Two realizations of direct and inverse Radon transform were considered for solving the problem of velocity filtering of acoustic logging data, represented as arrays in (t ‑ x)-area (time – linear spatial coordinate): 1) through (τ – p)-area (travel time – slowness ); 2) through (f – p)-area (frequency – slowness). Original MATLAB-functions are outlined, comparison of filtering results for arrays of multielement wave acoustic logging data are adduced.
To increase the resolution three-element acoustic logging tool at the base of the probe divisible exceeding step logging in depth, it is proposed method based on the solution of the problem, inverse moving the arithmetic mean. To update estimates of the slowness, a system of linear equations and offers its regularization. The efficiency of the method can be assessed by comparing the registered and synthetic curves of first break.