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• W2043975103 abstract "Abstract The deconvolution process is basic to the improvement of the thin bed response of induction logging tools. Past approaches to this problem have focussed on the design of inverse filters based on the Doll Geometric factor. As is well known, the Doll Geometric factor does not accurately model the response of the induction tool particularly in formations with conductivities greater than 1 mho/meter. Recently, new techniques based on the solution of Maxwell's equations have been developed that permit the computation of propagated geometric factors i.e. geometric factors that fully incorporate propagation effects. These techniques make it possible to accurately compute the vertical investigation characteristic or response function of the induction tool in a large class of cylindrically symmetric formation geometries, including the thin invaded bed formation model. In this paper, it is shown by the application of the above techniques that the response function of the induction tool is a function of both the formation parameters and the relative position of the tool with respect to the formation. In particular, it is shown that the shape of the response function becomes asymmetric with respect to the center of the tool as the conductivity of the formation increases. Synthetic data computed by using the above techniques is used to evaluate the performance of inverse filters based on the Doll Geometric factor for various formation geometries including the thin bed formation model. Currently, various deconvolution filters are being developed using response functions based on propagated geometric factors. The paper will include the results of an evaluation of these filters on various cylindrically symmetric formation geometries. Introduction The deconvolution process is basic to the improvement of the thin bed response of induction logging tools. Past approaches to this problem have focussed primarily on the design of approximate inverse filters based on the Doll geometric factor. As is well known, the Doll geometric factor does not accurately model the response of the induction tool particularly in formations with conductivities greater than 1 mho/meter. Recently, new techniques based on the solution of Maxwell's equations have been developed that permit the computation of propagated geometric factors (PGF's), i.e. geometric factors that fully incorporate propagation effects. These techniques make it possible to accurately compute the vertical investigation characteristic or response function of the induction tool for a large class of cylindrically symmetric formation geometries, including the borehole plus thin invaded bed formation model. This paper presents an analysis of the deconvolution problem from the perspective of the propagated geometric factor theory. A brief review of perspective of the propagated geometric factor theory. A brief review of this theory is provided in Section II of the paper. Section III contains an analysis of the vertical investigation characteristic or response function of the induction tool calculated by using propagated geometric factors. In particular, it is shown that the response function is a nonlinear function particular, it is shown that the response function is a nonlinear function of the formation parameters and of the tool position with respect to the formation. The deconvolution problem is analyzed in Section IV. A brief overview is presented of various approaches towards the solution of this problem. In Section V, a deconvolution filter based on the Doll geometric problem. In Section V, a deconvolution filter based on the Doll geometric factor is evaluated on three distinct thin bed formation geometries with progressively increasing conductivities. In particular, it is shown that progressively increasing conductivities. In particular, it is shown that the performance of the Doll based filter deteriorates significantly with increasing conductivities. In addition, this deconvolution filter is compared against an ad hoc filter based on propagated geometric factors. This comparison shows that significant improvements may be obtained in deconvolution performance by using PGF response functions to design deconvolution filters. Finally, Section V summarizes the results of this study and outlines areas for future research. SECTION II: THE PROPAGATED GEOMETRIC FACTOR THEORY This section begins with a brief review of the propagated geometric factor theory." @default.
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• W2043975103 date "1982-09-26" @default.
• W2043975103 modified "2023-09-27" @default.
• W2043975103 title "Deconvolution With Propagated Geometric Factors" @default.
• W2043975103 doi "https://doi.org/10.2118/10986-ms" @default.
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