oa Correlation Function Behaviour in Productive and Nonproductive Layers

A mathematical technique is suggested to calculate the 3-D spatial correlation functions for elasticity tensor components. The technique is based on the expansions of elasticity modulus fluctuations into the Fourier series. This method is applied for field data obtained at the seismic frequency. The results of calculations show the existence of maximum amplitudes and minimum of correlation radius of the correlation functions associated with enhanced inhomogeneities at some depth. It is observed that these depths well correlate with oil and gas location indicated by other independent methods. It is shown that the experimental correlation functions cannot be fitted with accepted accuracy by spherical Gaussian functions.