基于傅里叶级数展开的纵波方位各向异性裂缝预测

2015年 54卷 第No. 6期
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Fracture prediction by P-wave azimuthal anisotropy based on Fourier series decomposition
(1.中国石油大学(北京)地质地球物理综合研究中心,北京102249;2.中国石油化工股份有限公司石油勘探开发研究院,北京100083;3.中国石油天然气集团东方地球物理勘探有限责任公司,河北涿州072751)
(1.Labortary for Integration of Geology & Geophysics,China University of Petroleum,Beijing 102249,China; 2.Sinopec Petroleum Exploration & Production Research Institute,Beijing 100083,China; 3.BGP,CNPC,Zhuozhou 072751,China)

利用地震反射纵波的方位各向异性信息预测地下裂缝的发育和分布情况一直是地球物理学家研究的热点课题,常规方法是使用两项Ruger线性近似公式反演得到裂缝相对密度和走向,其计算结果存在多解性且只能计算入射角较小的情况。对任意对称面各向异性介质的纵波方位各向异性弱反射系数近似公式进行整理,结合Schoenberg线性滑移理论,得到纵波方位各向异性反射系数近似公式的傅里叶级数展开公式,给出了基于傅里叶级数展开的纵波方位地震数据裂缝预测方法。将该方法应用于辽河油田雷家地区沙河街组白云岩储层的裂缝预测,并与常规各向异性反演结果及实际成像测井数据进行对比,验证了方法的有效性。研究结果表明,该方法计算简单且不受入射角度的限制,预测的裂缝相对密度与常规反演方法预测的结果精度近似,与成像测井资料吻合,故可作为传统方法的验证和补充。

The application of anisotropic information of seismic reflection wave amplitude in underground fracture development and distribution prediction has always been a hot subject in geologists’ study.The conventional method,which adopts Rugers two-term linear formula to inverse the relative density and direction of fractures,obtains non-unique solutions and can only be applied with small incidence angles.To improve the method,the approximate formula of P-wave weak reflection coefficient varying with incidence-angle and azimuth-angle in arbitrary symmetric anisotropy media was rearranged.Based on the Schoenberg’s linear slip theory,the Fourier series expansion of P-wave azimuthally anisotropic reflection coefficient approximate equation is obtained.The Fourier series expansion of P-wave seismic data with different azimuth was applied in fracture prediction.It is applied in dolomite reservoir fracture prediction in Shahejie Formation,Liaohe Oilfield.The method is proved to be effective and reliable by comparison on the results with the conventional anisotropic inversion method and actual FMI data.The study shows that the method is simple in calculation and is not limited by the range of incidence angle.Meanwhile,the prediction accuracy of fracture density is close to conventional inversion method and the result agrees well with the FMI data.

裂缝预测; 傅里叶级数; 各向异性; 沙河街组; 白云岩储层;
fracture prediction,; Fourier series,; anisotropy,; Shahejie formation,; dolomite reservoir;

中国石油天然气股份有限公司科技重大专项子课题“深层地震资料保幅处理与叠前储层描述新技术”(2014E-3204)资助。

10.3969/j.issn.1000-1441.2015.06.014