论文标题
从声学和弹性波反射算子中恢复波速和质量的密度
Recovery of wave speeds and density of mass across a heterogeneous smooth interface from acoustic and elastic wave reflection operators
论文作者
论文摘要
我们重新审视从反射波振幅中恢复弯曲界面上的波速和密度的问题。在这种情况下，（探索）地震学已经利用了这种幅度数十年。但是，地震学的分析基于线性化和大多是平坦的接口。在这里，我们提出了一个非线性分析，允许弯曲的接口，建立唯一性并提供重建，同时通过植根于微局部分析的过程使幅度精确概念精确。
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 a nonlinear analysis allowing curved interfaces, establish uniqueness and provide a reconstruction, while making the notion of amplitude precise through a procedure rooted in microlocal analysis.
