具微结构地壳中非线性地震波的演化
|
摘要
非线性地震波在地壳中传播及演化规律的研究具有重要实际意义.利用有限差分方法,对非线性地震纵波和横波在具微结构地壳中的演化过程进行了详细的数值模拟.结果表明,非线性地震纵波和横波在具微结构地壳中可以逐渐演化成一个孤立波或两个孤立波或孤立波列或消失.地震波的初始幅度、频散系数和体力因子对演化过程和结果都有重要影响.研究结果揭示了非线性地震波在一种微结构地壳中的演化规律,这有助于在理论上解释一些特殊地震波现象.
Study of propagation and evolution of nonlinear seismic wave in earth crust is of important practical significance.In this paper, evolutions of nonlinear seismic longitudinal wave and transverse wave in microstructured earth crust are simulated detailedly by using the finite difference method.The results indicate that nonlinear seismic longitudinal wave and transverse wave in microstructured earth crust may evolve into one solitary wave or two solitary waves or solitary wave train,or disappearance.The initial amplitude of seismic wave,dispersion coefficient and body force factor significantly influence the evolution process.Our results reveal the evolution law of nonlinear seismic wave in a microstructured earth crust,which will help to explain some special seismic wave phenomena in theory.
Study of propagation and evolution of nonlinear seismic wave in earth crust is of important practical significance.In this paper, evolutions of nonlinear seismic longitudinal wave and transverse wave in microstructured earth crust are simulated detailedly by using the finite difference method.The results indicate that nonlinear seismic longitudinal wave and transverse wave in microstructured earth crust may evolve into one solitary wave or two solitary waves or solitary wave train,or disappearance.The initial amplitude of seismic wave,dispersion coefficient and body force factor significantly influence the evolution process.Our results reveal the evolution law of nonlinear seismic wave in a microstructured earth crust,which will help to explain some special seismic wave phenomena in theory.
引文
[1]Engelbrecht J,Khamidullin Y 1988 Phys.Earth Planet.Inter.50 39
[2]Zhurkov S N 1983 Sov.Phys.Solid State 25 1797
[3]Petrov V A 1983 Sov.Phys.Solid State 25 1800
[4]Du Q Z 2004 Acta Phys.Sin.53 4428(in Chinese)[杜启振2004物理学报53 4428]
[5]Du Q Z,Liu L L,Sun J B 2007 Acta Phys.Sin.56 6143(in Chinese)[杜启振,刘莲莲,孙晶波2007物理学报56 6143]
[6]Liu J X,Cui Z W,Wang K X 2007 Chin.Phys.16 2180
[7]Li H X,Tao C H 2009 Acta Phys.Sin.58 2836(in Chinese)[李红星,陶春辉2009物理学报58 2836]
[8]Li H X,Tao C H,Zhou J P,Deng J Z,Deng X M,Fang G X 2009 Acta Phys.Sin.58 8083(in Chinese)[李红星,陶春辉,周建平,邓居智,邓显明,方根显2009物理学报58 8083]
[9]Engelbrecht J 1983 Nonlinear Wave Processes of Deformation in Solids(Boston:Pitman)
[10]Zheng H S,Zhang Z J,Liu E R 2006 Geophys.J.Int.165 943
[11]Zheng H S,Zhang Z J,Tian X B 2006 Chin.J.Geophys.49 885 (in Chinese)[郑海山,张中杰,田小波2006地球物理学报49 885]
[12]Porubov A V,Gursky V V,Maugin G A 2003 Proc.Estonian Acad.Sci.Phys.Math.52 85
[13]Engelbrecht J,Peipman T 1992 Wave Motion 16 173
[14]Mandafu,Naranmandula 2009 Chin.J.Solid Mech.30 614(in Chinese)[满达夫,那仁满都拉2009固体力学学报30 614]
[15]Mandafu,Naranmandula 2010 Acta Phys.Sin.59 60(in Chinese) [满达夫,那仁满都拉2010物理学报59 60]
[16]Peterson P,Salupere A 1997 Proc.Estonian Acad.Sci.Phys. Math.46 102
[17]Berckhemer H,Schneider G 1964 Bull.Seism.Soc.Am.54 973
[18]Wideman C J,Major M W 1967 Bull.Seism.Soc.Am.57 1429
[19]Aki K,Richards P G 2002 Quantitative Seismology(Second edition) (Sausalito:University Science Books)
[20]Bataille K,Lund F 1982 Physica D 6 95
[2]Zhurkov S N 1983 Sov.Phys.Solid State 25 1797
[3]Petrov V A 1983 Sov.Phys.Solid State 25 1800
[4]Du Q Z 2004 Acta Phys.Sin.53 4428(in Chinese)[杜启振2004物理学报53 4428]
[5]Du Q Z,Liu L L,Sun J B 2007 Acta Phys.Sin.56 6143(in Chinese)[杜启振,刘莲莲,孙晶波2007物理学报56 6143]
[6]Liu J X,Cui Z W,Wang K X 2007 Chin.Phys.16 2180
[7]Li H X,Tao C H 2009 Acta Phys.Sin.58 2836(in Chinese)[李红星,陶春辉2009物理学报58 2836]
[8]Li H X,Tao C H,Zhou J P,Deng J Z,Deng X M,Fang G X 2009 Acta Phys.Sin.58 8083(in Chinese)[李红星,陶春辉,周建平,邓居智,邓显明,方根显2009物理学报58 8083]
[9]Engelbrecht J 1983 Nonlinear Wave Processes of Deformation in Solids(Boston:Pitman)
[10]Zheng H S,Zhang Z J,Liu E R 2006 Geophys.J.Int.165 943
[11]Zheng H S,Zhang Z J,Tian X B 2006 Chin.J.Geophys.49 885 (in Chinese)[郑海山,张中杰,田小波2006地球物理学报49 885]
[12]Porubov A V,Gursky V V,Maugin G A 2003 Proc.Estonian Acad.Sci.Phys.Math.52 85
[13]Engelbrecht J,Peipman T 1992 Wave Motion 16 173
[14]Mandafu,Naranmandula 2009 Chin.J.Solid Mech.30 614(in Chinese)[满达夫,那仁满都拉2009固体力学学报30 614]
[15]Mandafu,Naranmandula 2010 Acta Phys.Sin.59 60(in Chinese) [满达夫,那仁满都拉2010物理学报59 60]
[16]Peterson P,Salupere A 1997 Proc.Estonian Acad.Sci.Phys. Math.46 102
[17]Berckhemer H,Schneider G 1964 Bull.Seism.Soc.Am.54 973
[18]Wideman C J,Major M W 1967 Bull.Seism.Soc.Am.57 1429
[19]Aki K,Richards P G 2002 Quantitative Seismology(Second edition) (Sausalito:University Science Books)
[20]Bataille K,Lund F 1982 Physica D 6 95
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