基于辛几何算法的高斯束叠前深度偏移  

Gaussian Beam Pre-Stack Depth Migration Based on Symplectic Algorithm

作　　者：李沅衡 王修田[1,2,3] 宋鹏 姜秀萍[1,2,3] 赵波 LI Yuan-Heng;WANG Xiu-Tian;SONG Peng;JIANG Xiu-Ping;ZHAO Bo(College of Marine Geo-sciences,Ocean University of China,Qingdao 266100,China;Laboratory for Marine Mineral Resource,Pilot National Laboratory for Marine Science and Technology(Qingdao),Qingdao 266237,China;Key Laboratory of Submarine Geosciences and Prospecting Techniques Ministry of Education,Qingdao 266100,China)

机构地区：[1]中国海洋大学海洋地球科学学院,山东青岛266100 [2]青岛海洋科学与技术试点国家实验室海洋矿产资源评价与探测技术功能实验室,山东青岛266237 [3]海底科学与探测技术教育部重点实验室,山东青岛266100

出　　处：《中国海洋大学学报（自然科学版）》2020年第4期95-101,共7页Periodical of Ocean University of China

基　　金：国家自然科学基金项目(41574105;41704114)资助。

摘　　要：辛几何算法是专门针对动力学过程设计的算法,以提高动力学问题求解的精度与效率。高斯束偏移过程中的运动学与动力学射线追踪,从物理上讲是一个动力学过程,可以利用辛几何算法对其进行优化。本文将基于辛几何算法的运动学射线追踪引入高斯束叠前深度偏移中,并在推导了动力学射线追踪方程组的辛差分格式基础上,实现了基于辛几何算法的高斯束叠前深度偏移。模型实验表明,基于辛几何算法的运动学射线追踪,其效率与精度相比常规算法都具有一定优势,而基于辛几何算法的高斯束叠前深度偏移方法能够对复杂构造模型精确成像。The symplectic algorithm is designed specifically for dynamic processes to improve the accuracy and efficiency of dynamic problems.The kinematic and dynamic ray tracing in the Gaussian beam migration is physically a dynamic process which can be optimized using the symplectic algorithm.This paper introduces the symplectic algorithm into Gaussian beam pre-stack depth migration.Based upon the symplectic scheme of dynamic ray tracing equation and algorithm derived,the Gaussian beam pre-stack depth migration is proposed.Numerical tests demonstrate that the kinetic ray tracing based on symplectic algorithm has certain advantages compared with conventional algorithms,and the Gaussian beam pre-stack depth migration based on symplectic algorithm can obtain the complex structure image precisely.

关 键 词：辛几何算法 射线追踪 高斯束 叠前深度偏移 

分 类 号：P631.4[天文地球—地质矿产勘探]