Fractal Model of Rocks ? A Useful Model for the Calculation of Petrophysical Parameters

Abstract

There are numerous experimental works intending to find the dependence between porosity and resistivity of sediments of different kind and different age. However there is not enough application of these theoretical considerations to the interpretation of electromagnetic data and physical modeling of data. Mathematical modeling of petrophysical properties can be done using matrix (fractal) models. A fractal model containing n-series of spheres with corresponding radii and surrounded by a thin film of adsorbed water (DEL) has been used. This model is more suitable for real sedimentary rocks. Using the parameters of the fractal model several petrophysical parameters can be calculated namely: resistivity, total and effective porosity, permeability, diffusions coefficient CD applied to seismoelectric sounding, volume of matrix and thickness of adsorbed water which characterizes elecroosmosis polarizability and decay constant.