SIAM Journal on Scientific Computing, Volume 43, Issue 2, Page B271-B297, January 2021.
We consider the problem of imaging a crack network embedded in some homogeneous background from measured multistatic far field data generated by acoustic plane waves. We propose two novel approaches that can be seen as extensions of linear sampling-type methods and that provide indicator functions which are sensitive to local cracks densities. The first approach uses multiple frequencies data to compute spectral signatures associated with artificially embedded localized obstacles. The second approach also exploits the idea of incorporating an artificial background but uses data for a single frequency. The indicator function is built using a similar concept as for differential sampling methods: compare the solution of the interior transmission problem for healthy inclusion with the one with embedded cracks. The performance of the methods is tested and discussed on synthetic examples and the numerical results are compared with the ones obtained using the classical factorization method.

中文翻译：

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利用声波成像裂纹网络的定性指标功能

SIAM科学计算杂志，第43卷，第2期，第B271-B297页，2021年1月。
我们考虑从声平面波产生的测得的多静态远场数据中对嵌入某些均匀背景中的裂缝网络进行成像的问题。我们提出了两种新颖的方法，这些方法可以看作是线性采样类型方法的扩展，并且提供了对局部裂纹密度敏感的指标功能。第一种方法使用多个频率数据来计算与人工嵌入的局部障碍物关联的频谱特征。第二种方法还利用了合并人工背景的想法，但是使用单个频率的数据。指示器功能的构建与差分采样方法的概念类似：将内部传播问题的解决方案与健康嵌入的问题进行比较，并将其与存在裂缝的问题进行比较。