The inverse problem of acoustics: determination of source wavelet and velocity

Abstract

This paper describes a numerical method for the solution of the inverse problem of acoustics in the case of recording of the full wave field at the free surface. The solution is sought by means of minimization of the data misfit functional which is a mean square deviation of the given wave field from the wave field calculated for some "test" medium model. The main attention is given to the problem of simultaneous determination of the form of the sounding signal and the velocity structure of the vertically-inhomogeneous medium in the case of the point source and receivers located at the free surface.