Abstract: A method is described that includes receiving one or more seismic measurements corresponding to a plurality of source and receiver locations and providing an earth model for a geologic medium having a heterogeneous tilted symmetry axis. The earth model includes a nonzero shear velocity in the direction of the symmetry axis. The one or more seismic measurements are propagated over a plurality of time-steps in accordance with the earth model and a set of energy-conservative self-adjoint pseudoacoustic equations. The set of energy-conservative self-adjoint pseudoacoustic equations describes one or more seismic wavefields.

Abstract: A method is described that includes receiving one or more seismic measurements corresponding to a plurality of source and receiver locations and providing an earth model for a geologic medium having a heterogeneous tilted symmetry axis. The earth model includes a nonzero shear velocity in the direction of the symmetry axis. The one or more seismic measurements are propagated over a plurality of time-steps in accordance with the earth model and a set of energy-conservative self-adjoint pseudoacoustic equations. The set of energy-conservative self-adjoint pseudoacoustic equations describes one or more seismic wavefields.

Abstract: A system and computer-implemented method for determining properties of a subsurface region of interest from seismic data include obtaining seismic data and an initial earth property model, forward modeling using the initial earth property model to create modeled seismic data, transforming the modeled and actual seismic data to create frequency domain modeled and actual seismic data including amplitude portion and phase portions, measuring the misfit between the frequency domain modeled and actual seismic data to produce frequency domain residual seismic data, performing phase unwrapping of certain observed frequency components of the frequency domain residual seismic data to create an unwrapped residual phase portion, and inverting the unwrapped residual phase portion to determine desired properties of the subsurface region of interest.

Abstract: A method is described that includes providing an earth model for a geologic medium having a tilted symmetry axis. The earth model includes a nonzero shear velocity in the direction of the symmetry axis for at least a subset of locations within the geologic medium. The method further includes processing seismic measurements using a set of pseudoacoustic equations applied and the earth model. The set of pseudoacoustic equations includes a first equation and a second equation describing the one or more seismic wavefields. The processing includes propagating the one or more seismic wavefields over a plurality of time-steps in accordance with the set of pseudoacoustic equations, determining whether a respective time-step of the plurality of time-steps meets predetermined criteria and, when the respective time-step meets the predetermined criteria, applying a set of constraints distinct from the earth model and the set of pseudoacoustic equations to adjust the one or more seismic wavefields.

Abstract: A method is described that includes receiving one or more seismic measurements corresponding to a plurality of source and receiver locations and providing an earth model for a geologic medium having a heterogeneous tilted symmetry axis. The earth model includes a nonzero shear velocity in the direction of the symmetry axis. The one or more seismic measurements are propagated over a plurality of time-steps in accordance with the earth model and a set of energy-conservative pseudoacoustic equations. The set of energy-conservative pseudoacoustic equations describes one or more seismic wavefields and is derived from a set of energy non-conservative pseudoacoustic equations by approximating one or more derivative terms of the one or more seismic wavefields in the set of energy non-conservative pseudoacoustic equations.

Abstract: A system and computer-implemented method for inverting data from an area of interest to determine physical properties of the area of interest is disclosed. The method includes transforming the data into a Fourier frequency domain to obtain frequency domain data wherein the frequency domain data includes an amplitude portion and a phase portion, performing phase unwrapping of the phase portion of the frequency domain data to generate an unwrapped phase portion, and inverting the unwrapped phase portion to determine the physical properties of the area of interest. The method may also extrapolate the phase. The data inverted may be, for example, seismic data or synthetic aperture radar data. The system includes a data source, a user interface, and a processor configured to execute computer modules designed to execute the method.

Abstract: A system and computer-implemented method for inverting data from an area of interest to determine physical properties of the area of interest is disclosed. The method includes transforming the data into a Fourier frequency domain to obtain frequency domain data wherein the frequency domain data includes an amplitude portion and a phase portion, performing phase unwrapping of the phase portion of the frequency domain data to generate an unwrapped phase portion of unwrapped data, extrapolating the unwrapped phase portion to create extrapolated unwrapped data, and inverting the extrapolated unwrapped data to determine the physical properties of the area of interest. The data inverted may be, for example, seismic data or synthetic aperture radar data. The system includes a data source, an user interface, and a processor configured to execute computer modules designed to implement the method.

Abstract: A system and computer-implemented method for determining properties of a subsurface region of interest from seismic data is disclosed.