石油地球物理勘探2023，Vol.58Issue(6)：1423-1435,13.DOI:10.13810/j.cnki.issn.1000-7210.2023.06.014
基于不同阶次泰勒级数展开的含非本征衰减频域振幅比平均的Q值估计方法
Amplitude ratio average method in frequency domain for Q estimation of extrinsic attenuation based on Taylor series expansion with different orders
摘要
Abstract
In the actual quality factor Q estimation,it is prone to have a large estimation error due to factors such as frequency band selection,wavelet superposition,noise interference,and extrinsic attenuation.Thus,the amplitude ratio average method in the frequency domain(FARA)for Q estimation based on Taylor series expansion with dif-ferent orders considering extrinsic attenuation is presented.Firstly,the continuous multiplication of the amplitude ra-tio in the reference frequency band is utilized to eliminate the effect of extrinsic attenuation.Then,based on the lst-4th order Taylor series expansion expression of the amplitude factor at the reference frequency point,the single fre-quency point Q estimation formula for the seismic records with extrinsic attenuation is derived.Secondly,the combi-nation of high and low reference frequency bands is adopted to weaken the impact of reference frequency bands.Fi-nally,the average processing of all frequency points average in dominant frequency bands is leveraged to improve the algorithm's stability.The model test shows that the combination of high and low reference frequency bands can significantly improve the Q estimation accuracy of this method,and the proposed method is less sensitive to the time difference,time window,and noise interference than the logarithmic spectral area double difference(LSADD)method.The example application shows that the Q value estimated by the FARA method with different orders has good consistency,with greater overall Q value than that of the LSADD method.This is consistent with the model test results,indicating that the Q value estimated by the FARA method is more reliable.关键词
Q值估计/非本征衰减/泰勒级数展开/振幅谱/FARA法Key words
Q estimation/extrinsic attenuation/Taylor series expansion/amplitude spectrum/FARA method分类
地质学引用本文复制引用
张瑾,王彦国,兰慧田,张国书,潘耶莉..基于不同阶次泰勒级数展开的含非本征衰减频域振幅比平均的Q值估计方法[J].石油地球物理勘探,2023,58(6):1423-1435,13.基金项目
本项研究受江西省自然科学基金项目"基于方向tilt梯度张量的三维磁异常解释方法研究"(20212BAB203005)、江西省教育厅项目"基于地震波品质因子估计及能量补偿的二连盆地砂岩型铀矿地质结构精细研究"(GJJ2200707)、江西省重点研发计划项目"偶极场聚变物理装置设计及技术可行性研究"(20192ACB8006)及江西省防震减灾与工程地质灾害探测工程研究中心开放基金资助项目"基于地层吸收特性估计及补偿的城市地下空洞隐伏灾害探测技术研究"(SDGD202206)联合资助. （20212BAB203005）
