Abstract: Systems and methods are disclosed. The method includes obtaining a sparse seismic velocity model for a subterranean region of interest. The sparse seismic velocity model includes populated positions and missing positions, where each populated position includes a velocity. The method further includes determining an interpolated seismic velocity model by determining the velocity at each missing position using the velocity at one or more of the populated positions and interpolation. The method still further includes determining an intermediate dense seismic velocity model by updating the velocity at each missing position using, at least in part, the interpolated seismic velocity model and a projections onto convex sets method and determining a dense seismic velocity model using, at least in part, the intermediate dense seismic velocity model.

Abstract: Systems and methods are disclosed. The method includes obtaining a sparse seismic velocity model for a subterranean region of interest. The sparse seismic velocity model includes populated positions and missing positions, where each populated position includes a velocity. The method further includes determining an interpolated seismic velocity model by determining the velocity at each missing position using the velocity at one or more of the populated positions and interpolation. The method still further includes determining an intermediate dense seismic velocity model by updating the velocity at each missing position using, at least in part, the interpolated seismic velocity model and a projections onto convex sets method and determining a dense seismic velocity model using, at least in part, the intermediate dense seismic velocity model.

Abstract: A method is disclosed that includes obtaining a seismic data set from a seismic survey conducted over a subterranean region of interest and discretizing the seismic data set into a plurality of sub-regions each with a local traveltime operator. The method further includes dividing the plurality of sub-regions into a first subset and a second subset and calculating the local traveltime operator for each sub-region of the first subset using a conventional method and determining the local traveltime operator for each sub-region of the second subset using a convergent POCS method based on the local traveltime operators for the sub-regions of the first subset. The method further includes determining an enhanced seismic dataset by performing non-linear beamforming using the local traveltime operator for each sub-region of the plurality of sub-regions and determining a location of a hydrocarbon reservoir in the subterranean region of interest using the enhanced seismic data set.