各向异性介质中地震波前面的偏微分方程
|
摘要
从含２１个弹性参数的各向异性介质中关于位移分量ｕｘ、ｕｙ与ｕｚ的偏微分波动方程组出发，通过假定平面波位移函数解，导出准Ｐ波、准ＳＶ波与准ＳＨ波的波前面偏微分控制方程，进而对各类特殊各向异性介质（横向各向同性介质、椭圆及立方体各向异性介质）中地震波前面偏微分方程进行了讨论．以上结果为研究各向异性介质中地震波传播规律以及进行正、反演研究奠定了理论基础．
Starting from partial differential equations with respect to displacement components ux、 uy and uz in anisotropic media including 21 elastic parameters,We derived partial differential equations of. seismic wavefronts for qP、、qSV and qSH waves,by using Plane wave motion solution,and discussed the partial differential equations.in spedcial-type anisotropic media(such as transversely isotropic media,ellipitical anisotropic media and cubic anisotropic media).The results obtained lay a solid foundation for understanding the law of the seismic propagation in anisotropic media and for undertaking the forward modelling and inverse comgutation.
Starting from partial differential equations with respect to displacement components ux、 uy and uz in anisotropic media including 21 elastic parameters,We derived partial differential equations of. seismic wavefronts for qP、、qSV and qSH waves,by using Plane wave motion solution,and discussed the partial differential equations.in spedcial-type anisotropic media(such as transversely isotropic media,ellipitical anisotropic media and cubic anisotropic media).The results obtained lay a solid foundation for understanding the law of the seismic propagation in anisotropic media and for undertaking the forward modelling and inverse comgutation.
引文
［1］Crampin，SShear－wavesplitting；Answers，questionandspeculation，57thSEGAnnualMeetingExpandedAbstracts，1987．［2］徐中信、张中杰，各向异性介质中利用弹性参数进行岩性勘探的设想，石油物探，27，67－80，1988．［3］张中杰、何樵登，2－D与3－DTIM中地震波慢度面研究，长春地质学院学报，21，219－224，1991．［4］何樵登编，地震波理论，地质出版社，1988．［5］滕吉文、张中杰、王爱武、魏计春、吉连祥，弹性介质中各向异性研究的沿革、成就与问题，地球物理学进展，7，14－28，1992．［6］朱金明、王丽燕，地震波走时的有限差分法计算，地球物理学报，35，86－92，1992．［7］刘清林，论地震波初至走时的计算方法，地球物理学进展，6，69－77，1991．［8］Auld，B．A，AcousticFieldsandWavesinSolids，JohnWiley，1973．［9］Crampin．S，Chesnokov，E．M，Hipkin，R．G，Proceedingsofthefirstinternationalworkshoponseismicanisotropy，Geophys．J．R．astr．Soc，76，272，1984．［10］Crampin，S，Anisotropyandtransversveisotropy，GeophysicalProspecting，34，94－99，1986．［11］李文艺，各向异性介质中程函方程的讨论，中国地球物理学会综合学术讨论会论文集，1989．［12］Vidale，J．E，Finitedifferencecalcuationoftraveltimes，Bull．SeismSoc．Amer，78，2062－2072．1989．［13］Cerveny，V，Molokov，I．A．andPsencik，I，RayMethodsinSeismology．UniversityofKarlovaPress，Progue，1977．［14］Kelly，K．R，Ward，K．W，Treitel，S，andAlford，R，M，Syntheticseismograms：afinitedifferenceapproach，
版权所有：© 2023 中国地质图书馆 中国地质调查局地学文献中心