On the full-waveform inversion of Lamé parameters in semi-infinite solids in plane strain
On the full-waveform inversion of Lamé parameters in semi-infinite solids in plane strain
复制标题
平面应变半无限固体Lamé参数的全波形反演
DOI：
10.1016/j.ijsolstr.2019.01.019
复制
发表时间：
2019
影响因子：
3.6
通讯作者：
L. Kallivokas
中科院分区：
文献类型：
--
作者：
Sezgin Kucukcoban;H. Goh;L. Kallivokas
我们关注的是在时域用弹性波探测半无限、任意非均质固体时空间变化的lam<s:1>参数的成像。我们使用全波形反演方法来解决反介质问题，并在受控制偏微分方程约束的情况下，寻求使测量和计算响应之间的不拟合最小化的lam<s:1>分布。通常情况下，第二个lam<s:1>参数（μ）的反向轮廓比第一个lam<s:1>参数（λ）的质量更好。为了提高这两个lam<s:1>参数的分辨率，我们讨论了三种鲁棒方案的使用，即源频率延拓、正则化因子延拓和搜索方向偏置方案。我们通过数值实验证明了这些方案对反演过程的影响，并最后将鲁棒全波形方法应用于Marmousi2模型的具有挑战性的自适应。
We are concerned with imaging the spatially varying Lamé parameters of semi-infinite, arbitrarily heterogeneous solids, when probed by elastic waves in the time domain. We use a full-waveform inversion approach to tackle the inverse medium problem, and seek the Lamé distributions that minimize the misfit between measured and computed responses, subject to the governing PDEs. As is commonly the case, the resulting inverted profiles of the second Lamé parameter (μ) are of better quality than those of the first (λ). To improve the resolution of both Lamé parameters, we discuss the use of three robustifying schemes, namely, source-frequency continuation, regularization factor continuation, and a search direction-biasing scheme. We demonstrate with numerical experiments the effect the schemes have on the inversion process and conclude with an application of the robustified full-waveform method to a challenging adaptation of the Marmousi2 model.