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高效ARMA模型高分辨率地震子波提取方法
引用本文:张亚南,戴永寿,王少水,彭星,牛慧.高效ARMA模型高分辨率地震子波提取方法[J].石油地球物理勘探,2011(5).
作者姓名:张亚南  戴永寿  王少水  彭星  牛慧
作者单位:中国石油大学(华东)信息与控制工程学院;中国电子科技集团公司第四十一研究所;
基金项目:国家自然科学基金项目(40974072); 山东省自然科学基金项目(ZR2010DM14)联合资助
摘    要:ARMA模型的最大优点是用较少的参数描述一个精确的子波,超定阶容易造成计算量大、运算速度慢,欠定阶不能满足精确子波描述的要求。针对高阶累积量对特殊切片敏感,且在短时数据下应用效果差的问题,本文采用基于自相关函数的奇异值分解(SVD)法确定AR模型阶数,同时将信息量准则法与高阶累积量法相结合,提出了一种新的MA模型定阶法。数值仿真和实际地震数据处理结果均表明,本文所用方法可有效地压制加性高斯色噪声,信息量准则法可有效提高MA定阶的准确率,在保证子波精度的同时尽可能降低模型阶数,实现运算高效率。

关 键 词:地震子波  高阶累积量  自回归滑动平均(ARMA)  奇异值分解(SVD)  信息量准则  

High resolution wavelet estimation by ARMA modeling
Zhang Ya-nan,Dai Yong-shou,Wang Shao-shui,Peng Xing , Niu Hui..College of Information , Control Engineering,China University of Petroleum,Dongying,Sh,ong ,China.High resolution wavelet estimation by ARMA modeling[J].Oil Geophysical Prospecting,2011(5).
Authors:Zhang Ya-nan  Dai Yong-shou  Wang Shao-shui  Peng Xing  Niu HuiCollege of Information  Control Engineering  China University of Petroleum  Dongying  Sh  ong  China
Affiliation:Zhang Ya-nan1,Dai Yong-shou1,Wang Shao-shui2,Peng Xing1 and Niu Hui1.1.College of Information and Control Engineering,China University of Petroleum(East China),Dongying,Shandong 257061,China2.The 41st Institute of China Electronics Technology Group Corporation,Qingdao,Shandong 266555,China
Abstract:The most importantly advantage of ARMA(autoregressive moving average) model is to describe an exact wavelet with fewer parameters.Order over-determination easily leads to large calculation costs while order under-determination cannot meet the wavelet requirements.Higher-order cumulants are sensitive to special slices and it causes poor results with short time data series.This paper focuses on the model order determination.Singular value decomposition(SVD) based on autocorrelation function is exploded to det...
Keywords:seismic wavelet  higher-order cumulant  ARMA(autoregressive moving average)  SVD(singular value decomposition)  information theoretic criteria  
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