Simultaneous Reconstruction of Compressional Wave Speed and Density Profiles from Modal Eigenvalues

In this paper we present a simple approach for estimating the compressional wave speed and density profiles of sediments in a shallow water environments from modal eigenvalues. Methods published earlier in the literature called for data at two frequencies and had to make the assumption that the density profile is a continuous function. Further, the processing scheme was difficult to implement. The method presented here requires data from only one frequency and allows for discontinuities in the density profile. The performance of the proposed method is studied using synthetic data.