Analysis of parametrical dependencies of Stoneley wave attenuation in fluid-filled borehole due to its scattering on rough well surface

The problem on attenuation of Stoneley wave and other highest modes due to their scattering on a well roughness is considered in the report. The solution of problem was obtained in framework of small perturbation approximation and with use of the mean field approach technique. The main goal of the report is the analysis of frequency dependencies of partial attenuation coefficients (corresponding to scattering into eigen modes and bulk waves) for different ratios of correlation length and borehole radius to wavelength and for different correlation functions of roughness. In particular it is shown that the forward and the backward scattering have different scaling factors that leads to separation of their contributions to attenuation factor in frequency domain. The useful scaling and normalizing factors are suggested in dependence on form of correlation function.