International Journal of Mathematics and Mathematical Sciences
Volume 3 (1980), Issue 3, Pages 591-598

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

Sukhendu Dey and Sushil Kumar Addy

Department of Physics and Mathematics, Indian School of Mines, Dhanbad 826004, India

Received 19 December 1978

Copyright © 1980 Sukhendu Dey and Sushil Kumar Addy. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.