Fractal Network and Mixture Models for Elastic and Electrical Properties of Porous Rock

Abstract

Study of the correlation of elastic and electrical properties of porous rock is important for predicting parameters, such as porosity and permeability. We review the methods that allow calculations of both electrical and elastic properties of porous rock for the same microstructure. The methods are categorized into mixture theories and fractal networks theories. The mixture theories describe electrical and elastic properties for limited cases of microstructures and fail to predict properties of porous rock near percolation. Fractal models, recently developed for elastic and electrical properties of porous rock are described for conductivity and seismic velocities for a wide range of isolated and interconnected pore geometries. We review the application of the model to the results of collocated seismic velocity tomography and magnetotelluric experiments at an active faults of the experimental data using the fractal model illustrated that the deep extension of the active fault can be regarded as the region, with small aspect ratios equal to 10−2, showing that the pore geometry in the region is far from the interfacial energy-controlled fluid geometry.