In study of the deep structure of the largely inhomogeneous earth's crust methods based on elastic surface waves are effective and increasingly popular. To date, there are a number of similar methods developed originally for use on land. In this paper, an algorithm is discussed for the tomographic reconstruction of the velocity structure of a geological medium in relation to the seabed. As initial data, in this case the surface wave travel time along the interface between the elastic and liquid media is used. The developed method is based on the analysis of noise data recorded by a network of bottom measuring stations. The possibility of estimating the Green's function by calculating the correlation function of seismoacoustic noise is discussed. The method of constructing the velocity map is based on the expansion of the velocity inhomogeneity by the so-called banded basis, originally developed for ocean acoustics problems. As a result, it becomes possible to restore the three-dimensional distribution of the elastic parameters of the seabed. Paper presents the results of experimental data processing performed using the "Plume lithosphere undersea melt" experiment to study the structure of the Hawaiian plume.
43.30.Ma Acoustics of sediments; ice covers, viscoelastic media; seismic underwater acoustics
$^1$The Schmidt Institute of Physics of the Earth RAS\
$^2$Faculty of physics, Lomonosov Moscow State University