A 3D Ray Tracing Method Based on B-Spline Traveltime Interpolation
详细信息
- 责任者：Zhang Dong (School of Physics and Technology ; Wuhan University ; Wuhan 430072 ; China) ; Zhang Tingting
- 刊名：Oil Geophysical Prospecting
- 出版年：2013
- 卷期：48(4)
- 关键词：三维地震法 ; three-dimensional seismic methods ; 射线追踪 ; ray tracing
- 页码：p.559-566
- 图表：13 illus., 20 refs.
- 分类号：1600
- issnNo：ISSN1000-7210
- isbnNo：CN13-1095/TE
摘要
Grid dissection of computational areas in conventional 3-D seismic ray tracing algorithms always lead to some zigzags and unexpected mergence in ray paths which may bring lower precision to calculation.To solve these problems,a new ray tracing scheme based on B-spline interpolation in backward step is presented in this paper.We calculate traveltime at any point in the area by cubic B-spline interpolation,and then get the field of traveltime gradient.According to the Fermat’s principle,the ray path is always perpendicular to the wavefront which is the same of the negative traveltime gradient.First arrival ray path then can be traced from receiver point to source point along the negative gradient step by step.Since the traveltime field reconstructed by cubic B-spline interpolation is continuous and smooth,the tracing step-size has no limitation of the grid size,and the tracing error introduced by area discretization can be reduced obviously.The results of two experimental models revealed the improvement in precision and efficiency of the new algorithm.And less convergence error can also be reached when the new algorithm is applied to forward modeling for seismic traveltime tomography.
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