地震波理论研究进展——介质模型与地震波传播
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摘要
介质模型及地震波传播是地震波理论的核心内容之一,本文结合作者目前研究所涉及的内容,阐述了介质模型及地震波传播的相关问题.首先是地震学背景中的地震波传播的主要问题.其次是地震波传播的动力学,其中的主体内容可以由波动方程的建立、波动方程和波动方程的延伸三部分组成.再次是地震波的传播与介质因素和界面因素,以及孔隙介质模型的认识和讨论.最后结合均匀弹性各向同性、粘弹性各向同性、双相介质和各向异性四种介质模型,阐述了地震波传播的主要特性.
The medium model and propagation of seismic waves is the core problem of seismology and theory of wave propagation, which cover a series of relevant subject fields. This paper addresses some aspects of this problem based on previous studies and our current research work. Nonelasticity, non\|single phase, and anisotropy of the earth media, inversion, nonlinear seismic wave, and earthquake prediction are problems which are develop much attention. Dynamics of seismic wave propagation consists of establishment of wave equations, wave equations and extension of wave equations. Propagation of seismic wave is closed related with media and interfaces. At present studies on the propagation of seismic wave in porous media, viscid media, and anisotropic porous media are of frontal subjects of research. Finally we present the main features of seismic wave propagation in conjunction with homogeneous isotropic elastic, visco\|elastic isotropic, two\|phase and anisotropic medium models.
The medium model and propagation of seismic waves is the core problem of seismology and theory of wave propagation, which cover a series of relevant subject fields. This paper addresses some aspects of this problem based on previous studies and our current research work. Nonelasticity, non\|single phase, and anisotropy of the earth media, inversion, nonlinear seismic wave, and earthquake prediction are problems which are develop much attention. Dynamics of seismic wave propagation consists of establishment of wave equations, wave equations and extension of wave equations. Propagation of seismic wave is closed related with media and interfaces. At present studies on the propagation of seismic wave in porous media, viscid media, and anisotropic porous media are of frontal subjects of research. Finally we present the main features of seismic wave propagation in conjunction with homogeneous isotropic elastic, visco\|elastic isotropic, two\|phase and anisotropic medium models.
引文
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[6] 罗明秋,刘洪,李幼铭.地震波传播的哈密顿表述及辛几何算法[J].地球物理学报,2001,44(1):121～130.
[7] 王秀明,张海澜,王东.利用高阶交错网格有限差分法模拟地震波在非均匀孔隙介质中的传播[J].地球物理学报,2003,46(6):842～849.
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[17] 欧维义.场的数学描写方法[M].长春:吉林人民出版社,1982.
[18] 郭自强.固体中的波[M].北京:地震出版社,1982.
[19] 徐果明,周惠兰.地震学原理[M].北京:科学出版社,1982.
[20] 杜世通.地震波动力学[M].山东:石油大学出版社,1996.
[21] 胡德绥.弹性波动力学[M].北京:地质出版社,1989.
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[24] 蔡峨.粘弹性力学基础[M].北京:航空航天大学出版社,1989.
[25] BiotMA.Theoryofpropagationofelasticwavesinafluid saturatedporoussolid,partI:lowfrequencyrange[J].JAcoustSocAm,1956a,28(2),168～178.
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[28] [苏]Еф萨瓦林斯基.地震波[M].段星北译.北京:科学出版社,1981.
[29] [美]FS柯劳福德,著,卢鹤,等,译.波动学—波克利物理学教程[M].第三卷.北京:科学出版社,1981.
[30] [瑞典]M巴特,著,郑治真,译,朱传镇,校.地震学的数学问题[M].北京:科学出版社,1976.
[2] [美]RE谢里夫,[加]L.P吉尔达特,著,初英,李承楚,等,译..勘探地震学(上下册)[M].北京:石油工业出版社,1999.
[3] [法]T布尔贝,O库索,B甄斯纳,著,许云,译.孔隙介质声波.北京:石油工业出版社,1994.
[4] ArnosNur,等,著,许云,译.双相介质中波的传播.北京:石油工业出版社,1986.
[5] 田春志,刘洪.深层地震勘探的地震波传播理论研究前景[J].地球物理学进展,2002,17(4):564～574.
[6] 罗明秋,刘洪,李幼铭.地震波传播的哈密顿表述及辛几何算法[J].地球物理学报,2001,44(1):121～130.
[7] 王秀明,张海澜,王东.利用高阶交错网格有限差分法模拟地震波在非均匀孔隙介质中的传播[J].地球物理学报,2003,46(6):842～849.
[8] [美]怀特JE.地下声波 地震波的应用[M].北京:石油工业出版社,1987.
[9] 曾融生.固体地球物理学导论[M].北京:科学出版社,1984.
[10] 滕吉文.固体地球物理学[M].北京:地震出版社,2003.
[11] 王妙月.勘探地球物理学[M].北京:地震出版社,2003.
[12] 何樵登.地震波理论[M].北京:地质出版社,1988.
[13] 杨宝俊,牛滨华,阎贫.勘探地震学导论(二)[M].长春:吉林科技出版社,1992.
[14] 何樵登,张中杰,编著.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.
[15] 牛滨华,孙春岩.半空间介质与地震波传播[M].北京:石油工业出版社,2002.
[16] 牛滨华,孙春岩.各向同性固体连续介质与地震波传播[M].北京:石油工业出版社,2002.
[17] 欧维义.场的数学描写方法[M].长春:吉林人民出版社,1982.
[18] 郭自强.固体中的波[M].北京:地震出版社,1982.
[19] 徐果明,周惠兰.地震学原理[M].北京:科学出版社,1982.
[20] 杜世通.地震波动力学[M].山东:石油大学出版社,1996.
[21] 胡德绥.弹性波动力学[M].北京:地质出版社,1989.
[22] 杨挺青.粘弹性力学[M].武汉:华中理工大学出版社,1990.
[23] 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,1986.
[23] [美]瑞克NH,著,许云,译.粘弹性介质中的地震波[M].北京:地质出版社,1981.
[24] 蔡峨.粘弹性力学基础[M].北京:航空航天大学出版社,1989.
[25] BiotMA.Theoryofpropagationofelasticwavesinafluid saturatedporoussolid,partI:lowfrequencyrange[J].JAcoustSocAm,1956a,28(2),168～178.
[26] BiotMA.Theoryofpropagationofelasticwavesinafluidsaturatedporous,partII:Higher frequencyrange[J].JAcoustSocAm,1956b,28(2),179～191.
[27] ThomsenL.WeakElasticAnisotropicMedia,Geophygics,1986,51:1954～1966.
[28] [苏]Еф萨瓦林斯基.地震波[M].段星北译.北京:科学出版社,1981.
[29] [美]FS柯劳福德,著,卢鹤,等,译.波动学—波克利物理学教程[M].第三卷.北京:科学出版社,1981.
[30] [瑞典]M巴特,著,郑治真,译,朱传镇,校.地震学的数学问题[M].北京:科学出版社,1976.
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