双极子分解匹配追踪算法在薄层反演中的应用
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摘要
匹配追踪算法在地震谱分解、时频分析及薄层反演等领域有广泛的应用。本文利用双极子分解理论建立过完备奇、偶原子库,再通过匹配追踪算法对地震信号进行稀疏分解,以实现薄层反射位置及反射强度的反演。模型试算及对实际数据的运算结果都表明:与传统匹配追踪算法相比,双极子分解匹配追踪算法对地震信号有更高的分解精度,且具有较好的抗噪性。
Matching pursuit has a wide range of applica-tions in seismic spectrum decomposition,the timefrequency analysis,and thin-bed inversion. We propose in this paper a new matching pursuit approach based on dipole decomposition. We first build an over complete odd and even atomic dictionary based on the theory of dipole decomposition,and then decompose sparsely seismic signals by the matching pursuit in order to achieve thinbed inversion of seismic reflection.Both model and real data tests show that the matching pursuit based on dipole decomposition has higher decomposition precision and better noise immunity than conventional matching pursuit methods.
引文
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