Meaning and calculation of travel times

Ludek Klimes
Charles University, Prague
Department of Geophysics

Local high-frequency asymptotics and eikonal equations; problems
with multivalued global solutions of the eikonal equations
(functional space, boundary conditions).

Space-time ray method; space-time eikonal equation; space-time
ray tracing (Hamilton) equations; Hamilton-Jacobi equation.

Time-harmonic ray method; spatial eikonal equation; ray-theory
travel times; spatial ray tracing (Hamilton) equations;
ray coordinates.

First-arrival travel time; minimum Fermat's and Huygens'
principles; minimum ray-theory travel time versus first-arrival
travel time.

Meaning of travel times and material parameters (propagation
velocities) at finite frequencies; problems of attenuation,
scattering, anisotropy.

Efficiency of ray tracing; Lyapunov exponents for ray tracing.

Two-point ray tracing algorithms; ray histories; interpolation
within ray cells, wavefront tracing.

Grid travel-time tracing algorithms.


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