Principles of dielectric logging theory /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Kaufman, Alex
Otros Autores: Donadille, Jean-Marc
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Amsterdam : Elsevier, 2021.
Temas:
Dielectric measurements.
Mesures di�electriques.
Dielectric measurements
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Front cover
  • Half title
  • Full title
  • Copyright
  • Dedication
  • Contents
  • Preface
  • Part I
  • Time-invariant electric field
  • Chapter 1
  • The electric field of static charges
  • 1.1 Interaction of electric charges and Coulomb's law
  • 1.2 The electric field
  • 1.3 Surface density of charges
  • 1.4 Voltage of the electric field
  • 1.4.1 Independence of voltage on a path of integration
  • 1.4.2 The voltage along a closed path
  • 1.4.3 The first equation of the field
  • 1.5 The second equation of the electric field
  • 1.5.1 Flux of the electric field
  • 1.5.2 The second equation of the electric field in integral form
  • 1.5.3 The second equation of the electric field in differential form
  • 1.6 Potential of the electric field
  • 1.6.1 Relation between the voltage and the potential
  • 1.6.2 Relation between potential and charges
  • 1.6.3 Poisson and Laplace equations for the potential
  • 1.7 Behavior of the electric field and its potential
  • 1.7.1 Vector lines of the electric field and equipotential surfaces
  • 1.7.2 Example 1: the point source
  • 1.7.3 Example 2: the electric field near surface charges
  • 1.7.4 Example 3: the electric dipole and its field
  • 1.7.5 Example 4: double layer
  • 1.7.6 Example 5: influence of a conductor on an electric field
  • 1.7.6.1 Case 1: conductor in an external field
  • 1.7.6.2 Case 2: electric charge entering a conductor
  • 1.7.6.3 Case 3: battery connected to a conductor
  • 1.7.6.4 Case 4: capacitor and capacitance
  • 1.7.6.5 Case 5: system of capacitors
  • References
  • Chapter 2
  • Stationary electric field
  • 2.1 The vector of current density
  • 2.2 Ohm's law
  • 2.3 The principle of charge conservation and basic equations of the current density
  • 2.4 Electric charges in a conducting medium
  • 2.5 Resistance and Ohm's law in integral form.
  • 5.6 Equation for the current when the dielectric consists of two layers
  • 5.7 The field caused by the interface charges
  • 5.7.1 Stage one
  • 5.7.2 Stage two
  • 5.7.3 Stage three
  • 5.8 The voltage and current in layers when the voltage between the capacitor plates is independent on time
  • 5.9 Frequency domain
  • 5.10 Complex dielectric permittivity and Maxwell phenomena
  • 5.10.1 Case 1: uniform medium
  • 5.10.2 Case 2: nonuniform medium (two layers)
  • 5.11 Principle of energy conservation (Poynting theorem)
  • 5.12 Vortex part of electric field inside the capacitor
  • 5.13 Magnetic part of the energy
  • References
  • Chapter 6
  • Effective dielectric permittivity
  • 6.1 Effective dielectric permittivity and its relationship with parameters of the medium
  • 6.2 Development of approximate methods
  • 6.3 Maxwell approach
  • 6.3.1 Example 1
  • 6.3.2 Example 2
  • 6.4 Extension of Maxwell solution for the case of sinusoidal fields
  • 6.5 Generalization of the Maxwell-Garnett formula
  • 6.6 Lichtenecker logarithmic formula
  • 6.7 Bruggeman approach
  • 6.8 Hanai method
  • 6.8.1 Principle of the Hanai method
  • 6.8.2 Calculation of the integral
  • 6.8.3 Special cases
  • 6.9 CRIM Formula
  • References
  • Part III
  • Application to dielectric logging
  • Chapter 7
  • Development of dielectric logging
  • 7.1 Introduction
  • 7.2 The field of the magnetic dipole in a uniform medium
  • 7.2.1 Wave number (frequency domain)
  • 7.2.2 The vector potential of the magnetic dipole in a uniform medium
  • 7.2.3 Expression for the electric and magnetic fields
  • 7.2.4 Dependence of the magnetic field on the frequency
  • 7.2.5 Dependence of the field on the distance
  • 7.3 The vertical magnetic dipole on the borehole axis
  • 7.3.1 Determination of the vector potential of the magnetic field.
  • 7.3.2 Expressions for the field components
  • 7.4 Far zone of the magnetic field on the borehole axis
  • 7.5 Cauchy formula and deformation of integration contour
  • 7.6 Petrophysical applications of dielectric logging
  • 7.7 Modern systems of dielectric logging
  • References
  • Appendix A
  • The solid angle
  • Appendix B
  • Interaction of currents, Biot-Savart law, and magnetic field
  • Appendix C
  • Faraday law
  • Appendix D
  • Electromagnetic field equations
  • Index
  • Back cover.

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