Werner deconvolution for automated magnetic interpretation and its refinement using Marquardt’s inverse modeling

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Abstract
We present a deconvolution for automated magnetic interpretation based on Werner’s (1953) simplified thin‐dike assumption which leads to the linearization of complex nonlinear magnetic problems. The usefulness of the method is expanded by the fact that the horizontal gradient of the total field caused by the edge of a thick interface body is equivalent to the total field from a thin dike. Statistical decision, numerical iteration, and a seven‐point operator are used to improve approximations of susceptibility, dip, depth, and horizontal location of the source. Marquardt’s nonlinear least‐squares method for inverse modeling is then used to refine automatically the first approximation provided by the deconvolution. Synthetic and real total‐field data are used to demonstrate the process.

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