Reflection and transmission of seismic waves under initial stress at the earth's core-mantle boundary

In the present paper the influence of the initial stress is shown on the reflection and transmission of P waves at the core-mantle boundary. Taking a particular value of the inherent initial stress, the variations of reflection and transmission coefficients with respect to the angle of emergence are...

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Main Authors: Sukhendu Dey, Sushil Kumar Addy
Format: Article
Language:English
Published: Wiley 1980-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171280000452
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author Sukhendu Dey
Sushil Kumar Addy
author_facet Sukhendu Dey
Sushil Kumar Addy
author_sort Sukhendu Dey
collection DOAJ
description In the present paper the influence of the initial stress is shown on the reflection and transmission of P waves at the core-mantle boundary. Taking a particular value of the inherent initial stress, the variations of reflection and transmission coefficients with respect to the angle of emergence are represented by graphs. These graphs when compared with those having no initial stress show that the effect of the initial stress is to produce a reflected P and S waves with numerically higher amplitudes but a transmitted P wave with smaller amplitude. A method is also indicated in this paper to calculate the actual value of the initial stress near the core-mantle boundary by measuring the amplitudes of incident and reflected P waves.
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spelling doaj-art-e958c3cd74d349ed8e8e6c7c7075a8c12025-08-20T03:21:08ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251980-01-013359159810.1155/S0161171280000452Reflection and transmission of seismic waves under initial stress at the earth's core-mantle boundarySukhendu Dey0Sushil Kumar Addy1Department of Physics and Mathematics, Indian School of Mines, Dhanbad 826004, IndiaDepartment of Physics and Mathematics, Indian School of Mines, Dhanbad 826004, IndiaIn the present paper the influence of the initial stress is shown on the reflection and transmission of P waves at the core-mantle boundary. Taking a particular value of the inherent initial stress, the variations of reflection and transmission coefficients with respect to the angle of emergence are represented by graphs. These graphs when compared with those having no initial stress show that the effect of the initial stress is to produce a reflected P and S waves with numerically higher amplitudes but a transmitted P wave with smaller amplitude. A method is also indicated in this paper to calculate the actual value of the initial stress near the core-mantle boundary by measuring the amplitudes of incident and reflected P waves.http://dx.doi.org/10.1155/S0161171280000452seismic wavesreflection and transmission of P waves.
spellingShingle Sukhendu Dey
Sushil Kumar Addy
Reflection and transmission of seismic waves under initial stress at the earth's core-mantle boundary
International Journal of Mathematics and Mathematical Sciences
seismic waves
reflection and transmission of P waves.
title Reflection and transmission of seismic waves under initial stress at the earth's core-mantle boundary
title_full Reflection and transmission of seismic waves under initial stress at the earth's core-mantle boundary
title_fullStr Reflection and transmission of seismic waves under initial stress at the earth's core-mantle boundary
title_full_unstemmed Reflection and transmission of seismic waves under initial stress at the earth's core-mantle boundary
title_short Reflection and transmission of seismic waves under initial stress at the earth's core-mantle boundary
title_sort reflection and transmission of seismic waves under initial stress at the earth s core mantle boundary
topic seismic waves
reflection and transmission of P waves.
url http://dx.doi.org/10.1155/S0161171280000452
work_keys_str_mv AT sukhendudey reflectionandtransmissionofseismicwavesunderinitialstressattheearthscoremantleboundary
AT sushilkumaraddy reflectionandtransmissionofseismicwavesunderinitialstressattheearthscoremantleboundary