Principles of Dielectric Logging Theory covers the theory of dielectric logging - from first principles to development of new tools - for those involved in the design, development and interpretation of dielectric logging. Dielectric logging has recently experienced a revival in the oil and gas industry and is now considered a preferred method for estimating the saturation of reservoirs. Topics covered in this book include the use of dielectric tools in different types of fields, interpretation methods, the Maxwell phenomena, and how to develop new dielectric tools for future use. Users will find this book includes enough detail that newcomers, seasoned professionals and researchers find it useful.
1. Introduction - p. iii 2. 3.1 Polarization vector and susceptibility - p. iii 3. 3.2 Relation between potential of the secondary field and vector P - p. iii 4. 3.3 Bound charges - p. iii 5. 3.4 System of equations of electric field in the presence of dielectrics - p. iii 6. 3.5 The vector of electric induction D and dielectric permittivity ε - p. iii 7. 3.6 Distribution of bound charges - p. iii 8. 3.7 System of equations for the potential in a dielectric - p. iii 9. 3.8 The potential and field in the presence of a spherical dielectric - p. iii 10. 3.9 Mosotti–Clausius equation - p. iii 11. 3.10 Prolate spheroid in a uniform field - p. iii 12. 3.11 Oblate spheroid in a uniform field - p. iii 13. 3.12 Ellipsoid in a uniform field - p. iii 14. 3.13 Electric energy of a system of charges - p. iii 15. 3.14 Dielectric in a stationary field - p. iii 16. 3.15 Effective dielectric permittivity and Maxwell approach - p. iii 17. References - p. iii 18. Chapter 4. Dielectric in a time-varying field - p. iii 19. Chapter 5. Maxwell phenomenon - p. iii 20. Abstract - p. iii 21. 5.1 Displacement current - p. iii 22. 5.2 Distribution of volume and surface charges - p. iii 23. 5.3 Maxwell phenomenon - p. iii 24. 5.4 Maxwell theory for a layered dielectric inside a capacitor - p. iii 25. 5.5 Equation for the voltage when the dielectric consists of two layers - p. iii 26. 5.6 Equation for the current when the dielectric consists of two layers - p. iii 27. 5.7 The field caused by the interface charges - p. iii 28. 5.8 The voltage and current in layers when the voltage between the capacitor plates is independent on time - p. iii 29. 5.9 Frequency domain - p. iii 30. 5.10 Complex dielectric permittivity and Maxwell phenomena - p. iii 31. 5.11 Principle of energy conservation (Poynting theorem) - p. iii 32. 5.12 Vortex part of electric field inside the capacitor - p. iii 33. 5.13 Magnetic part of the energy - p. iii 34. References - p. iii 35. Chapter 6. Effective dielectric permittivity - p. iii 36. Chapter 7. Development of dielectric logging - p. iii 37. Appendix A. The solid angle - p. iii 38. Appendix B. Interaction of currents, Biot–Savart law, and magnetic field - p. iii 39. Appendix C. Faraday law - p. iii 40. Appendix D. Electromagnetic field equations - p. iii 41. Index - p. iii
Principles of Dielectric Logging Theory covers the theory of dielectric logging - from first principles to development of new tools - for those involved in the design, development and interpretation of dielectric logging. Dielectric logging has recently experienced a revival in the oil and gas industry and is now considered a preferred method for estimating the saturation of reservoirs. Topics covered in this book include the use of dielectric tools in different types of fields, interpretation methods, the Maxwell phenomena, and how to develop new dielectric tools for future use. Users will find this book includes enough detail that newcomers, seasoned professionals and researchers find it useful.
1. Introduction - p. iii 2. 3.1 Polarization vector and susceptibility - p. iii 3. 3.2 Relation between potential of the secondary field and vector P - p. iii 4. 3.3 Bound charges - p. iii 5. 3.4 System of equations of electric field in the presence of dielectrics - p. iii 6. 3.5 The vector of electric induction D and dielectric permittivity ε - p. iii 7. 3.6 Distribution of bound charges - p. iii 8. 3.7 System of equations for the potential in a dielectric - p. iii 9. 3.8 The potential and field in the presence of a spherical dielectric - p. iii 10. 3.9 Mosotti–Clausius equation - p. iii 11. 3.10 Prolate spheroid in a uniform field - p. iii 12. 3.11 Oblate spheroid in a uniform field - p. iii 13. 3.12 Ellipsoid in a uniform field - p. iii 14. 3.13 Electric energy of a system of charges - p. iii 15. 3.14 Dielectric in a stationary field - p. iii 16. 3.15 Effective dielectric permittivity and Maxwell approach - p. iii 17. References - p. iii 18. Chapter 4. Dielectric in a time-varying field - p. iii 19. Chapter 5. Maxwell phenomenon - p. iii 20. Abstract - p. iii 21. 5.1 Displacement current - p. iii 22. 5.2 Distribution of volume and surface charges - p. iii 23. 5.3 Maxwell phenomenon - p. iii 24. 5.4 Maxwell theory for a layered dielectric inside a capacitor - p. iii 25. 5.5 Equation for the voltage when the dielectric consists of two layers - p. iii 26. 5.6 Equation for the current when the dielectric consists of two layers - p. iii 27. 5.7 The field caused by the interface charges - p. iii 28. 5.8 The voltage and current in layers when the voltage between the capacitor plates is independent on time - p. iii 29. 5.9 Frequency domain - p. iii 30. 5.10 Complex dielectric permittivity and Maxwell phenomena - p. iii 31. 5.11 Principle of energy conservation (Poynting theorem) - p. iii 32. 5.12 Vortex part of electric field inside the capacitor - p. iii 33. 5.13 Magnetic part of the energy - p. iii 34. References - p. iii 35. Chapter 6. Effective dielectric permittivity - p. iii 36. Chapter 7. Development of dielectric logging - p. iii 37. Appendix A. The solid angle - p. iii 38. Appendix B. Interaction of currents, Biot–Savart law, and magnetic field - p. iii 39. Appendix C. Faraday law - p. iii 40. Appendix D. Electromagnetic field equations - p. iii 41. Index - p. iii
