数学
反问题
数学分析
领域(数学)
反向
曲面(拓扑)
障碍物
采样(信号处理)
几何学
计算机科学
政治学
计算机视觉
滤波器(信号处理)
法学
纯数学
作者
S. Nintcheu Fata,Bojan B. Guzina
出处
期刊:Inverse Problems
[IOP Publishing]
日期:2004-03-15
卷期号:20 (3): 713-736
被引量:74
标识
DOI:10.1088/0266-5611/20/3/005
摘要
The problem of reconstructing underground obstacles from near-field, surface seismic measurements is investigated within the framework of a linear sampling method. Although the latter approach has been the subject of mounting attention in inverse acoustics dealing with far-field wave patterns in infinite domains, there have apparently not been any attempts to apply this new method to the interpretation of near-field elastic wave forms such as those relevant to the detection of subterranean objects. Aimed at closing this gap, a three-dimensional inverse analysis of elastic waves scattered by an obstacle (or a system thereof), manifest in the surface ground motion patterns, is formulated as a linear integral equation of the first kind whose solution becomes unbounded in the exterior of the hidden scatterer. To provide a comprehensive theoretical foundation for this class of imaging solutions, generalization of the linear sampling method to near-field elastodynamics and semi-infinite domains is highlighted in terms of its key aspects. A set of numerical examples is included to illustrate the performance of the method. On replacing the featured elastodynamic half-space Green function by its free-space counterpart, the proposed study is directly applicable to infinite media as well.
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