Induced Polarization Modelling Using the Fractal Model to Complex Resistivity for Environmental Application

Abstract

A finite element code to simulate the forward and inverse induced polarization response to a 2-D model was developed. The "Fractal Model to Complex Resistivity" was applied as an intrinsic electrical property of the medium. The simulations were carried out in five different frequencies. The inversion of the complex resistivity parameter was applied to each frequency, further it was applied also to each cell of the finite element mesh in order to analyze the possibility of using the fractal model parameters in the qualitative and quantitative interpretation of the induced polarization response to this geological geometry. The results showed that the anomalies are well detected by the image of the fractal model parameters.

Keywords: Complex resistivity, finite element, forward modeling, fractal, inverse modelling