Frequency Dependent Effects in Porous Rocks

This paper addresses the dispersion of elastic wave velocities caused by scattering of these waves by<br>inhomogeneities. The frequency dependent velocities are theoretically determined with the help of pair<br>correlation function method that makes it possible to find the Vp and Vs depending on the rock composition,<br>spatial pair correlation functions of elastic moduli of medium, and frequency. When calculating the velocity<br>at required frequency (for, example, seismic), the pair correlation function is found from experimental data at<br>higher frequency (for example, from acoustic logging). This approach is applicable for solving the upscaling<br>problems. Another application of this method is detecting the productive zones that are shown to be<br>associated with enhanced inhomogeneity of medium, which results in increased amplitudes of correlation<br>functions.