Two-dimensional Inversion of DC Resistivity Data on Unstructured Grids Using Fuzzy C-means Clustering Model Constraint

Direct current resistivity prospecting is a commonly geophysical method for environmental and engineering applications. In this paper, we propose a fuzzy C-means clustering model constrained inversion algorithm for two-dimensional DC resistivity. To fit arbitrary geological structure and surface of the earth, our inversion algorithm is developed based on unstructured model mesh. To be consistent with the geological structure, the fuzzy C-means clustering model constraint is added to the inversion cost function with the minimum structure model constraint, and the Gauss-Newton optimization method is used to seek solutions of the nonlinear inverse problem. Finally, we verify the performance of our algorithm by synthetic and field data sets. The results show that the resistivity and boundary can be better restored when the correct number and value of priori cluster centers were set. By testing the field data, the inversion algorithm can obtain obvious abnormal boundaries.