基于Lucy-Richardson算法和广义S变换的Q值提取  

Combined generalized S transform and Lucy-Richardson algorithm for Q-value extraction

作　　者：李波 文晓涛[1,2] 张懿疆[1,2] 何健 黄伟 LI Bo;WEN Xiaotao;ZHANG Yijiang;HE Jian;HUANG Wei(College of Geophysics,Chengdu University of Technology,Chengdu 610059,China;State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation,Chengdu University of Technology,Chengdu 610059,China)

机构地区：[1]成都理工大学地球物理学院,四川成都610059 [2]成都理工大学油气藏地质及开发工程重点实验室,四川成都610059

出　　处：《石油物探》2019年第5期689-699,708,共12页Geophysical Prospecting For Petroleum

基　　金：国家自然科学基金“基于频变信息的流体识别及流体可动性预测(41774142)”国家自然科学基金联合基金“深层碳酸盐储层流体地震预测理论与方法(U1562111)”共同资助~~

摘　　要：品质因子Q能够定量衡量地震波的衰减。当地层厚度较薄时,常规的时频分析方法很难满足Q值估计的精度要求,其稳定性差。为此,将Lucy-Richardson算法与广义S变换相结合,推导出了新的谱比法品质因子估算公式。该方法引入高斯窗函数的尺度调节因子λ和p调节时窗函数的宽度和幅值,将广义S时频谱与高斯窗的Wigner-Ville分布代入Lucy-Richardson算法中,再利用对数谱比值与一个新定义的参数γ进行拟合,得到Q值。利用复杂模拟信号验证了Lucy-Richardson算法广义S变换的分辨率及聚集性,然后利用粘弹性层状模型进一步验证了该方法提取Q值的准确性。实际地震资料的应用结果表明,基于Lucy-Richardson算法广义S变换提取的Q值能准确区分含油气区域和围岩,与井资料吻合良好。The Q factor can quantitatively measure the attenuation of seismic waves.However,challenges arise when the layer is thin and conventional time-frequency analysis is not able to meet the requirements of accurate Q estimation.In this study,the Lucy-Richardson algorithm and generalized S-transform are combined to derive a new formula for estimating the quality of the spectral ratio method.First,this method introduces the width and amplitude of the time window function of the parametersλand p.Then,it substitutes the generalized S-time spectrum and the Wigner-Ville distribution of the Gaussian window into the Lucy-Richardson algorithm and uses the logarithmic spectral ratio to fit the parameters and obtain the Q value.Finally,the resolution and aggregation of the combined Lucy-Richardson algorithm and generalized S transform were verified by constructing complex analog signals.The accuracy of the Q value extraction using the proposed method was verified with a viscoelastic layered model.The results of application to actual seismic data show that the Q value obtained using the proposed method can accurately distinguish the oil-bearing area from surrounding rock,which is in good agreement with well data.

关 键 词：品质因子 Lucy-Richardson算法 广义S变换 谱比法 WIGNER-VILLE分布 时频分析 含油气区域 

分 类 号：P631[天文地球—地质矿产勘探]