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This is a accompanied supplement to the study. First, a short presentation is given from a study on fracture diagnosis using electrical logging. In this study, substandard fracture fillers had a negative impact on the signal results. It was one of the motivations for this study. Second, we give the detailed form of the formula for the electrical properties of the mixture and a link to the literature. Third, we give a simulation test using coal coke fracture fillers, which mainly considers the mechanical properties of coal coke.

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Radial basis function (RBF) is a basis function suitable for scattered data interpolation and high dimensional function interpolation, wherein the independent shape parameters have a direct impact on the accuracy of calculation results. Research in this field is mostly concerned with the shape parameter selection strategy based on the premise of global distribution or block regional distribution. In this paper, a shape parameter selection strategy is proposed, which is used for the local RBF collocation method (LRBF) for solving partial differential equations.

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