A method, including: obtaining initial estimates of a plurality of subsurface parameters; obtaining a recorded wavefield decomposed into a plurality of discrete components; performing, with a computer, a cascaded inversion where the initial estimates of the subsurface parameters are individually updated, wherein each of the subsurface parameters are updated using a different discrete component of the recorded wavefield of the plurality of discrete components; and generating, with the computer, updated subsurface models from the cascaded inversion for each of the subsurface parameters.