Abstract
In this paper, I evaluate the potential field due to a dc current source located anywhere within a horizontally layered space, all layers possessing exponentially varying resistivities. The solution takes the form of Hankel transforms with their kernel expressions containing functions defined by recursion formulas. The resulting expressions can be used to model any kind of resistivity array. Specializing the general solution to full‐ or half‐space models possessing exponential dependence, I find terms I interpret as primary and secondary contributions. Analytic expressions for the secondary electrical field revealed an error in the Stoyer and Wait solution for a half‐space. To test the derived n-layer solution based on recursion formulas, I modeled resistivity logs for both homogeneous layers and intercalated homogeneous and heterogeneous layers. Curves from the theory reproduced asymmetries and ripples observed in real resistivity logs.
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