Topography-dependent eikonal equation and its solver for calculating first-arrival traveltimes with an irregular surface

H Lan, Z Zhang - Geophysical Journal International, 2013 - academic.oup.com
First-arrival traveltime is commonly used in problems that involve static correction, pre-stack
migration, earthquake location, seismic tomography, etc. The classical eikonal equation …

An upwind fast sweeping scheme for calculating seismic wave first‐arrival travel times for models with an irregular free surface

H Lan, L Chen - Geophysical Prospecting, 2018 - earthdoc.org
The topography‐dependent eikonal equation formulated in a curvilinear coordinate system
has recently been established and revealed as being effective in calculating first‐arrival …

A high‐order fast‐sweeping scheme for calculating first‐arrival travel times with an irregular surface

H Lan, Z Zhang - Bulletin of the Seismological Society of …, 2013 - pubs.geoscienceworld.org
Topography‐dependent eikonal equation (TDEE) formulated in a curvilinear coordinate
system has been recently established and is effective for calculating first‐arrival travel times …

Study on the numerical solutions of the eikonal equation in curvilinear coordinate system

YF Liu, HQ Lan - Chinese Journal of Geophysics, 2012 - en.dzkx.org
The classical eikonal equation is commonly used in Cartesian coordinate system for
problems that involve static correction, prestack migration, earthquake location and seismic …

Effects due to the anisotropic stretching of the surface-fitting grid on the traveltime computation for irregular surface by the coordinate transforming method

HQ Lan, Z Zhang, T Xu, ZM Bai - Chinese Journal of Geophysics, 2012 - en.dzkx.org
The classical eikonal equation is commonly used in Cartesian coordinate system for
problems that involve static correction, prestack migration, earthquake location and seismic …

Topography-dependent eikonal traveltime tomography for upper crustal structure beneath an irregular surface

T Ma, Z Zhang - Pure and Applied Geophysics, 2015 - Springer
Seismic modeling of the crust with nonflat topography can be made by first-arrival traveltime
tomography, which faces the challenge of an irregular free surface. A feasible way to deal …

A finite difference scheme for solving the eikonal equation including surface topography

J Sun, Z Sun, F Han - Geophysics, 2011 - pubs.geoscienceworld.org
For solving the eikonal equation in the regions near the curved earth's surface and the
curved interface, we find a second order upwind finite difference scheme that uses …

Finite-difference solution of the eikonal equation using an efficient, first-arrival, wavefront tracking scheme

S Cao, S Greenhalgh - Geophysics, 1994 - library.seg.org
First-break traveltimes can be accurately computed by the finite-difference solution of the
eikonal equation using a new corner-node discretization scheme. It offers accuracy …

Calculating Ray Paths for First‐Arrival Travel Times Using a Topography‐Dependent Eikonal Equation Solver

T Ma, Z Zhang - Bulletin of the Seismological Society of …, 2014 - pubs.geoscienceworld.org
Irregular surfaces cause a number of problems for seismic processing and interpretation.
The problems lie in the proper treatment of topography in the first‐arrival travel‐time …

Eikonal solver in the celerity domain

L Zhang, JW Rector III… - Geophysical Journal …, 2005 - academic.oup.com
A finite-difference method for computing the first-arrival traveltimes by solving the eikonal
equation in the celerity domain has been developed. This algorithm incorporates the head …