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本文针对弹性介质扩展障碍物成像问题,提出了新的单频加权弹性波逆时偏移方法.该成像函数定义为加权弹性波入射场与加权反传播波场互相关的虚部.基于弹性波Helmholtz-Kirchhoff恒等式,给出了弹性波逆时偏移方法的分辨率.该理论结果表明成像函数均为正值,因而对数据噪声具有较好的稳定性.数值算例验证了算法具有强大的成像能力以及理论的合理性.
In this paper, a new single-frequency-weighted elastic wave inverse time migration method is proposed for the problem of expanding the obstacle in elastic media. The imaging function is defined as the imaginary part of the cross-correlation between the weighted elastic wave incident field and the weighted anti-propagating wavefield. Helmholtz-Kirchhoff identities, the resolution of the elastic wave inverse time migration method is given. The theoretical results show that the imaging functions are both positive and therefore have good stability to the data noise. Numerical examples show that the algorithm has a strong Imaging ability and the rationality of theory.