角度域广义Radon变换多参数非迭代线性反演  

Multi-parameter non-iterative linearized inversion using angle-domain generalized Radon transform

作　　者：栗学磊 魏彦杰[1] 欧阳威 LI XueLei;WEI YanJie;OUYANG Wei(Shenzhen Institute of Advanced Technology,Chinese Academy of Sciences,Shenzhen 518055,China;Innovation Academy for Precision Measurement Science and Technology,Chinese Academy of Sciences,Wuhan 430077,China)

机构地区：[1]中国科学院深圳先进技术研究院,深圳518055 [2]中国科学院精密测量科学与技术创新研究院,武汉430077

出　　处：《地球物理学报》2023年第1期383-400,共18页Chinese Journal of Geophysics

基　　金：国家重点研发计划项目(2018YFB0204403);中国科学院战略重点项目(XDB38000000);国家自然科学基金(41804128,U1813203);深圳市基础研究基金(JCYJ20200109114818703,RCYX2020071411473419,JSGG20201102163800001);中国科学院重点实验室(2011DP173015(YW))联合资助.

摘　　要：基于Born近似的线性反演是当前流行的定量化地震成像与反演方法,然而,现有线性反演方法存在多种不可避免的问题,比如迭代计算成本过高,背景模型依赖,以及多参数提取不确定/不稳定.为避免这些问题,本文提出了角度域广义Radon变换(AD-GRT)多参数非迭代反演方法(2D声波双参数介质).AD-GRT是一种地震数据与角度域模型之间的积分变换,该角度域模型能够保留地震散射数据的完整信息.基于该角度域模型,地震数据可被精确重建,即使背景模型是错误的.介质双扰动参数可在角度域模型中准确且稳定提取.为解决传统角度域离散方法存在的幅值震荡和不连续问题,设计了两种有效的角度域离散单元分裂方法,实现了平滑连续的角度域幅值提取.为提高AD-GRT反演的分辨率,考虑了震源子波反滤波.利用三个数值模型验证了AD-GRT在角度域模型反演、数据重建、多参数提取方面的有效性.Linearized inversion algorithms based on the Born approximation are popular quantitative seismic imaging and inversion methods.However,there are many inevitable problems,such as the expensive computational cost due to the iteration,the requirement for correct background models,and the uncertain and unstable multi-parameter extraction.To avoid these problems,an Angle-Domain Generalized Radon Transform(AD-GRT)multi-parameter non-iterative inversion method in 2D acoustic media is proposed in this paper.The AD-GRT is an integral transform between the seismic data and an angle-domain model.Based on the angle-domain model,seismic data can be accurately reconstructed,even when the background model is incorrect.The double disturbance parameters of acoustic media can be accurately and stably extracted from the angle-domain model.In order to solve the problem of the amplitude oscillation and discontinuity in the traditional angle-domain discrete method,we design two effective angle-domain discrete unit splitting methods to achieve smooth and continuous angle-domain amplitude extraction.To improve the resolution of the AD-GRT inversion,inverse filtering of source wavelet is considered.Three numerical examples are used to verify the effectiveness of the proposed AD-GRT in the angle-domain model inversion,data reconstruction,and multi-parameter extraction.

关 键 词：广义Radon变换 角度域 非迭代 多参数反演 数据重建 

分 类 号：P631[天文地球—地质矿产勘探]