Recovery of wave speeds and density of mass across a heterogeneous smooth interface from acoustic and elastic wave reflection operators
Recovery of wave speeds and density of mass across a heterogeneous smooth interface from acoustic and elastic wave reflection operators
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DOI：
10.1007/s13137-022-00199-1
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发表时间：
2022-01
期刊：
影响因子：
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通讯作者：
Sombuddha Bhattacharyya;Maarten V. de Hoop;Vitaly Katsnelson;G. Uhlmann
中科院分区：
文献类型：
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作者：
Sombuddha Bhattacharyya;Maarten V. de Hoop;Vitaly Katsnelson;G. Uhlmann
我们重新讨论的问题，恢复波的速度和密度在弯曲的界面从反射波的振幅。在这种背景下，这种振幅已经在（勘探）地震学中使用了几十年。然而，地震学中的分析一直基于线性化和大部分平坦界面。在这里，我们提出了一个分析，没有线性化，并允许弯曲的接口，建立唯一性，并提供重建，同时使振幅的概念，通过一个程序植根于microlocal分析精确。
We revisit the problem of recovering wave speeds and density across a curved interface from reflected wave amplitudes. Such amplitudes have been exploited for decades in (exploration) seismology in this context. However, the analysis in seismology has been based on linearization and mostly flat interfaces. Here, we present an analysis without linearization and allow curved interfaces, establish uniqueness and provide a reconstruction, while making the notion of amplitude precise through a procedure rooted in microlocal analysis.