## Abstract

A nonmatrix approach to the electromagnetic modeling of an induction sonde response in a dipping bed environment is presented. The method is approximate and is an extension of geometrical factor theory or the more rigorous Born approximations. The method uses a new electric field vector integral equation developed by C. C. Chew and R. L. Kleinberg (1988). The receiver coil voltage consists of two parts, a volumetric component v_{g}, and a surface component v_{c}. The term v_{g} reduces to the Born result when the dip angle is zero; v_{c} accounts for the surface charge effect and is only significant when the receiver coils are in close proximity to a bed boundary. Analysis shows that the double scattering events which produce the charge interaction at a bed boundary are proportional to the factor sin^{2}(θ_{0})(σ_{2} - σ_{1})^{2}/ (σ_{1} + σ_{2}), where θ_{0} is the dip angle and σ_{1} and σ_{2} are the conductivities of the adjacent beds. Numerical comparisons with eigenfunction solutions in special-case geometries validate the theory.

Original language | English (US) |
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Pages | 2858-2861 |

Number of pages | 4 |

State | Published - 1989 |

Event | IGARSS'89 - Twelfth Canadian Symposium on Remote Sensing Part 1 (of 5) - Vancouver, BC, Can Duration: Jul 10 1989 → Jul 14 1989 |

### Conference

Conference | IGARSS'89 - Twelfth Canadian Symposium on Remote Sensing Part 1 (of 5) |
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City | Vancouver, BC, Can |

Period | 7/10/89 → 7/14/89 |

## ASJC Scopus subject areas

- Computer Science Applications
- Earth and Planetary Sciences(all)