Abstract: Recently, a numerical extension of the WAPE adjoint-based inversion method has been presented that allows direct inversion of the geoacoustic parameters that are embedded in a discrete representation of nonlocal boundary conditions at the water-sediment interface [Hermand et al., ICTCA 2005]. Uncertainty in the range-average sound-speed profile (SSP) of the water-column section, as typically due to temporal or spatial variability, can significantly degrade the inversion results. The paper discusses an adjoint-based inversion method that includes the SSP as an additional unknown in the parameter space. An a priori estimate of the SSP based on a previous CTD measurement can be efficiently included in an augmented cost function throu...