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Stochastic strike-slip fault as earthquake source model
Version 1
: Received: 9 August 2023 / Approved: 10 August 2023 / Online: 11 August 2023 (09:02:09 CEST)
A peer-reviewed article of this Preprint also exists.
Gapeev, M.; Solodchuk, A.; Parovik, R. Stochastic Strike-Slip Fault as Earthquake Source Model. Mathematics 2023, 11, 3932. Gapeev, M.; Solodchuk, A.; Parovik, R. Stochastic Strike-Slip Fault as Earthquake Source Model. Mathematics 2023, 11, 3932.
Abstract
It is known that the source of a tectonic earthquake in the framework of the theory of elasticity and viscoelasticity is considered as a displacement along a certain fault surface. Usually, when describing the source, the geometry of the fault surface is simplified to a flat rectangular area. The displacement vector is assumed to be constant. In this paper, we propose a model of an earthquake source in the form of a displacement with a constant vector along a stochastic surface. A number of standard assumptions were made when modeling. We take into account only the elastic properties of the medium. We consider the Earth’s crust as a half-space and assume that the medium is homogeneous and isotropic. For the mathematical description of the earthquake source, we use the classical force equivalent of displacement along the fault. This is the distribution of double pairs of forces. The field of displacements under the action of body forces is found through a combination of Mindlin nuclei of strain. The paper presents solutions for strike-slip fault. To obtain a stochastic fault surface, we propose to introduce a random deformation of a rectangular flat surface. The paper presents the results of a computational experiment comparing the levels and regions of relative deformations of the Earth’s crust in the case of displacement along a flat rupture surface and along a stochastic one. In the case of a stochastic surface, the regions of relative deformations become asymmetric. The developed model will help to indirectly take into account various mechanical properties of the Earth’s crust when modeling deformations caused by earthquakes.
Keywords
stochastic fault surface; earthquake source model; elasticity theory
Subject
Environmental and Earth Sciences, Geophysics and Geology
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.
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