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基于稀疏冗余表示的三维地震数据随机噪声压制

Keywords: 稀疏冗余表示,三维超完备dct字典,三维地震随机噪声压制,正交匹配追踪,k-奇异值分解

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Abstract:

?传统的二维随机噪声压制方法应用于三维地震数据的随机噪声压制时,去噪效果往往不理想,为此提出基于稀疏冗余表示的压制三维地震数据随机噪声的方法.该方法在贝叶斯框架下,通过正交匹配追踪(omp)和k-奇异值分解(k-svd)不断迭代更新三维稀疏矩阵和三维超完备离散余弦变换(dct)字典,利用三维超完备dct字典作为三维地震数据的稀疏冗余表示,使三维地震数据中随机噪声得到压制.三维模拟数据和实际地震数据试算表明:与常规f-x反褶积法和k-l变换法相比,该方法既提高了三维地震数据体的信噪比,又有效地保护了地震反射信号,而且水平切片的连续性和平滑性很好,构造复杂区域的分辨率也得到提高.

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[14]  薛亚茹,陆文凯,陈小宏等.基于正交多项式变换的cmp动校正道集随机噪声压制.地球物理学进展,2009,24(1):159-163
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[16]  彭才,朱仕军,孙建库等.小波变换域kl变换及其去噪效果分析[j].石油物探.2007,46(2):112-114
[17]  pengcai,zhusijun,sunjiankuetal.k-ltransformationinwaveletconversiondomainandtheanalysisofde-noiseeffect.gpp,2007,46(2):112-114.
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