Abstract
Inversion of large amounts of geoelectrical data by an iterative linearised Gauss Newton method is computationally heavy. Therefore, shortcuts in the inversion procedure are useful. This paper presents a 2D inversion procedure that uses the 2D Frechet derivative of the homogeneous halfspace as approximate partial derivatives. The inversion at each iteration step is carried out as a multichannel deconvolution that solves the inverse problem in the wavenumber domain. Hence, the iterative inversion procedure spends almost all computation time on the forward modellings. The inversion scheme is stabilised through covariance matrices reflecting the stochastic properties of the earth resistivity and data errors. The iterative inversion is stable and warrants convergence. Simple modifications allow the inversion procedure developed here, which is periodic in nature, to be used with non-periodic field data. A good correspondence is demonstrated with electrical resistivity logs that reflect the in situ resistivity of the ground.
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