Iterative algorithm for calculating velocity and attenuation of the tube wave measured during acoustic logging

We develop a new iterative algorithm to obtain estimates for the velocity and attenuation of the tube wave, which is measured during acoustic logging by a few receivers. A distinguishing feature of the algorithm is that optimization of the estimated parameters is performed in both the space plane and the frequency plane. On the one hand, it provides a high degree of tolerance of our algorithm of noise and on the other permits one to conduct dispersion analysis of wave modes, for example, Stoneley waves. A comparison of the new algorithm and the homomorphic algorithm is made.