基于煤矿应用的超高密度的正反演算法

Forward and Inverse Algorithm Based on Ultra High Density in Coal Mine Application

超高密度电法具有数据信息量大和精度高的优点,已广泛应用于煤矿生产地质环境的安全管理方面。在正演分析中,采用有限单元法对所测区域进行网格化分析,然后求得一个极值方程,为反演的求解提供了条件。采用高斯牛顿法对其进行反演求解,在求解的过程中,对其不断迭代,最后找到一个最符合真实情况的地电模型。利用仿真和实际测量对其结果进行检验。

The ultra high-density electrical method has the advantages of higher data rate and higher precision. High-density electrical method has been widely used in the safety management of coal mine geological environment. In the forward analysis, the finite element method is used to analyze the grid,then an extremum equation is obtained, which provides the conditions for the solution of the inversion.Generally, the method of least squares is used in the inversion of the traditional two-dimensional DC resistivity. Gauss Newton method is used to solve the problem. In the process of solving, it is constantly iterated, finally found one of the most accord with the real situation of the geoelectric model. The results are verified by simulation and actual measurement.