LIMITATIONS ON RESISTIVITY METHODS AS INFERRED FROM THE BURIED SPHERE PROBLEM

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Abstract
The study of resistivity surveys over buried spheres is facilitated by the use of a bipolar coordinate system. Without solving the incident potential problem exactly, the author obtains an exact solution for the apparent resistivity as measured by the Wenner configuration of electrodes situated directly over a buried conducting sphere. From a study of depth profiles over a set of spheres buried at different depths, it is concluded that one cannot expect to find by direct current methods a sphere buried to a depth greater than the radius of the sphere. This result is generalized to include bodies of more arbitrary shape.

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