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| THE QUASI-ANALYTICAL METHOD FOR THE THREE-DIMENSIONAL D.C. ELECTRICAL FIELD MODELING ON UNDULATE TOPOGRAPHY |
| ZHANG Jin-hui1, LIU De-peng1, ZHANG Ya-dong2 |
1. Anhui Institute of Geological Exploration Technologies, Bengbu 233005, China;
2. Exploration Department of Changqing Oil Field Company, Xi'an 710021, China |
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Abstract The quasi-analytical method is a means for solving integration equations. To study the three-dimensional D.C. electrical field under surface topography, this paper puts forward the formula of the quasi-analytical theory for the three-dimensional D.C. electrical field under the surface topography based on the quasi-analytical theory for the whole space. The authors divide the anomalous electric field at the surface into two parts, one is the body anomalous electric field caused by the anomalous body, which can be solved by the body integral, whereas the other is the surface anomalous electric field resulting from the interface between the earth and the air, which can be calculated by the surface integral. The authors inferred the body electrical reflectivity tensor and the surface electrical reflectivity tensor separately. The quasi-analytical theory was used to deduce the formula of the quasi-analytical theory under the surface topography. This formula can give us a train of thought for solving the surface topography problem. It can enrich the quasi-analytical theory and promote the forward and inverse modeling of the D.C. electrical field, thus laying a foundation for eliminating the effect of the surface topography.
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Received: 10 March 2012
Published: 10 August 2012
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