Preconditioning non-monotone gradient methods for retrieval of seismic reflection signals

Abstract

The core problem in seismic exploration is to invert the subsurface reflectivity from the surface recorded seismic data. However, most of the seismic inverse problems are ill-posed by nature. To overcome the ill-posedness, different regularized least squares methods are introduced in the literature. In this paper, we developed a preconditioning non-monotone gradient method, proved it converges with R-superlinear rate and applied it to seismic deconvolution and imaging. Numerical examples demonstrate that the method is efficient. It helps to improve the resolution of the seismic inversions.