各向异性介质中频率相关横波分裂参数的提取算法(英文)

Algebraic processing technique for extracting frequency-dependent shear-wave splitting parameters in an anisotropic medium

基于曾新吾和MacBeth提出的时域内双源累积旋转方法,建立了频率相关介质中分析多分量VSP数据的横波分裂参数提取算法(DCTF)。该算法可以在频域中针对单个频率提取横波各向异性参数(快横波的极化方向以及快、慢横波间的时间差),从而避免了目前常用方法中使用窄带通滤波可能带来的误差。通过对地震合成记录的数值分析,确定了该算法的可行性和正确性,并与目前常用方法的应用结果进行了比较。结果显示,频率相关横波分裂参数可以利用DCTF从地震四分量数据中直接提取。在地震频率范围内,含较大尺度裂缝时各向异性参数将表现出频率相关性,这意味着在地震频率范围会出现频散。随着频率的增加,各向异性有降低的趋势。

Based on the dual source cumulative rotation technique in the time-domain proposed by Zeng and MacBeth（1993）,a new algebraic processing technique for extracting shear-wave splitting parameters from multi-component VSP data in frequency-dependent medium has been developed.By using this dual source cumulative rotation technique in the frequency-domain（DCTF）,anisotropic parameters,including polarization direction of the shear-waves and timedelay between the fast and slow shear-waves,can be estimated for each frequency component in the frequency domain.It avoids the possible error which comes from using a narrow-band filter in the current commonly used method.By using synthetic seismograms,the feasibility and validity of the technique was tested and a comparison with the currently used method was also given.The results demonstrate that the shear-wave splitting parameters frequency dependence can be extracted directly from four-component seismic data using the DCTF.In the presence of larger scale fractures,substantial frequency dependence would be found in the seismic frequency range,which implies that dispersion would occur at seismic frequencies.Our study shows that shear-wave anisotropy decreases as frequency increases.