粘弹性VTI介质地震波模拟特征分析
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摘要
本文首先利用有限差分法分别对弹性和粘弹性VTI介质进行地震波传播数值模拟,并针对波场快照和波场记录特征,分析不同品质因子组合对波场能量衰减和频率吸收作用的影响.结果表明:对应于膨胀滞弹性形变的品质因子变化主要影响qP波的能量衰减;对应于剪切滞弹性形变的品质因子变化主要影响qSV波的能量衰减;对于qSH波,两个品质因子分别对应于垂直和水平方向的能量衰减;品质因子较小时,qSV波和qSH波的频率向低频方向移动,qP波频率变化不明显.
In this paper,we firstly simulate wave field propagation in elastic and viscoelastic VTI medium used by finite difference scheme,then analysis wave field snap and wave field record characteristics.Through comparing and analysis effects of energy attenuation and frequency absorption related to different Q factor pair,we obtained these results as follows: The Q factor related to dilation anelastic deformation affect energy attenuation of qP wave;The Q factor relation to shear anelastic deformation affects energy attenuation of qSV wave;To SH wave,the two Q factors indicate attenuation in vertical and horizontal direction respectively;The effect of Q factor to qSV wave and qSH wave is bigger compare to qP,when Q factor is small,the former frequency tend to low frequency,but the frequency various of the latter is not obvious.
In this paper,we firstly simulate wave field propagation in elastic and viscoelastic VTI medium used by finite difference scheme,then analysis wave field snap and wave field record characteristics.Through comparing and analysis effects of energy attenuation and frequency absorption related to different Q factor pair,we obtained these results as follows: The Q factor related to dilation anelastic deformation affect energy attenuation of qP wave;The Q factor relation to shear anelastic deformation affects energy attenuation of qSV wave;To SH wave,the two Q factors indicate attenuation in vertical and horizontal direction respectively;The effect of Q factor to qSV wave and qSH wave is bigger compare to qP,when Q factor is small,the former frequency tend to low frequency,but the frequency various of the latter is not obvious.
引文
[1]杜启振,王延光,付水华.方位各向异性粘弹性介质波场数值模拟[J].地球物理学进展,2006,21(2):502~504.
[2]李景叶,陈小宏.横向各向同性介质地震波场数值模拟研究[J].地球物理学进展,2006,21(3):700~705.
[3]郑洪伟,李廷栋,高锐,等.数值模拟在地球动力学中的研究进展[J].地球物理学进展,2006,21(2):360~369.
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[5]张智,刘财,邵志刚,等.伪谱法在常Q粘弹介质地震波场模拟中的应用效果[J].地球物理学进展,2005,20(4):945~949.
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[7]杜启振,杨慧珠.方位各向异性粘弹性介质波场有限元模拟[J].物理学报,2003,52(8):2010~2015.
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[14]范祯祥,等.准各向异性粘弹介质地震渡的数字仿真[J].地球物理学报,1988,31(2):184~210.
[15]Carcione J M.Wave Fields in Real Media:Wave Propagationin Anisotropic,Anelastic and Porous Media[M].Elsevier Sci-ence Ltd.2001.
[16]Carcione J M,Kosloff D,Kosloff R.Wave propagationsimu—lation in a linear viscoacoustic medium[J].Geophys J,1 988,93:393~407.
[17]Carcione J M,Kosloff D,Kosloff R.Wave propagation simu—lation in a linear viscoelatic medium[J].Geophysical Journal,1988,95:597~611.
[18]Carcione J M.Staggered mesh for the anisotropic and viscoe—lastic wave equation[J].Geophysics,1999,64(6):1863~1866.
[19]牛滨华,孙春岩.地震波理论研究进展[J].地球物理学进展,2004.19(2):255~263
[20]Carcione J M,et al.Attenuation and quality factor surfacesin anisotropic viscoelastic media[J].Mechanical of Material,1995,19:311~327.
[21]杜启振,杨慧珠.具有水平对称轴的横向各向同性线性粘弹性介质波场特征[J].石油大学学报(自然科学版),2003,27(1):14~18.
[2]李景叶,陈小宏.横向各向同性介质地震波场数值模拟研究[J].地球物理学进展,2006,21(3):700~705.
[3]郑洪伟,李廷栋,高锐,等.数值模拟在地球动力学中的研究进展[J].地球物理学进展,2006,21(2):360~369.
[4]刘财,张智,邵志刚,等.线性粘弹体中地震波场伪谱法模拟技术[J].地球物理学进展,2005,20(3):640~652.
[5]张智,刘财,邵志刚,等.伪谱法在常Q粘弹介质地震波场模拟中的应用效果[J].地球物理学进展,2005,20(4):945~949.
[6]杜启振,杨慧珠.裂缝性地层粘弹性地震多波波动方程[J].物理学报,2004,53(4):2801~2806.
[7]杜启振,杨慧珠.方位各向异性粘弹性介质波场有限元模拟[J].物理学报,2003,52(8):2010~2015.
[8]周光泉,刘孝敏.粘弹性理论[M].合肥:中国科学技术大学出版社,1988.
[9]牟永光,裴正林.三维复杂介质地震数值模拟[M].石油工业出版社,2005.
[10]范祯祥,郑仙种.地震波数值模拟与偏移成像[M].河南科学技术出版社,1994.
[11]杜世通.地震波动力学[M].北京:石油大学出版社,1996.
[12][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.
[13]何樵登,张中杰.横向各向同性介质中地震波及其数值模拟[M].长春:吉林大学出版社,1996.
[14]范祯祥,等.准各向异性粘弹介质地震渡的数字仿真[J].地球物理学报,1988,31(2):184~210.
[15]Carcione J M.Wave Fields in Real Media:Wave Propagationin Anisotropic,Anelastic and Porous Media[M].Elsevier Sci-ence Ltd.2001.
[16]Carcione J M,Kosloff D,Kosloff R.Wave propagationsimu—lation in a linear viscoacoustic medium[J].Geophys J,1 988,93:393~407.
[17]Carcione J M,Kosloff D,Kosloff R.Wave propagation simu—lation in a linear viscoelatic medium[J].Geophysical Journal,1988,95:597~611.
[18]Carcione J M.Staggered mesh for the anisotropic and viscoe—lastic wave equation[J].Geophysics,1999,64(6):1863~1866.
[19]牛滨华,孙春岩.地震波理论研究进展[J].地球物理学进展,2004.19(2):255~263
[20]Carcione J M,et al.Attenuation and quality factor surfacesin anisotropic viscoelastic media[J].Mechanical of Material,1995,19:311~327.
[21]杜启振,杨慧珠.具有水平对称轴的横向各向同性线性粘弹性介质波场特征[J].石油大学学报(自然科学版),2003,27(1):14~18.
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