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Finite-difference calculation of traveltimes based on rectangular grid

李振春 刘玉莲 张建磊 马在田 王华忠

地震学报(英文版)2004,Vol.17Issue(6):707-714,8.
地震学报(英文版)2004,Vol.17Issue(6):707-714,8.

Finite-difference calculation of traveltimes based on rectangular grid

Finite-difference calculation of traveltimes based on rectangular grid

李振春 1刘玉莲 1张建磊 1马在田 2王华忠2

作者信息

  • 1. College of Earth Resources and Information, University of Petroleum, Dongying 257061, China
  • 2. College of Marine and Earth Science, Tongji University, Shanghai 200092, China
  • 折叠

摘要

Abstract

To the most of velocity fields, the traveltimes of the first break that seismic waves propagate along rays can be computed on a 2-D or 3-D numerical grid by finite-difference extrapolation. Under ensuring accuracy, to improve calculating efficiency and adaptability, the calculation method of first-arrival traveltime of finite-difference is derived based on any rectangular grid and a local plane wavefront approximation. In addition, head waves and scattering waves are properly treated and shadow and caustic zones cannot be encountered, which appear in traditional ray-tracing. The testes of two simple models and the complex Marmousi model show that the method has higher accuracy and adaptability to complex structure with strong vertical and lateral velocity variation, and Kirchhoff prestack depth migration based on this method can basically achieve the position imaging effects of wave equation prestack depth migration in major structures and targets. Because of not taking account of the later arrivals energy, the effect of its amplitude preservation is worse than that by wave equation method, but its computing efficiency is higher than that by total Green's function method and wave equation method.

关键词

finite-difference/eikonal equation/first-arrival traveltime/rectangular grid/Kirchhoff prestack depth migration/Marmousi model

Key words

finite-difference/eikonal equation/first-arrival traveltime/rectangular grid/Kirchhoff prestack depth migration/Marmousi model

分类

天文与地球科学

引用本文复制引用

李振春,刘玉莲,张建磊,马在田,王华忠..Finite-difference calculation of traveltimes based on rectangular grid[J].地震学报(英文版),2004,17(6):707-714,8.

基金项目

National Natural Science Foundation of China (49894190-024) and Geophysical Prospecting Key Laboratory Foundation of China National Petroleum Corporation. (49894190-024)

地震学报(英文版)

1000-9116

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