| Description |
1 online resource |
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text txt rdacontent |
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computer c rdamedia |
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online resource cr rdacarrier |
| Contents |
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. |
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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. |
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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. |
| Subject |
Dielectric measurements.
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Mesures diélectriques.
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Dielectric measurements
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| Added Author |
Donadille, Jean-Marc.
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| Other Form: |
Print version: 0128222832 9780128222836 (OCoLC)1191152128 |
| ISBN |
9780128222843 (electronic bk.) |
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0128222840 (electronic bk.) |
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9780128222836 |
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0128222832 |
| Standard No. |
AU@ 000068868934 |
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AU@ 000068889428 |
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UKMGB 020103822 |
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