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马兴瑞, 牛玉清, 黄文虎. 二维介质参数的大扰动反演方法[J]. 力学学报, 1997, 29(2): 215-219. DOI: 10.6052/0459-1879-1997-2-1995-217
引用本文: 马兴瑞, 牛玉清, 黄文虎. 二维介质参数的大扰动反演方法[J]. 力学学报, 1997, 29(2): 215-219. DOI: 10.6052/0459-1879-1997-2-1995-217
THE LARGE PERTURBATION INVERSION METHOD ON 2 D MEDIUM PARAMETERS[J]. Chinese Journal of Theoretical and Applied Mechanics, 1997, 29(2): 215-219. DOI: 10.6052/0459-1879-1997-2-1995-217
Citation: THE LARGE PERTURBATION INVERSION METHOD ON 2 D MEDIUM PARAMETERS[J]. Chinese Journal of Theoretical and Applied Mechanics, 1997, 29(2): 215-219. DOI: 10.6052/0459-1879-1997-2-1995-217

二维介质参数的大扰动反演方法

THE LARGE PERTURBATION INVERSION METHOD ON 2 D MEDIUM PARAMETERS

  • 摘要: 对非均匀介质参数反演问题进行了研究,并提出了用于反演二维介质参数的广义射线近似方法.利用参考场量和扰动变量对声波方程中的介质参数进行处理,并利用Green函数理论得到扰动参数比的积分方程.基于非均匀介质中波函数的局部理论和射线理论,引入了全波场的广义射线近似形式,通过定义介质参数函数,把反演目标归结为其第一类Fredholm积分方程.利用积分变换方法得到二维介质的介质参数函数,从而得到介质参数,在Born近似方法中,反演的介质参数扰动不能超过20%,但是在本文中介绍的方法能够有效地反演其扰动比不超过50%的变化情况

     

    Abstract: The problem of parameter inversion in inhomogeneous medium was studied and a generalized ray approximation method to inverse 2-D medium parameters was introduced in this paper. By use of the referential variables and perturbational variables the medium parameters of wave equation were rewritten. Using the Green function theory, the integral equation of perturbational parameters was obtained. Based on the local principles of wave function in inhomogeneous medium, a generalized ray approximation form of total...

     

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