Publisher Summary This chapter describes a variety of schemes for tracking the kinematic
evolution of high frequency seismic waves in heterogeneous 2-D and 3-D structures. Where …

The fast marching method (FMM) is a grid based numerical scheme for tracking the
evolution of monotonically advancing interfaces via finite-difference solution of the eikonal …

The accurate prediction of seismic traveltimes is required in many areas of seismology,
including the processing of seismic reflection profiles, earthquake location, and seismic …

Seismic data represent one of the most valuable resources for investigating the internal
structure and composition of the earth. One of the first people to deduce earth structure from …

Traditional grid-based eikonal schemes for computing traveltimes are usually confined to
obtaining first arrivals only. However, later arrivals can be numerous and of greater …

ABSTRACT A unified approach to approximating phase and group velocities of qP seismic
waves in a transversely isotropic medium with vertical axis of symmetry (VTI) is developed …

The atmospheric excess path delay is a major contributor to the error budget of space
geodetic positioning applications and should therefore be reduced to the maximum possible …

This article introduces PyKonal: a new open‐source Python package for computing travel
times and tracing ray paths in 2D or 3D heterogeneous media using the fast marching …

This part describes the effects of the troposphere—strictly speaking the neutral atmosphere—
on the propagation delay of space geodetic signals. A theoretical description of this …

Recently, fast marching methods (FMM) beyond first order have been developed for
producing rapid solutions to the eikonal equation. In this paper, we present imaging results …