well Logging Problems - p. 503 43. 13.2 Finite Element Method Based on Magnetic Field - p. 505 44. 13.3 Analysis of Transverse Electric Mode and Transverse Magnetic Mode - p. 507 45. 13.4 Vector Matrix Equation of Magnetic Field and Impedance Matrix - p. 509 46. 13.5 The Basis Functions - p. 511 47. 13.6 Evaluation of Impedance Element Matrix for Rectangular Element Based on Hϕ - p. 515 48. 13.7 Evaluation of Impedance Element Matrix for Rectangular Element Based on ρHϕ - p. 518 49. 13.8 Evaluation of Impedance Element Matrix for Triangular Element Based on Hϕ - p. 520 50. 13.9 FEM Based on Electric Field - p. 532 51. 13.10 Evaluation of Triangular Element Matrix Based on Eϕ (TE Mode) - p. 535 52. 13.11 FEM Model of Sources - p. 537 53. References - p. 545 54. Appendix A Vector Analysis in Cylindrical Coordinates - p. 545 55. Appendix B Computation Method for Matrix Assembling Rule - p. 547 56. Appendix C Computation Method of Element Matrix for Rectangular Element Based on Hϕ (Section 13.6) - p. 548 57. Appendix D Computation Method of Element Matrix for Rectangular Element Based on ρHϕ (Section 13.7) - p. 550 58. Appendix E Term 4 (Section 13.8.3.9) - p. 552 59. Appendix F Computation Method of Element Matrix for Triangular Element Based on Hϕ (Section 2.7.4) - p. 554 60. Appendix G Computation Method of Element Matrix for Triangular Element Based on Eϕ (Section 3.3) - p. 556 61. Chapter 14. Resistivity Imaging Tools - p. 559 62. Chapter 15. Laterolog Tools and Array Laterolog Tools - p. 579 63. Abstract - p. 579 64. 15.1 Introduction - p. 579 65. 15.2 Basics of Electrode Type of Logging Tools - p. 580 66. 15.3 The Laterolog Focusing Principle and the Model of Dual Laterolog Tool - p. 583 67. 15.4 Application of Finite Element Method on Alternating Current Dual Laterolog Tool - p. 590 68. 15.5 Validation of the Computational Method - p. 594 69. 15.6 Simulation Result - p. 597 70. 15.7 Array Laterolog Tool - p. 603 71. References - p. 619 72. Appendix A Computation Method of Source Model for Alternating Current Dual Laterolog Tool - p. 619 73. Chapter 16. Theory of the Through-Casing Resistivity Logging Tool - p. 625 74. Chapter 17. Electromagnetic Telemetry System and Electromagnetic Short Hop Telemetry in a Logging-While-Drilling/Measuring-While-Drilling Tool - p. 645 75. Appendix A. LogSimulator User Manual: Theory of Electromagnetic Well Logging - p. 691 76. Index - p. 703
Theory of Electromagnetic Well Logging provides a much-needed and complete analytical method for electromagnetic well logging technology. The book presents the physics and mathematics behind the effective measurement of rock properties using boreholes, allowing geophysicists, petrophysisists, geologists and engineers to interpret them in a more rigorous way.
Starting with the fundamental concepts, the book then moves on to the more classic subject of wireline induction logging, before exploring the subject of LWD logging, concluding with new thoughts on electromagnetic telemetry. Theory of Electromagnetic Well Logging is the only book offering an in-depth discussion of the analytical and numerical techniques needed for expert use of those new logging techniques.
1. Chapter 1. Introduction to Well Logging - p. 1 2. Chapter 2. Fundamentals of Electromagnetic Fields and Induction Logging Tools - p. 17 3. Chapter 3. Electrical Properties of Sediment Rocks: Mixing Laws and Measurement Methods - p. 51 4. Abstract - p. 51 5. 3.1 Resistivity and Dielectric Constant of Rocks - p. 51 6. 3.2 Archie’s Law - p. 55 7. 3.3 Mixing Laws - p. 55 8. 3.4 Frequency Dispersion of the Dielectric Constant - p. 64 9. 3.5 Frequency Dispersion of the Conductivity - p. 67 10. 3.6 Measurement Methods of Electrical Properties of Rocks - p. 69 11. 3.7 TM010 Resonant Cavity Technique - p. 95 12. References - p. 110 13. Appendix A E Field Analysis of the Circuit Model of the Parallel-Disk Sample Holder - p. 110 14. Appendix B Equipment Calibration Synopsis - p. 117 15. Chapter 4. Triaxial Induction and Logging-While-Drilling Resistivity Tool Response in Homogeneous Anisotropic Formations - p. 121 16. Abstract - p. 121 17. 4.1 Magnetic Dipole in Homogeneous Lossy Media - p. 122 18. 4.2 Finite Coil in Homogeneous Formation - p. 127 19. 4.3 LWD Tool Response in Homogeneous Formation - p. 127 20. 4.4 Triaxial Induction Logging Tool Response in Biaxial Anisotropic Homogeneous Formation - p. 136 21. References - p. 160 22. Appendix A Derivation of Parameters a and b in Eqs. (4.53)–(4.55) - p. 160 23. Chapter 5. Triaxial Induction Tool and Logging-While-Drilling Tool Response in a Transverse Isotropic-Layered Formation - p. 163 24. Chapter 6. Triaxial Induction and Logging-While-Drilling Logging Tool Response in a Biaxial Anisotropic-Layered Formation - p. 187 25. Chapter 7. Induction and LWD Tool Response in a Cylindrically Layered Isotropic Formation - p. 205 26. Abstract - p. 205 27. 7.1 Introduction - p. 205 28. 7.2 Induction and LWD Tool Response in a Four-Layer Cylindrical Medium - p. 206 29. 7.3 Response of Induction and LWD Tools in Arbitrary Cylindrically Layered Media - p. 217 30. 7.4 Conclusions - p. 241 31. References - p. 242 32. Appendix A Derivation for the Magnetic Fields in Spectral Domain - p. 242 33. Appendix B Derivation for the Expression of Electrical Field for the Homogeneous Formation in Spectral Domain - p. 245 34. Appendix C Derivation for the Expression of Electrical Field for Arbitrary Cylindrical Layered Formations in Spectral Domain - p. 247 35. Chapter 8. Induction and Logging-While-Drilling Resistivity Tool Response in a Two-Dimensional Isotropic Formation - p. 251 36. Chapter 9. Theory of Inversion for Triaxial Induction and Logging-While-Drilling Logging Data in One- and Two-Dimensional Formations - p. 295 37. Chapter 10. The Application of Image Theory in Geosteering - p. 351 38. Chapter 11. Ahead-of-the-Bit Tools and Far Detection Electromagnetic Tools - p. 407 39. Chapter 12. Principle of Dielectric Logging Tools - p. 447 40. Chapter 13. Finite Element Method for Solving Electrical Logging Problems in Axially Symmetrical Formations - p. 503 41. Abstract - p. 503 42. 13.1 Overview of the Numerical Simulation Methods for Well Logging Problems - p. 503 43. 13.2 Finite Element Method Based on Magnetic Field - p. 505 44. 13.3 Analysis of Transverse Electric Mode and Transverse Magnetic Mode - p. 507 45. 13.4 Vector Matrix Equation of Magnetic Field and Impedance Matrix - p. 509 46. 13.5 The Basis Functions - p. 511 47. 13.6 Evaluation of Impedance Element Matrix for Rectangular Element Based on Hϕ - p. 515 48. 13.7 Evaluation of Impedance Element Matrix for Rectangular Element Based on ρHϕ - p. 518 49. 13.8 Evaluation of Impedance Element Matrix for Triangular Element Based on Hϕ - p. 520 50. 13.9 FEM Based on Electric Field - p. 532 51. 13.10 Evaluation of Triangular Element Matrix Based on Eϕ (TE Mode) - p. 535 52. 13.11 FEM Model of Sources - p. 537 53. References - p. 545 54. Appendix A Vector Analysis in Cylindrical Coordinates - p. 545 55. Appendix B Computation Method for Matrix Assembling Rule - p. 547 56. Appendix C Computation Method of Element Matrix for Rectangular Element Based on Hϕ (Section 13.6) - p. 548 57. Appendix D Computation Method of Element Matrix for Rectangular Element Based on ρHϕ (Section 13.7) - p. 550 58. Appendix E Term 4 (Section 13.8.3.9) - p. 552 59. Appendix F Computation Method of Element Matrix for Triangular Element Based on Hϕ (Section 2.7.4) - p. 554 60. Appendix G Computation Method of Element Matrix for Triangular Element Based on Eϕ (Section 3.3) - p. 556 61. Chapter 14. Resistivity Imaging Tools - p. 559 62. Chapter 15. Laterolog Tools and Array Laterolog Tools - p. 579 63. Abstract - p. 579 64. 15.1 Introduction - p. 579 65. 15.2 Basics of Electrode Type of Logging Tools - p. 580 66. 15.3 The Laterolog Focusing Principle and the Model of Dual Laterolog Tool - p. 583 67. 15.4 Application of Finite Element Method on Alternating Current Dual Laterolog Tool - p. 590 68. 15.5 Validation of the Computational Method - p. 594 69. 15.6 Simulation Result - p. 597 70. 15.7 Array Laterolog Tool - p. 603 71. References - p. 619 72. Appendix A Computation Method of Source Model for Alternating Current Dual Laterolog Tool - p. 619 73. Chapter 16. Theory of the Through-Casing Resistivity Logging Tool - p. 625 74. Chapter 17. Electromagnetic Telemetry System and Electromagnetic Short Hop Telemetry in a Logging-While-Drilling/Measuring-While-Drilling Tool - p. 645 75. Appendix A. LogSimulator User Manual: Theory of Electromagnetic Well Logging - p. 691 76. Index - p. 703
