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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.
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Keywords:
- seismic wave /
- solitary wave /
- microstructured earth crust
[1] Engelbrecht J, Khamidullin Y 1988 Phys. Earth Planet. Inter. 5039
[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 (inChinese) [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 2009Acta 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 inSolids (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. EstonianAcad. 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 (inChinese) [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
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[1] Engelbrecht J, Khamidullin Y 1988 Phys. Earth Planet. Inter. 5039
[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 (inChinese) [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 2009Acta 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 inSolids (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. EstonianAcad. 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 (inChinese) [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
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