Ray Tracing Method and System for Orthotropic Media Based on Phase Velocity
An orthotropic, ray-tracing technology, applied in seismology, instruments, measuring devices, etc., can solve the problems of cumbersome equations, large influence, and reduced efficiency of orthotropic media, and improve computational efficiency Effect
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[0045] Such as figure 1 As shown, the present invention provides a ray tracing method based on phase velocity in an orthotropic medium, comprising steps:
[0046] S1. Obtain the phase velocity-based orthotropic medium parameter domain ray tracing equation according to the Hamilton phase velocity ray tracing formula;
[0047] Firstly, starting from the Hamiltonian phase velocity ray tracing formula, that is, formula (1):
[0048]
[0049] Where: x i is the coordinate; T is the travel time; τ is the time step; d is the differential symbol; K is the Hamilton phase velocity; p is the ray parameter; v is the phase velocity of the anisotropic medium; V G is the group velocity of the anisotropic medium.
[0050] Substituting the general formulas of phase velocity and group velocity of anisotropic media into the above formula (1), the ray tracing equation in the parameter domain of orthotropic media based on phase velocity can be obtained, as shown in the following formula (2):
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