地震波在粘弹介质中的传播及地形效应
PROPAGATION OF SEISMIC WAVES IN A VISCOELASTIC MEDIUM AND THE EFFECT OF TOPOGRAPHY
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摘要: 本文应用有限元法研究了几种不规则地形及典型地质构造对粘弹波传播的影响.在SH 波和 P 波垂直入射的条件下,计算了各模型中地震波与地表的位移和加速度的最大振幅分布,同时讨论了它们在工程地震中的可能应用.Abstract: In this paper we have simulated the propagation of seismic waves in a viscoelastic medium and calculated the effect of irregular surface topography by using finite element method. Several types of elastic and viscoelastic medium models, such as block structure, mountain top and /or valley with and without a soft layer underneath have been studied. The distribution of maximum amplitude of displacement and acceleration on surface has been calculated in the case of vertically incident SH and P waves from the basement. The possible application in earthquake engineering is also discussed.
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[1] 陈丙午,1982.不规则地形对地震动及震害的影响.地震工程与工程振动,2, 1, 12——19.
[2] Trifunac, M. D. and Hudson. D. E.,1971. Analysis of the pacoima dan accelerogram—— San Fernando.California earthquake of 1971. Bull. Seism. Soc. Amer., 61, 1393——1411.
[3] Griffths, D. W. and Bollinger, G. A.,1979. The effect of the appalachian mountain topography on seismic waves. Bull. Seism. Soc. Amer.,69, 1081——1105.
[4] Aki, K. and Larner K. L.,1970. Surface motion of a layered medium having an irregular interface due to incident plane SH waves. J. Geophys. Res.,75, 933——954.
[5] Wang. H. L. and Jennings D. C., 1975. Effect of canyon topography on strong ground motion. Bull. Seism.Soc. Amer.,65 1239——1257.
[6] Trifunac M. D.,1971. Surface motion of a semicylindrical alluvial valley for incident plane SH waves. Bull.Seism. Soc. Arrrer., 61, 1755——1770.
[7] Trifunac. M. D.,1972. Erratum to Surface motion of a semicylindral alluvial vaVey for incident plane SH waves.Bull. Seism. Soc. Arr}r.,62, 666.
[8] Wang. H. L. and Trifunac. M. D.,1974. Scattering of plane SH waves by a seim——eviptical canyont. J.Earthquake Eng. Struct. Dynam., 3, 157——169.
[9] Boore, D. M——1972. A note on the effect of simple topography on seismic SH waves.Bull.Seism.Soc.Amer.62, 275——284.
[10] Lysmer, J. and Drake, L. A.,1972. A finite element method for seismology. Method In Conputational Physics,11 Academic press, New York. 211.
[11] SmithW.D., 1975. The application of finite element analysis to body wave propagation problems. G. J. R. astr. Soc.,42, 747——768.
[12] 廖振鹏,1984.近场波动问题的有限元解法.地震工程与工程振动,4, 1, 1——13.
[13] 廖振鹏、刘晶波,1986.离散网格中的弹性波动(I)地震工程与工程振动,6, 2, I——15.
[14] Huebner, K. H., 1975. The Finite Element Method为r Engineers John Wiley and Sons, New York. 469.
[15] 郭自强,1982.固体中的波.地震出版社,北京.353.
[16] Hinton,E.,Rock, A. and Zienkiewicz, O. C., 1976. A note on mass lumping in related process in the finite element method. Int. J. Earthquake Eng. Struct. Dynam. 4, 245——249.[1] 陈丙午,1982.不规则地形对地震动及震害的影响.地震工程与工程振动,2, 1, 12——19.
[2] Trifunac, M. D. and Hudson. D. E.,1971. Analysis of the pacoima dan accelerogram—— San Fernando.California earthquake of 1971. Bull. Seism. Soc. Amer., 61, 1393——1411.
[3] Griffths, D. W. and Bollinger, G. A.,1979. The effect of the appalachian mountain topography on seismic waves. Bull. Seism. Soc. Amer.,69, 1081——1105.
[4] Aki, K. and Larner K. L.,1970. Surface motion of a layered medium having an irregular interface due to incident plane SH waves. J. Geophys. Res.,75, 933——954.
[5] Wang. H. L. and Jennings D. C., 1975. Effect of canyon topography on strong ground motion. Bull. Seism.Soc. Amer.,65 1239——1257.
[6] Trifunac M. D.,1971. Surface motion of a semicylindrical alluvial valley for incident plane SH waves. Bull.Seism. Soc. Arrrer., 61, 1755——1770.
[7] Trifunac. M. D.,1972. Erratum to Surface motion of a semicylindral alluvial vaVey for incident plane SH waves.Bull. Seism. Soc. Arr}r.,62, 666.
[8] Wang. H. L. and Trifunac. M. D.,1974. Scattering of plane SH waves by a seim——eviptical canyont. J.Earthquake Eng. Struct. Dynam., 3, 157——169.
[9] Boore, D. M——1972. A note on the effect of simple topography on seismic SH waves.Bull.Seism.Soc.Amer.62, 275——284.
[10] Lysmer, J. and Drake, L. A.,1972. A finite element method for seismology. Method In Conputational Physics,11 Academic press, New York. 211.
[11] SmithW.D., 1975. The application of finite element analysis to body wave propagation problems. G. J. R. astr. Soc.,42, 747——768.
[12] 廖振鹏,1984.近场波动问题的有限元解法.地震工程与工程振动,4, 1, 1——13.
[13] 廖振鹏、刘晶波,1986.离散网格中的弹性波动(I)地震工程与工程振动,6, 2, I——15.
[14] Huebner, K. H., 1975. The Finite Element Method为r Engineers John Wiley and Sons, New York. 469.
[15] 郭自强,1982.固体中的波.地震出版社,北京.353.
[16] Hinton,E.,Rock, A. and Zienkiewicz, O. C., 1976. A note on mass lumping in related process in the finite element method. Int. J. Earthquake Eng. Struct. Dynam. 4, 245——249.
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