基于辛几何逆时偏移成像的结构无损检测技术
详细信息 本馆镜像全文    |  推荐本文 | | 获取馆网全文
摘要
为了提高时域逆时偏移成像的计算精度,基于辛几何算法能获得半解析解精度结果的特点,结合逆时偏移成像条件构建了时域辛几何逆时偏移成像算法.首先,用有限元软件建立含缺陷结构和未知缺陷结构的有限元离散模型,然后用勒让德变换将二阶微分方程组变换成保辛的一阶微分方程组,用精细积分方法求解该一阶微分方程组;最后,基于逆时偏移成像条件,通过偏移叠加算法获得含缺陷结构的成像结果.结果表明,成像结果与预设缺陷吻合良好,该方法可以精确地检测出结构内部的缺陷.
In order to improve the calculation accuracy of timedomain reverse-time migration imaging, based on the characteristics of semi-analytical solution precision results of the symplectic geometric algorithm,we build the reverse-time migration imaging algorithm based on time-domain symplectic geometry combination of reverse-time migration imaging conditions.First of all,we establish finite element discrete model of a structure containing defects and an unknown defect structure by using finite element software,and put the second order differential equations into the first order differential equations with Legendre transformation,and then solve the first-order differential equations with the precise integration method;Finally,we obtain the imaging results of the structure containing defects with the imaging condition of reverse-time migration and migration stack algorithm.The results show that the imaging results are in good agreement with those obtained with the default defect,the method can accurately detect the defects within the structure.
引文
Chen J B,Qin M Z.2001.Ray tracing、symplectic algorithms and wave field simulation[J].Chinese Journal of Computational Physics(in Chinese),18(6):481-486.
    Li Z D,Xu T X.2006.Reduction of infinite dimensional equations[J].Electronic Journal of Differential Equations,17:1-15.
    Liu L N,liu H,Li Y M,et al.2002.Methodology and application for 3Dwave-equation Symplectic Prestack depth migration[J].Journal of the Graduate School of the Chinese Academy of Sciences(in Chinese),19(2):134-140.
    Luo M Q,liu H,Li Y M.2001.Hamiltonian description and symplecticmethod of seismic wave propagation[J].Chinese Journal of Geophysics(in Chinese),44(1):120-128.
    Ma J W Yang H Z.2004.Multiresolution symplectic scheme for wave propagation in complex media[J].Applied Mathematics and Mechanics(in Chinese),25(5):523-528.
    Qin M Z,Chen J B.2000.Maslov asymptotic theory and symplectic algorithm[J].Chinese Journal of Geophysics(in Chinese),43(4):522-533.
    Xue D C.2013.Imaging condition comparison of prestack reversetime migration[J].Oil Geophysical Prospecting(in Chinese),48(2):222-227.
    Zhang E H,Fan X C,Song Y Z,et al.2002.The reality for 3d wave-equation sympletic prestack depth migration on linux Pccluster[J].Computing Techniques for Geophysical and Geochemical Exploration(in Chinese),24(3):193-198.
    Zhang R Y,Wang Z,Sun C P.2008.The Concrete Quality Control and Testing Technology(in Chinese)[M].Beijing:Chemical Industry Press.
    Zhong W X,Williams F W.1994.A precise time step integration method[J].Journal of Mechanical Engineering Science,208(6):427-430.
    陈景波,秦孟兆.2001.射线追踪、辛几何算法与波场的数值模拟[J].计算物理,18(6):481-486.
    刘礼农,刘洪,李幼铭,等.2002.波动方程辛几何算法三维叠前深度偏移流程及应用[J].中国科学院研究生院学报,19(2):134-140.
    罗明秋,刘洪,李幼铭.2001.地震波传播的哈密顿表述及辛几何算法[J].地球物理学报,44(1):120-128.
    马坚伟,杨慧珠.2004.多尺度辛格式求解复杂介质波传问题[J].应用数学和力学,25(5):523-528.
    秦孟兆,陈景波.2000.Maslov渐近理论与辛几何算法[J].地球物理学报,43(4):522-533.
    薛东川.2013.几种叠前逆时偏移成像条件的比较[J].石油地球物理勘探,48(2):222-227.
    张尔华,范兴才,宋永忠,等.2002.波动方程辛几何算法三维叠前深度偏移在集群式并行机上的实现[J].物探化探计算技术,24(3):193-198.
    张仁瑜,王征,孙盛佩.2008.混凝土质量控制与检测技术[M].北京:化学工业出版社.

版权所有:© 2023 中国地质图书馆 中国地质调查局地学文献中心