Numerical modelling of the stress in the Pamir-Hindu Kush region

The current stress state of the Earth's crust in Central Asia depends entirely on the interaction of the Eurasian plate with the Indian and Arabian plates. Moreover, an essential role in this action is played by the subduction process in the Pamir-Hind Kush zone. In this region, deep earthquake...

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Main Authors: Ikram Atabekov, Mirzoid Muminov, Aziz Atabekov
Format: Article
Language:English
Published: KeAi Communications Co., Ltd. 2022-01-01
Series:Geodesy and Geodynamics
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S1674984721000720
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author Ikram Atabekov
Mirzoid Muminov
Aziz Atabekov
author_facet Ikram Atabekov
Mirzoid Muminov
Aziz Atabekov
author_sort Ikram Atabekov
collection DOAJ
description The current stress state of the Earth's crust in Central Asia depends entirely on the interaction of the Eurasian plate with the Indian and Arabian plates. Moreover, an essential role in this action is played by the subduction process in the Pamir-Hind Kush zone. In this region, deep earthquakes and anomalies in seismic velocities indicate subduction of the Indian Plate. To determine the effect of earthquakes on the stress state of the Earth's crust in Central Asia, we analyzed the hypocenters according to the available data over a hundred years. Taking the envelope of the hypocenters as the surface of the subducted indenter, we analyzed its penetration into the mantle. Instead of the pushing force of the indenter, the velocity of the Indian plate is taken into consideration. A model of the stresses is constructed on the equations of creeping motion of a viscous incompressible fluid. The stress variation in the Earth's crust and mantle was calculated as the stress difference before and after the earthquake. The mechanism of earthquakes is modelled by an introduction of equivalent volume forces in the equilibrium equations corresponding to a couple dipoles without a moment. The equations of creeping motion are numerically solved using boundary element methods. Numerical experiments with different physical model parameters for the Earth's crust and mantle were conducted. To introduce the negative buoyancy of the subducting plate, partial eclogitization of the rocks in the collision zone was assumed. As a result, a certain combination of stiffness and density was determined for the lithosphere and mantle, which explained the peculiarities of this region. The influence of crustal and mantle earthquakes in the Pamir-Hindu Kush region on the change in background stresses in Central Asia was analyzed which are not higher than 2–3%.
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spelling doaj.art-89b56bbe33f74c64a4fda39db8f819e62022-12-21T17:21:44ZengKeAi Communications Co., Ltd.Geodesy and Geodynamics1674-98472022-01-011318391Numerical modelling of the stress in the Pamir-Hindu Kush regionIkram Atabekov0Mirzoid Muminov1Aziz Atabekov2Institute of Seismology, Tashkent, 100128, Uzbekistan; Corresponding author.Institute of Seismology, Tashkent, 100128, UzbekistanNational University of Uzbekistan, Tashkent, 100174, UzbekistanThe current stress state of the Earth's crust in Central Asia depends entirely on the interaction of the Eurasian plate with the Indian and Arabian plates. Moreover, an essential role in this action is played by the subduction process in the Pamir-Hind Kush zone. In this region, deep earthquakes and anomalies in seismic velocities indicate subduction of the Indian Plate. To determine the effect of earthquakes on the stress state of the Earth's crust in Central Asia, we analyzed the hypocenters according to the available data over a hundred years. Taking the envelope of the hypocenters as the surface of the subducted indenter, we analyzed its penetration into the mantle. Instead of the pushing force of the indenter, the velocity of the Indian plate is taken into consideration. A model of the stresses is constructed on the equations of creeping motion of a viscous incompressible fluid. The stress variation in the Earth's crust and mantle was calculated as the stress difference before and after the earthquake. The mechanism of earthquakes is modelled by an introduction of equivalent volume forces in the equilibrium equations corresponding to a couple dipoles without a moment. The equations of creeping motion are numerically solved using boundary element methods. Numerical experiments with different physical model parameters for the Earth's crust and mantle were conducted. To introduce the negative buoyancy of the subducting plate, partial eclogitization of the rocks in the collision zone was assumed. As a result, a certain combination of stiffness and density was determined for the lithosphere and mantle, which explained the peculiarities of this region. The influence of crustal and mantle earthquakes in the Pamir-Hindu Kush region on the change in background stresses in Central Asia was analyzed which are not higher than 2–3%.http://www.sciencedirect.com/science/article/pii/S1674984721000720Pamir-hindu kushStress stateMantle earthquakesBoundary element method
spellingShingle Ikram Atabekov
Mirzoid Muminov
Aziz Atabekov
Numerical modelling of the stress in the Pamir-Hindu Kush region
Geodesy and Geodynamics
Pamir-hindu kush
Stress state
Mantle earthquakes
Boundary element method
title Numerical modelling of the stress in the Pamir-Hindu Kush region
title_full Numerical modelling of the stress in the Pamir-Hindu Kush region
title_fullStr Numerical modelling of the stress in the Pamir-Hindu Kush region
title_full_unstemmed Numerical modelling of the stress in the Pamir-Hindu Kush region
title_short Numerical modelling of the stress in the Pamir-Hindu Kush region
title_sort numerical modelling of the stress in the pamir hindu kush region
topic Pamir-hindu kush
Stress state
Mantle earthquakes
Boundary element method
url http://www.sciencedirect.com/science/article/pii/S1674984721000720
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AT mirzoidmuminov numericalmodellingofthestressinthepamirhindukushregion
AT azizatabekov numericalmodellingofthestressinthepamirhindukushregion