Implications and Influences of Length Variations of the Forward Filter Using the Convolution Approach

Abstract

The research aims at the study of convolution implications for1-D forward filter length variation using different apparent resistivity patterns with sampling intervals depending upon number of filter coefficients . Three geoelectric models were obtained for each pattern by applying three filter frequencies. Each geoelectric model contains resistivity reflection coefficients, transversal resistance ratios, Longitudinal conductance ratios and Dar Zarrouk parameters. It has been found that the reflectivity coefficients were the least affected with the changing of the filter length while there is an obvious contrast in other geoelectric parameters. The study has shown that variations in filter length has no relation with variations in maximum penetration depth or with the length and dip of the field curve branches. However, it is possible to exploit multi-sampling technique of the field curve for diagnosing the length of the forward filter which determine the upper value of the maximum depth of penetration.