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A JOINT INVERSION ALGORITHM FOR THIN LAYER IDENTIFICATION USING CEPSTRUM

Abstract

为解决层状介质探地雷达信号频率域反演算法中存在薄层识别问题,提出一种利用倒频谱辨别薄层的联合反演算法。为了可以在没有任何先验信息的前提下,对地下薄层进行识别,引入了新的实(虚)部倒频谱,这两种倒频谱上的峰值对应地下各反射面。通过将反射系数序列频谱的虚部进行相位移动,并将结果与实部相加后,计算两者之和的倒频谱。将两者之和倒频谱上的峰值与实(虚)部倒频谱峰值进行对比,可以判断该峰值位置是否存在薄层,从而可为谱反演算法提供正确的反射面位置信息。A joint inversion method using cepstrum was presented for solving thin layers recognition problem in the frequency-domain inversion algorithm of layered media.In the case of lack of any priori information,it is possible to use true-ficnitious cepstra method to recognizing thin layers,for the quefrency peaks indicate reflection interfaces.The opperating steps are as the followings:( 1) moving the phase of the ficnitious part in the spectrum of the coefficient series.( 2) adding the results to the real part of the spectrum and calculating the cepstrum of sum.( 3) comparing the quefrency spikes on the cepstrum of the sum with that of true-ficnitious cepstrum.Thus,one can detemines if the spike represents a thin layer.贵州省教育厅自然科学基金(20090035

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