Inverse Scattering for Schrödinger Impedance Equation and Simultaneous ρ-v Inversion in Layered Media

Summary In this presentation, we formulate the Schrodinger impedance equation of oblique incidence for acoustic wave equation in layered media and solve the related inversion scattering by the GLM (Gel’fand-Levitan-Marchenko) theory. Based on the GLM impedance solutions, we developed two inversion methods for the recovery of velocity-density simultaneously. In addition to the use of reflection amplitude, traveltime information of reflection arrivals is also utilized for inversion based on the focusing principle. Numerical tests demonstrate the validity of the theory and method. In addition, we compare a few available approaches of acoustic inverse-scattering and conduct a simple stability analysis.