Nonlinear inversion for electrical resistivity tomography

The paper develops a 2-D nonlinear inversion approach for electrical resistivity tomography survey by using probability tomography, alpha centers, and genetic algorithm. First, the distribution scopes of anomalous bodies and the positions as well as coefficient ranges of alpha centers are determined based on the results of multiple superimposed probability tomography. Secondly, we use alpha centers method to numerical simulation of 2-D electrical structures and the intensity coefficients of alpha centers are obtained by the genetic inversion algorithm. Last, the resistivity distribution is reconstructed by using alpha center method. To test the effectiveness of the approach, several models of 2-D anomalous bodies imbedded in half homogeneous space are used to implement inversion and the results are satisfactory.