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- W2017353103 abstract "Journal of Computational AcousticsVol. 09, No. 03, pp. 1095-1109 (2001) ICTCA'99 PapersNo AccessA HIGH-ORDER FAST MARCHING SCHEME FOR THE LINEARIZED EIKONAL EQUATIONJONATHAN B. FRANKLIN and JERRY M. HARRISJONATHAN B. FRANKLINStanford University, Mitchell Building Rm. 453B, 397 Panama Mall, Stanford, CA 94305, USA Search for more papers by this author and JERRY M. HARRISStanford University, Mitchell Building Rm. 321, 397 Panama Mall, Stanford, CA 94305, USA Search for more papers by this author https://doi.org/10.1142/S0218396X01000784Cited by:11 PreviousNext AboutSectionsPDF/EPUB ToolsAdd to favoritesDownload CitationsTrack CitationsRecommend to Library ShareShare onFacebookTwitterLinked InRedditEmail AbstractWe present a high-order upwind finite-difference scheme for solving a useful family of first-order partial differential equations, of which the linearized eikonal equation is a member. Fast solutions of the linearized eikonal equation have applications in traveltime tomography and residual migration algorithms. The technique, besides being both accurate and stable, escapes aperture limitations inherent in static marching schemes. We use a time-sequential evaluation method similar to Sethian's Fast Marching strategy to insure causal operator evaluation. We apply our technique to several complex slowness distributions, including the Marmousi model. We also use an adaptation of our technique to compute Cartesian-to-Ray coordinate transforms for the same slowness models.Presented at ICTCA'99, the 4th International Conference on Theoretical and Computational Acoustics, May 1999, Trieste, Italy. FiguresReferencesRelatedDetailsCited By 11Optimization method of first-arrival waveform inversion based on the L-BFGS algorithmZhang Kai, Xu Xin, Liu Hong-Xing, Xu Yi-Peng and Li Zhen-Chun et al.2 May 2022 | Applied Geophysics, Vol. 18, No. 4Numerical solutions for point-source high frequency Helmholtz equation through efficient time propagators for Schrödinger equationMatthew Jacobs and Songting Luo1 Aug 2021 | Journal of Computational Physics, Vol. 438Finite-difference solution of linearized eikonal equation for transversely isotropic mediaYogesh Arora and Ilya Tsvankin10 August 2019High-performance 3D first arrival traveltime tomography with upwind finite differences and shaping regularizationPengcheng Ding, Yang Guoquan, Zhenchun Li and Kai Zhang1 September 2016Technical Program in full - Part II (RC 1 - VSP P1)1 September 2016Seismic Velocity Estimation Complete Session1 September 2016Stratigraphic coordinates: a coordinate system tailored to seismic interpretationParvaneh Karimi and Sergey Fomel23 March 2015 | Geophysical Prospecting, Vol. 63, No. 5Fast Huygens’ sweeping methods for multiarrival Green’s functions of Helmholtz equations in the high-frequency regimeJianliang Qian, Songting Luo and Robert Burridge1 Mar 2015 | GEOPHYSICS, Vol. 80, No. 2First-break traveltime tomography with the double-square-root eikonal equationSiwei Li, Alexander Vladimirsky and Sergey Fomel1 Nov 2013 | GEOPHYSICS, Vol. 78, No. 6Kirchhoff migration using eikonal-based computation of traveltime source derivativesSiwei Li and Sergey Fomel1 Jul 2013 | GEOPHYSICS, Vol. 78, No. 4Higher-order schemes for 3D first-arrival traveltimes and amplitudesSongting Luo, Jianliang Qian and Hongkai Zhao1 Mar 2012 | GEOPHYSICS, Vol. 77, No. 2 Recommended Vol. 09, No. 03 Metrics History Received 14 July 1999 Revised 10 April 2000 PDF download" @default.
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- W2017353103 title "A High-Order Fast Marching Scheme for the Linearized Eikonal Equation" @default.
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