# Principles of induction logging / A.A. Kaufman and Yu. A. Dashevsky

- Author:
- Kaufman, Alexander A., 1931-
- Published:
- Amsterdam ; Boston : Elsevier, 2003.
- Edition:
- 1st ed.
- Physical Description:
- xii, 643 pages : illustrations ; 25 cm.
- Additional Creators:
- Dashevsky, Yu. A.

- Series:
- Methods in geochemistry and geophysics ; 38
- Contents:
- BASIC ELECTROMAGNETIC LAWS AND MAXWELL'S EQUATIONS: Coulomb's law -- Normal component of the electric field caused by a planar charge distribution -- Effect of a conductor situated within an electric field -- Biot-Savart law -- The magnetic field of a straight wire line -- The vector potential and magnetic field of the current flowing in a circular loop -- The magnetic field of a grounded electrode in a uniform conducting medium -- The postulate of conservation of charge and the distribution of charges in conducting media -- Exponential variation -- Sinusoidal variation -- Faraday's law and the first Maxwell equation -- The vortex electric field of a solenoid -- The vortex electric field of a magnetic dipole in a free space -- The inductive electric field due to the magnetic field of a current flowing in a circular loop -- Induction of a current in a thin conducting ring situated within a primary alternating field -- Behavior of the electromagnetic field at the early stage and high frequencies in a conducting medium -- Electromagnetic field equations -- Relationships between various responses of the electromagnetic field -- ELECTROMAGNETIC FIELD OF THE MAGNETIC DIPOLE IN A UNIFORM CONDUCTING MEDIUM --

METHODS FOR THE SOLUTION OF DIRECT PROBLEMS OF INDUCTION LOGGING: The method of separation of variables -- The method of shells -- Derivation of approximate boundary conditions on a shell surface -- Calculation of the electromagnetic field caused by induced currents in one shell -- The field in a presence of two confocal shells -- The method of integral equations -- Approximate methods of field calculation in induction logging -- Doll's theory of induction logging -- The approximate theory of induction logging, taking into account the skin effect in the external area -- ELECTROMAGNETIC FIELD OF A VERTICAL MAGNETIC DIPOLE ON THE AXIS OF A BOREHOLE: Formulation of the boundary problem -- Derivation of the formula for the vertical component of the magnetic field -- The quadrature component of the magnetic field at the range of very small model parameters -- Radial characteristics of a two-coil induction probe at the range of small parameters -- Influence of the skin effect in the formation on the radial characteristics of a two-coil induction probe -- Two-layered medium -- Three-layered medium -- Asymptotic behavior of the magnetic field in the borehole in the range of small parameters -- Behavior of the field on the borehole axis in the near and far zones -- Frequency responses of the magnetic field of the vertical magnetic dipole on the borehole axis -- Influence of finite dimensions of induction probe coils -- Electrical field of a current ring in a medium with cylindrical interfaces -- Electrical field of a single-layer coil in a medium with cylindrical interfaces -- Both transmitter and receiver of the induction probe are single-layer coils -- Radial responses of two-coil induction probes displaced with respect to the borehole axis -- The influence of magnetic permeability and dielectric constant in induction logging --

QUASISTATIONARY MAGNETIC FIELD OF A VERTICAL MAGNETIC DIPOLE IN A FORMATION WITH A FINITE THICKNESS: Derivation of formulae for the vertical component of the magnetic field of a vertical magnetic dipole -- The field of the magnetic dipole located outside the bed -- The field of the magnetic dipole located within the bed -- The field of the vertical magnetic dipole in the presence of a thin conducting plane -- The vertical responses of the two-coil induction probe in the range of small parameters -- Geometric factor of an elementary layer -- Geometric factor of a layer with a finite thickness -- The theory of the two-coil induction probe in beds with a finite thickness -- Curves of profiling with a two-coil induction probe in a medium with two horizontal interfaces -- Thick conductive bed -- Thick resistive bed -- Thin conductive bed -- Thin resistive bed -- THE TWO-COIL INDUCTION PROBE ON THE BOREHOLE AXIS, WHEN THE BED HAS A FINITE THICKNESS: Doll's theory of the two-coil induction probe located on the borehole axis when a formation has a finite thickness -- The theory of a two-coil induction probe, taking into account the skin effect in an external medium -- Influence of the finite thickness of the formation on the magnetic field behavior --

MULTI-COIL DIFFERENTIAL INDUCTION PROBES: Methods of determination of probe parameters -- Physical principles of multi-coil differential probes -- Radial and vertical responses of the differential probe 1.1 1. -- Radial and vertical responses of probes 6F1M, 4F1 and 4Fl.1 -- The influence of finite height of the invasion zone on radial responses of probes 6F1M, 4F1 and 4Fl.l -- Three-coil differential probe -- The influence of eccentricity on focusing features of multi-coil induction probes -- Choice of a frequency for differential probes -- Determination of the coefficient of differential probes -- Induction logging based on measuring the inphase component of the secondary field or the quadrature component difference of type Q Hz(wi) - wd w2 Q Hz( w2) -- TRANSIENT INDUCTION LOGGING: The transient field of the magnetic dipole in a uniform medium -- Ifansient field of the vertical magnetic dipole on the borehole axis at the late stage -- Apparent resistivity curves of the transient method in a medium with cylindrical interfaces -- The transient responses of a vertical magnetic dipole in a formation with a finite thickness -- About a nonstationary field of the electric dipole --

PRINCIPLES OF INDUCTION LOGGING WITH TRANSVERSAL INDUCTION COILS: Electromagnetic field of the magnetic dipole in a uniform isotropic medium -- Boundary problem for the horizontal magnetic dipole on the borehole axis -- Magnetic field on the borehole axis in the near zone -- The magnetic field on the borehole axis in the far zone -- The magnetic field in a medium with two cylindrical interface -- Cylindrical surface with transversal resistance T -- The magnetic field in a medium with one horizontal interface -- The magnetic field of the horizontal dipole in the formation with finite thickness -- Curves of profiling with a two-coil induction probe in a medium with horizontal interfaces -- THE INFLUENCE OF ANISOTROPY ON THE FIELD OF THE MAGNETIC DIPOLE IN A CONDUCTING MEDIUM: Anisotropy of a layered medium -- Electromagnetic field of the magnetic dipole in a uniform anisotropic medium -- Magnetic field in an anisotropic medium with two horizontal interfaces -- MATHEMATICAL MODELING OF THE RESPONSE OF INDUCTION LOGGING TOOLS IN 3D GEOMETRIES. - Subject(s):
- ISBN:
- 0444509836 (alk. paper)
- Bibliography Note:
- Includes bibliographical references (pages 639-640) and index.

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