#$%^&*AU2007229430B220120816.pdf#####ABSTRACT OF THE DISCLOSURE Three data subsets are obtained in three selected azimuthal directions from seismic data in heterogeneous, anisotropic media. Azimuthal velocities are determined for each of the data subsets. A linear system of equations in the three selected azimuthal directions and the three deten-nined azimuthal velocities is solved for three independent parameters. An azimuthal time migration velocity function is constructed from the three solved independent parameters. A time migration traveltime function is constructed from the constructed azimuthal time migration velocity function.3/3 Obtain seismic data Obtain seismic data Obtain seismic data subset in first subset in second subset in third azimuthal direction azimuthal direction azimuthal direction 201 IF202 IF203 Obtain azimuthal time Obtain azimuthal time Obtain azimuthal time migration velocity migration velocity migration velocity in first azimuth in second azimuth in third azimuth 204 205 206 Construct linear system of equations from three azimuthal directions and three azimuthal time migration velocities 208 207 Solve linear system of equations for three media parameters 209 Construct arbitrary azimuthal time migration velocity function from three media parameters 210I F Construct complete time migration traveltime function from azimuthal time migration velocity function FIG 2
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