PARAMETRIC INVERSION OF VISCOELASTIC MEDIA WITH HOMOTOPY METHOD
PARAMETRIC INVERSION OF VISCOELASTIC MEDIA WITH HOMOTOPY METHOD
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发表时间：
2006
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通讯作者：
Sun Weiming
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作者：
Sun Weiming
从粘弹性介质的时域动力响应中反演其物理参数，这比准静态运动或频域响应包含更多的信息。此外，时间域上的运动易于测量，反演结果合理、实用。根据动力响应的计算值与实测值相拟合的原则，将粘弹性介质中的参数反演问题归结为一个非线性零方程问题，采用具有宽收敛性的同伦方法求解。它是新近发展起来的解决非线性问题的强有力的工具。将该方法用于三维半空间粘弹性介质的材料参数反演。数值结果表明，同伦方法几乎不依赖于初值，对粘弹性参数的动态识别问题具有较高的精度和有效性。
The physical parameters of viscoelastic media from their dynamic responses in time domain are inversed,which include more information than the quasi-static movement or response in frequency domain. Moreover,the movement in time domain is easy to measure;and the inversed results are reasonable and practicable. According to principle that the computed and measured dynamic responses should be fitted,the parametric inversion problem in viscoelastic media is deduced to solve a problem of nonlinear zero-equation by the homotopy method with wide convergence. It is a newly developed powerful device for solving nonlinear problem. This method is used to inverse material parameters of 3D halfspace viscoelastic media. Numerical results show that the homotopy method is nearly independent of the original value;and the method has high accuracy and validity for the dynamical identification problems of viscoelastic parameters.