A wavelet multiscale–homotopy method for the inverse problem of two-dimensional acoustic wave equation

By introducing the wavelet multiscale method and the homotopy method to the inversion process for the velocity estimation problem of two-dimensional acoustic wave equation in seismic prospecting, a joint inversion method—wavelet multiscale–homotopy method is designed, which is stable, globally convergent, and has the ability of noise suppression. The results of numerical simulations and noise suppression tests indicate our method’s effectiveness.