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各向异性介质Low-rank有限差分法纯qP波叠前平面波最小二乘逆时偏移
引用本文:黄金强,李振春.各向异性介质Low-rank有限差分法纯qP波叠前平面波最小二乘逆时偏移[J].地球物理学报,2019,62(8):3106-3129.
作者姓名:黄金强  李振春
作者单位:1. 贵州大学资源与环境工程学院, 贵阳 550025;2. 中国石油大学(华东)地球科学与技术学院, 山东青岛, 266580
基金项目:国家重点基础研究发展计划(2014CB239006),国家油气重大专项(2016ZX05002-005-07HZ,2016ZX05006-002-003,2016ZX05014-001-008HZ),国家自然科学基金(41274124),贵州大学引进人才科研项目基金(贵大人基合字(2018)27号)联合资助.
摘    要:拟声波最小二乘逆时偏移是一种极具潜力的地震波成像工具,但该方法遭受各向异性拟声波近似的限制,TTI介质正演模拟不稳定、反偏移记录中遭受伪横波二次扰动及数值频散假象,另外拟声波最小二乘逆时偏移还面临计算效率低、收敛速度慢、对速度等模型参数依赖性高等问题.为了克服各向异性拟声波最小二乘逆时偏移的缺陷,在反演框架下,本文借助Low-rank有限差分算法首次提出并实现了TTI介质纯qP波线性正演模拟及纯qP波最小二乘逆时偏移;为了进一步提升反演成像效率,同时改善反演成像方法对模型参数误差的依赖性及对地震数据噪声的适应性,通过引入叠前平面波优化策略,发展了TTI介质纯qP波叠前平面波最小二乘逆时偏移成像方法.在编程实现方法的基础上,通过开展模型成像测试,展示了本方法的优势和潜力:一方面加快了反演成像效率,另一方面也提升了方法的抗噪性,同时还降低了方法对模型参数的依赖性.

关 键 词:各向异性介质  Low-rank有限差分  纯qP波  最小二乘逆时偏移  叠前平面波最小二乘逆时偏移  
收稿时间:2018-09-29

Least-squares reverse time migration of pure qP-wave pre-stack plane-waves based on Low-rank finite difference for anisotropic media
HUANG JinQiang,LI ZhenChun.Least-squares reverse time migration of pure qP-wave pre-stack plane-waves based on Low-rank finite difference for anisotropic media[J].Chinese Journal of Geophysics,2019,62(8):3106-3129.
Authors:HUANG JinQiang  LI ZhenChun
Institution:1. College of Resources and Environment Engineering, Guizhou University, Guiyang 550025, China;2. School of Geosciences, China University of Petroleum(East China), Shandong Qingdao 266580, China
Abstract:Least-squares reverse time migration of pseudo acoustic waves is a potential tool for seismic imaging. However,this method is limited by anisotropic pseudo acoustic wave approximation. Thus forward simulation using this tool for TTI medium is unstable and demigration records contain quadratic perturbation of pseudo SV-waves and numerically dispersion. In addition,the least-squares reverse time migration of pseudo acoustic waves also faces some problems such as low computational efficiency,slow convergence and high dependency on velocity and other model parameters.In order to overcome the drawback of this method,under the framework of inversion,this work realizes the linearized forward modeling of pure qP waves and the pure qP-wave least-squares reverse time migration for the first time by means of a Low-rank finite difference algorithm.Further,in order to speeding up the inversion efficiency,while improving the dependence of the inversion method on model parameter error and enhancing the adaptability to the seismic data noise,we develop a least-squares reverse time migration imaging method for pure-qP-wave prestack plane-waves in TTI media by introducing the prestack plane-wave optimization strategy.After implementing the algorithm by programming,the advantages and potential of this new approach are demonstrated by model imaging tests. On the one hand,the efficiency of inversion imaging is enhanced;on the other hand,the capability of anti-noise is also improved. Meanwhile,dependence of the inversion method on model parameters is lowered.
Keywords:Anisotropic media  Low-rank finite difference  Pure quasi-P-wave  Least-squares reverse time migration  Pre-stack plane-wave least-squares reverse time migration  
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