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Title of Journal: J Earth Syst Sci

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Abbravation: Journal of Earth System Science

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Springer India

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DOI

10.1007/978-1-4757-9444-1_10

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0973-774X

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Influence of rigid boundary on the propagation of

Authors: SHISHIR GUPTA REHENA SULTANA SANTIMOY KUNDU
Publish Date: 2015/02/10
Volume: 124, Issue: 1, Pages: 161-170
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Abstract

The present work illustrates a theoretical study on the effect of rigid boundary for the propagation of torsional surface wave in an inhomogeneous crustal layer over an inhomogeneous half space It is believed that the inhomogeneity in the half space arises due to hyperbolic variation in shear modulus and density whereas the layer has linear variation in shear modulus and density The dispersion equation has been obtained in a closed form by using Whittaker’s function which shows the variation of phase velocity with corresponding wave number Numerical results show the dispersion equations which are discussed and presented by means of graphs Results in some special cases are also compared with existing solutions available from analytical methods which show a close resemblance It is also observed that for a layer over a homogeneous half space the velocity of torsional waves does not coincide with that of Love waves in the presence of the rigid boundary whereas it does at the free boundary Graphical user interface GUI software has been developed using MATLAB 75 to generalize the effect of various parameter discussedThe authors convey their sincere thanks to Indian School of Mines Dhanbad for providing JRF to Rehena Sultana and also facilitating us with its best facility Acknowledgement is also due to CSIR New Delhi for providing financial support through Project No 250227/13/EMRII Project title “Study of torsional wave in anisotropic and nonhomogeneous media”


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