线性粘弹体中地震波场伪谱法模拟技术
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摘要
以积分本构方程为基础,应用对应原理建立线性粘弹体中的波动方程,采用伪谱法进行数值模拟.实际计算结果表明该方法能有效模拟标准线性粘弹体中地震波的传播.
The article is based on the integal equation,we get the wave equation based on the standard linear viscoelasic solid with the corresponding theory and used the pseudospectral forward data modeling in the wave field.It proves the method could effectively model the sprea of seismic wave in the linear viscoelastic solid by what we theoretically analyze.
The article is based on the integal equation,we get the wave equation based on the standard linear viscoelasic solid with the corresponding theory and used the pseudospectral forward data modeling in the wave field.It proves the method could effectively model the sprea of seismic wave in the linear viscoelastic solid by what we theoretically analyze.
引文
[1][美]N.H.瑞克,著,许云,译.粘弹性介质中的地震波[M].北京:地质出版社,1981.
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[3]周光泉,刘孝敏.粘弹性理论[M].合肥:中国科学技术大学出版,1988.
[4]周德培,朱本珍.流变力学原理及其在岩土工程中的应用[M].成都:西南交通大学出版社,1995.
[5]蔡美峰主编.岩石力学与工程[M].北京:科学出版社,2002.
[6]范祯祥,郑仙种.地震波数值模拟与偏移成像[M].郑州:河南科学技术出版社,1994.
[7]刘财,谢靖,韩道范,杨宝俊,冯暄.用Stokes方程的差分方法制作合成记录[J].石油地球物理勘探,2002,37(3):230~236.
[8]刘财,谢靖,韩道范.Stokes方程的差分格式及其稳定性问题[J].长春科技大学学报,2001,31(S):89~93.
[9]刘财,谢靖,杨宝俊.非均匀粘弹介质中波传播的几个基本问题[J].长春科技大学学报,2000,30(S):93~96.
[10]傅旦丹,刘洋,王慎中.粘弹介质中声波的伪谱法模拟.江汉石油学院学报,1993,15(4):32~39.
[11]柯本喜,郭矛,严昌言,范祯祥.非均匀粘弹介质中有限元地震数字模型[J].石油地球物理勘探,1990,25(3):245~259.
[12]张光莹,曾新吾.伪谱法模拟各向异性/非均匀介质中弹性波的传播[J].国防科技大学学报,2002,24(3):18~22.
[13]Gazdag J.Modeling of the acoustic wave equation with trans-form methods[J].Geophysics,1981,46(6):854~859.
[14]Kosloff D,Baysal E.Forward modeling by Fourier method[J].Geophysics,1982,47(3):1402~1412.
[15]Carcione J M,Kosloff D,Kosloff R.Wave propagation simu-lation in a linear viscoacoustic medium[J].Geophys.J.1988,93(2):393~407.
[16]Carcione J M,Kosloff D,Kosloff R.Viscoacoustic wavepropagation simulation in the earth,Geophysics,1988,53(3):769~777.
[17]Wilhelm Flugge Viscoelasticity(second edition)[M].NewYork.Heidelberg.Berlin,Springer-Verlag,1975.
[18]Liu H P.Anderson D L,Kanamori H.Velocity dispersiondue to anelasticity;implications for seismology and mantlecomposition[J].Geophys J R astr Soc,1976,47:41~58.
[19]Tal-Ezer H.Carcione J M,kosloff D.An accurate and effi-cient scheme for wave propagation in linear viscoelastic media[J].Geophysics,1990,55(10):1366~1379.
[20]Day S M,Minster J B.Numerical simulation of attenuatedwavefields using a Pade approximant method[J].Geophys JR astr Soc,1984,78:105~118.
[2]袁龙蔚.流变力学[M].北京:科学出版社,1986.
[3]周光泉,刘孝敏.粘弹性理论[M].合肥:中国科学技术大学出版,1988.
[4]周德培,朱本珍.流变力学原理及其在岩土工程中的应用[M].成都:西南交通大学出版社,1995.
[5]蔡美峰主编.岩石力学与工程[M].北京:科学出版社,2002.
[6]范祯祥,郑仙种.地震波数值模拟与偏移成像[M].郑州:河南科学技术出版社,1994.
[7]刘财,谢靖,韩道范,杨宝俊,冯暄.用Stokes方程的差分方法制作合成记录[J].石油地球物理勘探,2002,37(3):230~236.
[8]刘财,谢靖,韩道范.Stokes方程的差分格式及其稳定性问题[J].长春科技大学学报,2001,31(S):89~93.
[9]刘财,谢靖,杨宝俊.非均匀粘弹介质中波传播的几个基本问题[J].长春科技大学学报,2000,30(S):93~96.
[10]傅旦丹,刘洋,王慎中.粘弹介质中声波的伪谱法模拟.江汉石油学院学报,1993,15(4):32~39.
[11]柯本喜,郭矛,严昌言,范祯祥.非均匀粘弹介质中有限元地震数字模型[J].石油地球物理勘探,1990,25(3):245~259.
[12]张光莹,曾新吾.伪谱法模拟各向异性/非均匀介质中弹性波的传播[J].国防科技大学学报,2002,24(3):18~22.
[13]Gazdag J.Modeling of the acoustic wave equation with trans-form methods[J].Geophysics,1981,46(6):854~859.
[14]Kosloff D,Baysal E.Forward modeling by Fourier method[J].Geophysics,1982,47(3):1402~1412.
[15]Carcione J M,Kosloff D,Kosloff R.Wave propagation simu-lation in a linear viscoacoustic medium[J].Geophys.J.1988,93(2):393~407.
[16]Carcione J M,Kosloff D,Kosloff R.Viscoacoustic wavepropagation simulation in the earth,Geophysics,1988,53(3):769~777.
[17]Wilhelm Flugge Viscoelasticity(second edition)[M].NewYork.Heidelberg.Berlin,Springer-Verlag,1975.
[18]Liu H P.Anderson D L,Kanamori H.Velocity dispersiondue to anelasticity;implications for seismology and mantlecomposition[J].Geophys J R astr Soc,1976,47:41~58.
[19]Tal-Ezer H.Carcione J M,kosloff D.An accurate and effi-cient scheme for wave propagation in linear viscoelastic media[J].Geophysics,1990,55(10):1366~1379.
[20]Day S M,Minster J B.Numerical simulation of attenuatedwavefields using a Pade approximant method[J].Geophys JR astr Soc,1984,78:105~118.
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