SYSTEM AND METHOD OF ESTIMATING ANISOTROPY PROPERTIES OF GEOLOGICAL FORMATIONS USING A SELF-ADJOINT 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 self-adjoint pseudoacoustic equations. The set of energy-conservative self-adjoint pseudoacoustic equations describes one or more seismic wavefields.

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; 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 self-adjoint pseudoacoustic equations, the set of energy-conservative self-adjoint 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 set of energy-conservative self-adjoint pseudoacoustic equations include a correct full-elastic quasi-P-wave dispersion relationship and are time-reversible to generate a forward propagated wavefield and a backward propagated wavefield; and correlating the forward propagated wavefield and the backward propagated wavefield to determine physical properties of the geologic medium.