论文标题
来自声学记录的弹性散射器位置的时间逆转
Time Reversal for elastic scatterer location from Acoustic Recording
论文作者
论文摘要
本文的目的是研究在声学介质中记录的数据中,在非均匀弹性介质中的时间反转方法的可行性。我们旨在从部分孔径边界测量值确定弹性未知“包含”的存在和某些物理特性,即位于弹性介质中的可观察到的固体对象。我们首先得出了声音弹性问题的各种公式,从中,人们构建了一种时间依赖的有限元方法来求解前进,然后时间逆转问题。然后提出了从反向时间迁移框架得出的几个标准,以构建包含物的图像并确定其位置。还研究了该方法对几个参数的依赖性/敏感性(孔径,源数等)。特别是,可以表明一个人可以区分良性和恶性的紧密包含。该技术对数据中的噪声不敏感。
The aim of this paper is to study the feasibility of time-reversal methods in a non homogeneous elastic medium, from data recorded in an acoustic medium. We aim to determine, from partial aperture boundary measurements, the presence and some physical properties of elastic unknown "inclusions", i.e. not observable solid objects, located in the elastic medium. We first derive a variational formulation of the acousto-elastic problem, from which one constructs a time-dependent finite element method to solve the forward, and then, the time reversed problem. Several criteria, derived from the reverse time migration framework, are then proposed to construct images of the inclusions, and to determine their locations. The dependence/sensitivity of the approach to several parameters (aperture, number of sources, etc.) is also investigated. In particular, it is shown that one can differentiate between a benign and malignant close inclusions. This technique is fairly insensitive to noise in the data.