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Reduction to Pole of Non-Equidistantly Measured Magnetic Data Using an Inversion-Based Fourier Transformation Algorithm
- Publisher: European Association of Geoscientists & Engineers
- Source: Conference Proceedings, 2nd Conference on Geophysics for Mineral Exploration and Mining, Sep 2018, Volume 2018, p.1 - 5
Abstract
A new, robust and resistant, inversion based 2D Fourier transformation is presented where the spectrum is discretized by series expansion (S-IRLS-FT) using Hermite-functions as basis functions. The series expansion coefficients are given by the solution of a linear inverse problem. Taking advantage of the beneficial properties of Hermite-functions, that they are the eigenfunctions of the inverse Fourier transformation, the elements of the Jacobian matrix can be calculated fast and easily, without integration. The procedure can be robustified using Iteratively Reweighted Least Squares (IRLS) method with Steiner weights. This results in a very efficient robust and resistant inversion procedure. Its applicability is demonstrated in the reduction to the pole of magnetic data set measured in regular (equidistant sampling) and “random walk” measurement arrays.