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基于二维随机震源的地震波全波形反演研究
引用本文:李小霞,魏丽君.基于二维随机震源的地震波全波形反演研究[J].数学的实践与认识,2021(1):108-115.
作者姓名:李小霞  魏丽君
作者单位:1.湖南铁道职业技术学院轨道交通智能控制学院
基金项目:湖南省教育厅科学研究优秀青年项目(19B379)。
摘    要:全波形反演利用全部的波场信息做反演求解,兼顾了地震波的运动学特征和动力学特征,是一种直接基于波动方程描述地震波在地下介质中的传播过程,能够获得地质结构和岩性资料的方法.但是作为一种非线性反演算法,如何提高全波形反演的计算速度和成像精度是目前优化反演的难点和重点.针对全波形反演的效率问题,采用分层和模块化的matlab工具箱,开展了基于随机震源的全波形反演数值计算,由于采用的方法可以给定计算节点上的多线程资源,易于编程,无需矩阵,有效的减少了外部krylov迭代的数量,并将提出的方法与常规全波形反演方法进行对比分析,证明了基于随机震源全波形反演更加高效.

关 键 词:全波形反演  非线性反演  多尺度  随机震源

Full Waveform Inversion of Seismic Wave Based on Two-Dimensional Random Source
LI Xiao-xia,WEI Li-jun.Full Waveform Inversion of Seismic Wave Based on Two-Dimensional Random Source[J].Mathematics in Practice and Theory,2021(1):108-115.
Authors:LI Xiao-xia  WEI Li-jun
Institution:(School of Intelligent Control,Hunan Railway Professional Technology College,Zhuzhou 412001,China)
Abstract:Full waveform inversion uses all wave field information to solve the inversion problem,which taking into account the kinematic and dynamic characteristics of seismic waves.It is a method to describe the propagation process of seismic waves in underground media directly based on the wave equation,and to obtain geological structure and lithologic data.However,as a non-linear inversion algorithm,how to improve the calculation speed and imaging accuracy of full waveform inversion is the difficulty and focus of the optimizing inversion.Aiming at the efficiency of full-waveform inversion,this paper uses the layered and modular matlab toolbox to implement the numerical calculation of full-waveform inversion based on the random source.Because the proposed method can give multi-threaded resources on the computing nodes,it is easy to program and does not need matrix,which effectively reduces the number of external Krylov iterations.The proposed method is compared with the conventional full waveform inversion method,which proves that the random-source-based full waveform inversion is more efficient.
Keywords:full waveform inversion  nonlinear inversion  multi-scale  random source
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