石油物探2012，Vol.51Issue(4)：338-342,5.DOI:10.3969/j.issn.1000-1441.2012.04.003
射线中心坐标系中傍轴单程波方程数值模拟与偏移成像
Simulation and imaging with paraxial one-way wave equation in ray-centered coordinates
摘要
Abstract
Prestack depth migration methods include two categories. One is kirchhoff method based on high-frequency approximate solution of wave equation, the other is differential method based on the finite difference solution or mixed-domain solution of wave equation. Gaussian beam method is between them and is used for wave propagation chracterization and imaging. The problem of Gaussian beam method is that too many approximations are introduced when characterizing the wave propagation in the ray-centered coordinates. In addition to high-frequency approximation, the amplitudes of wave field whose plane is perpendicular to any point of the ray path is merely derived from the amplitude Gauss attenuation of that point, which is too simple to characterize the complex wave phenomena. Therefore, we derived the one-way wave equation in ray-centered coordinates and used the equation to extrapolate wave field in ray beam to accurately characterize local wave field. The method preserves the flexibility of ray method and the accuracy of wave equation methpd to describe the wave field within certain ray beams. Compared with simple ray theory and complex wave equation theory, the method makes a compromise between the flexibility and accuracy. It can be used to complex subsurface structure imaging and tomography velocity estimation more conveniently. Numerical examples demonstrate the correctness of the method.关键词
射线中心坐标系/高斯束/传统单程波方程/傍轴单程波Key words
ray-centered coordinates/ Gaussian beam/ traditional one-way wave equation/ paraxial one-way wave分类
天文与地球科学引用本文复制引用
程磊磊,王华忠,刘少勇..射线中心坐标系中傍轴单程波方程数值模拟与偏移成像[J].石油物探,2012,51(4):338-342,5.基金项目
国家重点基础研究发展计划(973)项目(2011CB202402)、国家科技重大专项(2008ZX05005-005-007HZ,2008ZX05023-005-016)共同资助. （973）
