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Propagation of Love Waves Through an Irregular Surface Layer in the Presence of a Finite Rigid Barrier
Pushpander Kadian, Jagdish Singh
Pages - 30 - 44     |    Revised - 31-01-2011     |    Published - 08-02-2011
Volume - 1   Issue - 2    |    Publication Date - December 2010  Table of Contents
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KEYWORDS
Cylendrical Waves, Fourier Transforms, Scattered Waves, Wiener-Hopf Technique
ABSTRACT
Love waves are surface seismic waves that cause horizontal shifting of earth during the earthquake. The particle motion of Love waves forms a horizontal line perpendicular to direction of propagation. The effect of irregularities present in the surface layer has been discussed in the present paper. The irregularity is in the form of a finite rigid barrier in the surface layer. The surface layer has been assumed to be homogeneous, isotropic and slightly dissipative. The reflected, transmitted and scattered waves have been obtained by Fourier transformations and Wiener-Hopf technique. The numerical computation has been done by taking the barriers of different sizes. The amplitude of the scattered and the reflected waves has been plotted against the wave number. The scattered waves behave as decaying cylindrical waves at distant points. The amplitude of the scattered waves falls off very rapidly as the wave number increases slowly. The amplitude of the reflected Love waves decreases rapidly with the wave number and ultimately becomes saturated which shows that the reflected love waves take a very long time to dissipate making these the most destructive waves during the earthquake.
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1 S. Asghar, and F. D. Zaman., “Diffraction of Love waves by a finite rigid barrier,” Bull. Seis. Soc. Am. 70, 241 – 257 ,1988
2 A. Chattopadhyay, S. Gupta., V. K. Sharma, P. Kumari., “Propagation of Shear waves in visco- elastic medium at irregular boundaries,” Acta Geophysica, 58, 195 – 214, 2009.
3 E. T. Copson., “Theory of functions of complex variables,” Oxford University Press, (1935).
4 W. M. Ewing, W. S. Jardetsky, and F. Press., “Elastic waves in layered media,” McGraw Hill Book Co., (1957).
5 J. Kaur, S. K. Tomar, V. P. Kaushik., “Reflection and refraction of SH–waves at a corrugated interface between two laterally and vertically heterogeneous viscoelastic solid half spaces,” Int. J. Solid Struct. 42, 3621-3643, 2005
6 B. Noble., “Methods based on the Wiener-Hopf Technique,” Pergamon Press, (1958).
7 F. Oberhettinger and L. Badii., “Tables of Laplace Transforms,” Springer-Verlang, New York, (1973).
8 R. Sato., “Love waves in case the surface layer is variable in thickness,” J. Phys. Earth, 9, 19-36, 1961.
9 S. K. Tomar and J. Kaur., “SH-waves at a corrugated interface between a dry sandy half-space and an anisotropic elastic half space,” Acta Mechanica, 190, 1 – 28, 2007.
10 F. D. Zaman,, “Diffraction of SH-waves across a mixed boundary in a plate,” Mech. Res. Comm., 28, 171 – 178, 2001.
11 H. M. Zhang and X. F. Chan., “Studies on seismic waves,” Acta Seismologica Sinica, 16, 492 – 502, 2003.
Mr. Pushpander Kadian
Maharaja Surajmal Institute - India
pushpanderkadian@gmail.com
Dr. Jagdish Singh
- India