SYSTEM AND METHOD OF MITIGATING INSTABILITIES IN A PSEUDOACOUSTIC WAVE PROPAGATOR

摘要

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.

主权项

1. A computer-implemented method, comprising:
receiving one or more seismic measurements corresponding to a plurality of source and receiver locations; providing an earth model for a geologic medium, the geologic medium having a heterogeneous tilted symmetry axis, wherein 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; and propagating the one or more seismic measurements 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 including a first equation describing one or more seismic wavefields and a second equation describing the one or more seismic wavefields; and wherein, the set of energy-conservative pseudoacoustic equations 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.