裂缝介质中不同震源横波分裂现象的数值模拟
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摘要
采用TTI介质中二维三分量一阶交错网格应力-速度弹性波方程,模拟胀缩源、垂直集中力源、剪切源在垂直裂缝介质中的井间地震波场,分析了不同方位角情况下波场的传播特征,并讨论了横波分裂时的能量分配情况。结果表明:地震波从各向同性介质进入各向异性介质时会观测到快慢横波;在一定方位角的情况下,垂直裂缝介质中会得到快慢横波,这为进一步分析横波分裂特征和地震实际数据提供了依据。
The paper introduces the elastic wave equation of 2D three components first-order staggered-grid stress and velocity, simulates wave field of dilatational source, vertical concentrated force source, shear source in fracture media, analyzes wave propagation characteristics with different azimuth angle. The result shows that fast and slow shear wave will be observed when seismic wave propagates in fracture media. This work will provide a strong basis for further analysis of shear wave splitting characteristics and actual seismic data.
The paper introduces the elastic wave equation of 2D three components first-order staggered-grid stress and velocity, simulates wave field of dilatational source, vertical concentrated force source, shear source in fracture media, analyzes wave propagation characteristics with different azimuth angle. The result shows that fast and slow shear wave will be observed when seismic wave propagates in fracture media. This work will provide a strong basis for further analysis of shear wave splitting characteristics and actual seismic data.
引文
[1]董敏煜,汪和杰.EDA介质中弹性波VSP模拟和横波双折射分析[C]//中国地球物理学会第八届学术年会论文集.北京:中国石油大学,1992.
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[3]甘文权,董良国,马在田.含裂隙介质中横波分裂现象的数值模拟[J].同济大学学报,2000,28(5):547-551.
[4]吴松翰,贺振华,曹均.EDA介质快慢横波时差和振幅—方位曲线的实验分析[J].石油物探,2006,45(2):146-150.
[5]董清华.震源数值模拟[J].世界地震工程,2000,16(3):27-31.
[6]吴国忱.各向异性介质地震波传播与成像[M].东营:中国石油大学出版社,2006:26-34.
[7]BERENGER J P.A perfectly matched layer for absorption ofelectromagnetics waves[J].Comput Phys,1994,114:185-200.
[8]BECACHE E,FAUQUEUX S,JOLY P.Stability of perfectlymatched layers,group velocities and anisotropic waves[J].Comput.Phys.,2001,188:399-433.
[9]MEZA-FAJARDO,APOSTOLOS S,PAGPGEORGIOUS.Anonconvolutional,split-field,perfectly matched layer for wavepropagation in isotropic and anisotropic elastic media:stabilityanalysis[J].Bulletin of the Seismological Society of Aerical,2008,98(4):811-1836.
[10]CHONG Zeng,JIANG Haixia,RICHARD D M,et al.Applicationof the multiaxial perfectly matched layer(M-MPL)to near-surfaceseismic modeling with Rayleigh waves[J].Geophysics,2011(76):43-52.
[11]钟飞,张伟,焦标强,等.可控震源粘弹性波动方程有限差分模拟[J].煤田地质与勘探,2011,39(2):57-60.
[12]魏宏超,乌效鸣,李粮纲,等.煤层气井水力压裂同层多裂缝分析[J].煤田地质与勘探,2012,40(6):20-23.
[2]侯安宁,马在田.垂直地震剖面横波分裂的理论研究[J].同济大学学报,1996,24(5):574-578.
[3]甘文权,董良国,马在田.含裂隙介质中横波分裂现象的数值模拟[J].同济大学学报,2000,28(5):547-551.
[4]吴松翰,贺振华,曹均.EDA介质快慢横波时差和振幅—方位曲线的实验分析[J].石油物探,2006,45(2):146-150.
[5]董清华.震源数值模拟[J].世界地震工程,2000,16(3):27-31.
[6]吴国忱.各向异性介质地震波传播与成像[M].东营:中国石油大学出版社,2006:26-34.
[7]BERENGER J P.A perfectly matched layer for absorption ofelectromagnetics waves[J].Comput Phys,1994,114:185-200.
[8]BECACHE E,FAUQUEUX S,JOLY P.Stability of perfectlymatched layers,group velocities and anisotropic waves[J].Comput.Phys.,2001,188:399-433.
[9]MEZA-FAJARDO,APOSTOLOS S,PAGPGEORGIOUS.Anonconvolutional,split-field,perfectly matched layer for wavepropagation in isotropic and anisotropic elastic media:stabilityanalysis[J].Bulletin of the Seismological Society of Aerical,2008,98(4):811-1836.
[10]CHONG Zeng,JIANG Haixia,RICHARD D M,et al.Applicationof the multiaxial perfectly matched layer(M-MPL)to near-surfaceseismic modeling with Rayleigh waves[J].Geophysics,2011(76):43-52.
[11]钟飞,张伟,焦标强,等.可控震源粘弹性波动方程有限差分模拟[J].煤田地质与勘探,2011,39(2):57-60.
[12]魏宏超,乌效鸣,李粮纲,等.煤层气井水力压裂同层多裂缝分析[J].煤田地质与勘探,2012,40(6):20-23.
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