Theory of Microinduction Measurements

Weng Cho Chew, Robert L. Kleinberg

Research output: Contribution to journalArticle

Abstract

The microinduction sensor consists of miniature transmitter and receiver coils. It can be used to make a noncontacting conductivity measurement of inhomogeneous media. Due to the small size of the sensor, it is capable of centimeter resolution, and is therefore useful in dipmeter logging of boreholes filled with nonconductive fluid. The theory of the microinduction sensor is described. A Green's Function approach is used to formulate an integral equation, whose lowest Born approximation and geometrical factor theory can be used to gain physical intuition and to predict the response of the sensor in certain special cases. To solve more general problems, a full wave theory for the sensor over a layered medium is introduced that includes all electrodynamic effects. Using the full wave theory, the effect of sensor tilt is ascertained. In order to solve the problem of general inhomogeneous media in a computationally efficient manner, the integral equation can be solved with a variational principle calculation that incorporates the Maxwell-Wagner charge effect.

Original languageEnglish (US)
Pages (from-to)707-719
Number of pages13
JournalIEEE Transactions on Geoscience and Remote Sensing
Volume26
Issue number6
DOIs
StatePublished - Nov 1988

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sensor
Sensors
Integral equations
Born approximation
Well logging
layered medium
electrodynamics
Electrodynamics
Green function
Boreholes
tilt
Green's function
Transmitters
conductivity
borehole
Fluids
fluid
effect

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Earth and Planetary Sciences(all)

Cite this

Theory of Microinduction Measurements. / Chew, Weng Cho; Kleinberg, Robert L.

In: IEEE Transactions on Geoscience and Remote Sensing, Vol. 26, No. 6, 11.1988, p. 707-719.

Research output: Contribution to journalArticle

Chew, Weng Cho ; Kleinberg, Robert L. / Theory of Microinduction Measurements. In: IEEE Transactions on Geoscience and Remote Sensing. 1988 ; Vol. 26, No. 6. pp. 707-719.
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