Article
Version 1
Preserved in Portico This version is not peer-reviewed
Seismological Problem, Seismic Waves and the Seismic Mainshock
Version 1
: Received: 7 August 2023 / Approved: 8 August 2023 / Online: 8 August 2023 (07:17:12 CEST)
A peer-reviewed article of this Preprint also exists.
Apostol, B.F. Seismological Problem, Seismic Waves and the Seismic Mainshock. Mathematics 2023, 11, 3777. Apostol, B.F. Seismological Problem, Seismic Waves and the Seismic Mainshock. Mathematics 2023, 11, 3777.
Abstract
The elastic wave equation with the seismic tensorial force is
solved in a homogeneous and isotropic medium (the Earth).
Spherical-shell waves are obtained, which are associated to the
primary P and S seismic waves. It is shown that these waves
produce secondary waves with sources on the plane surface of a
half-space, which have the form of abrupt walls with a long tail,
propagating in the interior and on the surface of the half-space.
These secondary waves are associated to the seismic mainshock.
The results, previously reported, are re-derived by using Fourier
transformations and specific regularization procedures. The
relevance of this seismic motion for the ground motion, the
seismographs' recordings and the effect of the inhomogeneities in
the medium are discussed.
Keywords
primary seismic waves; seismic mainshock; elastic wave equation; seismic tensorial force; regularization
Subject
Physical Sciences, Mathematical Physics
Copyright: 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.
Comments (0)
We encourage comments and feedback from a broad range of readers. See criteria for comments and our Diversity statement.
Leave a public commentSend a private comment to the author(s)
* All users must log in before leaving a comment
