Solution of Three-Dimensional Problems for the Hyperboloid of Revolution and the Lens in Electrical Prospecting
In this paper solutions are given for problems of the potential distribution created by a point source of current in the case of a hyperbolic or spherical boundary of separation. The solutions are obtained by integrating the Laplace equation in degenerate ellipsoidal (toroidal) coordinates. To find the coefficients, a generalization of the Mehler-Fok integral theorem to the case m≠Q ft is used. The final expressions for the potential functions are given in the form of series whose coefficients are given by real integrals.
KeywordsPoint Source Potential Function Half Space Potential Distribution Laplace Equation
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