Ground deformation due to interaction between infinite and finite dip-slip fault in a viscoelastic half-space of standard linear solid (SLS)

Kundu, Piu

doi:10.1007/s12517-022-10311-2

Cited by 3 publications

(2 citation statements)

References 23 publications

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“…The characterization and classification of interacting faults have been described by [22]. Several researchers ( [16], [17], [18], [20]) described ground deformation due to fault interactions in viscoelastic medium using Maxwell, Standard linear solid and Burger model. They also provides the concepts of applications of fractional order differential calculus in the modelling of viscoelastic systems.…”

Section: Introductionmentioning

confidence: 99%

On the Investigation of Interacting Fault Movement in a Viscoelastic Structure

Kundu¹,

Negi²

2023

Preprint

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Investigations of the effects of ground deformation due to fault movement on surface and subsurface engineering structures are important owing to their direct impact on the reduction of earthquake damage. This ground deformation has a great impact on displacement and stress-strain accumulation due to fault movement. In this study, a theoretical model of aseismically creeping, interacting, inclined, buried and strike-slip fault has been considered and the fault model located in a visco-elastic half-space of Maxwell medium. The analytical solution of displacement, stress and strain components in the absence of fault movement and due to interaction between the faults has been obtained by using the correspondence principle in terms of Mittag-Leffler function and Green's function. The obtained results has been studied graphically which may helps us to study earthquake prediction program.

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Section: Introductionmentioning

confidence: 99%

On the Investigation of Interacting Fault Movement in a Viscoelastic Structure

Kundu¹,

Negi²

2023

Preprint

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“…The exact solutions and numerical computations for displacement, stresses and strains in viscoelastic half space/layered medium for different model has been obtained by Mondal and Sarkar (Mondal) (2019 [17]), Kundu et al (2021 [18]), Mondal and Kundu (2020 [19]), Kundu and Sarkar (2020 [20]). The study of accumulation/release of stress and strain for overlapping zone has also been studied by Kundu (2022) [21].…”

Section: Introductionmentioning

confidence: 99%

Determination of effect of the movement of an infinite fault in viscoelastic half space of standard linear solid using fractional calculus

Mahato

Mondal²,

Sarkar³

2022

Phys. Scr.

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The subsurface deformation which is observed in seismic region during aseismic period has a great impact on displacement and stress-strain accumulation due to earthquake fault movement. In this paper we have considered a theoretical model of aseismically creeping, buried, inclined, infinite strike-slip fault located in viscoelastic half space of standard linear-solid medium. Our main objective is to find the analytical solutions of displacement, stresses, strains (a) in the absence of any fault movement and (b) after the commencement of fault movement with the help of Laplace transformation and Green’s function technique using fractional calculus taking Mittag-Leffler function and then to determine the numerical results of displacement, stresses and strains with different creep velocities for various inclinations of the fault using suitable model parametric values ([3], [7], [12], [26]). It is observed that the fault in our model exceeds the critical stress at about 117 years if it is a vertical fault while at about 141 years if the fault is inclined at an angle π/3 with the free surface. A comparative study has been done with the paper [24] and the numerical results are found to be in good agreement with it. This study may help in developing the earthquake prediction program.

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On the Investigation of Interacting Fault Movement in a Viscoelastic Structure

Kundu

2024

Springer Proceedings in Physics

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Ground deformation due to interaction between infinite and finite dip-slip fault in a viscoelastic half-space of standard linear solid (SLS)

Cited by 3 publications

References 23 publications

On the Investigation of Interacting Fault Movement in a Viscoelastic Structure

On the Investigation of Interacting Fault Movement in a Viscoelastic Structure

Determination of effect of the movement of an infinite fault in viscoelastic half space of standard linear solid using fractional calculus

On the Investigation of Interacting Fault Movement in a Viscoelastic Structure

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