https://doi.org/10.1140/epjp/s13360-023-04612-y
Regular Article
Evolution of modulated seismic waves under the external influence of magma up flow
Department of Physics, Higher Teacher Training College Bambili, The University of Bamenda, P.O. Box 39, Bambili, Cameroon
Received:
1
June
2023
Accepted:
17
October
2023
Published online:
28
October
2023
During the occurrence of an earthquake, seismic waves usually carry huge amount of energy through rock materials of the earth crust. By using the method of multiple scale expansion in the semi-discrete approximation, the forced/damped nonlinear Schr
dinger equation is derived from the modified Burridge–Knopoff model of earthquake fault in which the external influence of magma up flow is considered. Based on the Lagrangian variational approach, we obtained analytical solution of the amplitude equation as modulated seismic waves. It is shown that an increase in the magnitude of the magma thrust force triggered by volcanic eruptions, generally leads to more localized and violent vibrations of earthquake. Results of numerical simulations equally reveal the long-term stability of the modulated seismic waves in a regime of weak damping and magma thrust forces. This study provides a sound theoretical foundation in seismology, as the evolution of modulated seismic waves may serve as a precursor for the occurrence of earthquakes and volcanic eruptions.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
