SYSTEM AND METHOD OF MITIGATING INSTABILITIES IN A PSEUDOACOUSTIC WAVE PROPAGATOR

摘要

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.

主权项

1. A computer-implemented method, comprising:
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; processing one or more seismic measurements corresponding to a plurality of source and receiver locations using a set of second-order pseudoacoustic equations applied in accordance with the earth model, the set of pseudoacoustic equations including a first equation describing one or more seismic wavefields and a second equation describing the one or more seismic wavefields, wherein 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; andin accordance with a determination that 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.