Home   >   CSC-OpenAccess Library   >    Manuscript Information
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
MORE INFORMATION
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.
1 Google Scholar 
2 CiteSeerX 
3 refSeek 
4 Scribd 
5 SlideShare 
6 PdfSR 
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.
B. Noble., “Methods based on the Wiener-Hopf Technique,” Pergamon Press, (1958).
E. T. Copson., “Theory of functions of complex variables,” Oxford University Press, (1935).
F. D. Zaman,, “Diffraction of SH-waves across a mixed boundary in a plate,” Mech. Res. Comm., 28, 171 – 178, 2001.
F. Oberhettinger and L. Badii., “Tables of Laplace Transforms,” Springer-Verlang, New York, (1973).
H. M. Zhang and X. F. Chan., “Studies on seismic waves,” Acta Seismologica Sinica, 16, 492 – 502, 2003.
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
R. Sato., “Love waves in case the surface layer is variable in thickness,” J. Phys. Earth, 9, 19-36, 1961.
S. Asghar, and F. D. Zaman., “Diffraction of Love waves by a finite rigid barrier,” Bull. Seis. Soc. Am. 70, 241 – 257 ,1988
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.
W. M. Ewing, W. S. Jardetsky, and F. Press., “Elastic waves in layered media,” McGraw Hill Book Co., (1957).
Mr. Pushpander Kadian
Maharaja Surajmal Institute - India
pushpanderkadian@gmail.com
Dr. Jagdish Singh
- India


CREATE AUTHOR ACCOUNT
 
LAUNCH YOUR SPECIAL ISSUE
View all special issues >>
 
PUBLICATION VIDEOS