通过相关检测wave front集合扰动：波动方程层析成像的基础
Detection of wave front set perturbations via correlation: Foundation for wave-equation tomography
摘要：
我们讨论了波场测量的数学方面用于旅行时反演地震记录。假定波前集携带介质的基本信息，并估计其对假想背景介质的扰动。通过理论分析，提出了一种基于波场相关优化的扰动检测方法。我们调查它的理论基础，在简单的数学案例研究中使用的分布理论定义的振荡积分。
英文摘要：
We discuss the mathematical aspects of wave field measurements used in traveltime inversion from seismograms. The primary information about the medium is assumed to be carried by the wave front set and its perturbation with repsect to a hypothetical background medium is to be estimated. By a convincing heuristics a detection procedure for this perturbation was proposed based on optimization of wave field correlations. We investigate its theoretical foundation in simple mathematical case studies using the distribution theoretic definition of oscillatory integrals.
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