Kelvin-Voigt黏弹介质地震波衰减影响因素研究
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摘要
应用交错网格有限差分法对Kelvin-Viogt黏弹介质中的地震波传播进行了数值模拟,并在此基础上对介质的波阻抗和震源子波频率对地震波时频域衰减特征的影响进行了研究分析。研究表明,随着波阻抗的降低和震源子波频率的增大,地震纵波振幅衰减加快,地震波高频成分能量快速衰减,低频成分能量衰减相对较弱,主频向低频偏移加快。
The seismic wave transmission was numerically simulated in Kelvin-Voigt viscoelastic mediawith the staggered grid limited difference method.On the basis,the influences of impedance,frequency of source wavelet on the attenuation characteristics of seismic wave time-frequency domain were studied and analyzed.The results showed that the amplitude of seismic wave was attenuated more rapidly with the decrease of impedance and increase of frequency of source wavelet,and the energy of high-frequency components of the seismic wave was attenuated more rapidly than that of the low-frequency components.As aresult,the principal frequency components were accelerated to offset to the low-frequency components during seismic wave propagation.
The seismic wave transmission was numerically simulated in Kelvin-Voigt viscoelastic mediawith the staggered grid limited difference method.On the basis,the influences of impedance,frequency of source wavelet on the attenuation characteristics of seismic wave time-frequency domain were studied and analyzed.The results showed that the amplitude of seismic wave was attenuated more rapidly with the decrease of impedance and increase of frequency of source wavelet,and the energy of high-frequency components of the seismic wave was attenuated more rapidly than that of the low-frequency components.As aresult,the principal frequency components were accelerated to offset to the low-frequency components during seismic wave propagation.
引文
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[2]郭少华.基于Kelvin-Voigt模型的黏弹性波动力学的本征化理论[J].应用数学和力学,2004,25(7):723-728.GUO Shao-hua.Eigen theory of viscoelastic dynamics based on the Kelvin-Voigt mode[J].Applied Mathematics and Mechanics,2004,25(7):723-728.
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[4]单启铜,乐友喜.PML边界条件下进行二维黏弹性介质波场模拟[J].石油物探,2007,46(2):126-130.SHAN Qi-tong,YUE You-xi.Wavefield simulation of 2-D viscoelastic medium in perfectly matched layer boundary[J].Geophysical Prospecting for Petroleum,2007,46(2):126-130.
[5]CARCIONE J M,POLETTO F,GEI D.3-D wave simulation in anelastic mediausing the Kelvin-Voigt constitutive equation[J].Journal of Computational Physics,2004,196:282-297.
[6]奚先,姚姚.二维黏弹性随机介质中的波场特征[J].石油地球物理勘探,2004,39(4):381-387.XI Xian,YAO Yao.Characteristics of wavefield in 2-D viscoelastic random medium[J].Oil Geophysical Prospecting,2004,39(4):381-387.
[7]傅承义.地球物理学基础[M].北京:科学出版社,1985.
[8]牛滨华,孙春岩.半空间均匀各向同性单相固体介质与地震波传播[M].北京:地质出版社,2005:143.
[9]MAGNIER S,AMORA P,TARANTOLA A.Finite difference on minimal grids[J].Geophysics,1994,59(2):282-289.
[10]杜世通.地震波动力学[M].东营:石油大学出版社,1996:252.
[11]董良国,马在田,曹景忠,等.一阶弹性波方程交错网格高阶差分解法[J].地球物理学报,2000,43(3):411-419.DONG Liang-guo,MA Zai-tian,CAO Jing-zhong,et al.A staggered-grid high-order difference method of one-order elasticwave equation[J].Chinese Journal of Geophysics,2000,43(3):411-419.
[12]ROBERTSSON J O A,BLANCH J O,SYMES W W.Viscoelastic finite-difference modeling[J].Geophysics,1994,59(9):1444-1456.
[13]钱绍瑚.地震勘探[M].北京:地质出版社,1989:200.
[14]AKI K,RICHARD P G.Quantitative seismology theory and methods[M].New York:W.H.Freeman and Company,1980:168-169.
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