AN APPLICATION OF FRACTIONAL CALCULUS TO
GEOPHYSICS: EFFECT OF A STRIKE-SLIP FAULT ON
DISPLACEMENT, STRESSES AND STRAINS IN
A FRACTIONAL ORDER MAXWELL TYPE
VISCO-ELASTIC HALF SPACE
Debabrata Mondal1, Papiya Debnath2
1 Sitananda College, Nandigram
Department of Mathematics
Nandigram-721631, West Bengal, INDIA
2 Techno International New Town
Dept. of Basic Science and Humanities (Mathematics)
Rajarhat, Kolkata-700156, West Bengal, INDIA

Abstract

In this paper a creeping movement across a very long, strike-slip fault vertical to the free surface and of finite width is considered in an isotropic, homogeneous, visco-elastic fractional order Maxwell type half space. A mathematical model for such fault movement is developed during the period when there is no fault movement and also for the aseismic period which is restored after the creeping movement. The analytical expressions of displacement, stresses and strains for both the period are determined by the use of Green's function technique and correspondence principle in terms of Mittag-Leffler function. Finally these displacement, stresses and strains are numerically computed with suitable values of the model parameters and the results thus obtained are presented graphically . A detailed study of these expressions can focus some light on the nature of the stress accumulation near the fault and the study of such earthquake fault dynamical models helps us to understand mechanism of the lithosphere-asthenosphere system.

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 34
Issue: 5
Year: 2021

DOI: 10.12732/ijam.v34i5.2

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