Numerical analysis of application limits of Vyalov’s formula for an ice-soil thickness

Artificial ground freezing is an efficient technique which allows one to sink the mine shafts under complex hydrogeological conditions. The aim of artificial ground freezing is a creation of a temporary wall of frozen soil around the intended excavation. To estimate an optimal thickness of an ice-so...

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Main Authors: Maxim Zhelnin, Anastasiia Kostina, Oleg Plekhov, Ivan Panteleev, Lev Levin
Format: Article
Language:English
Published: Gruppo Italiano Frattura 2019-06-01
Series:Fracture and Structural Integrity
Subjects:
Online Access:https://www.fracturae.com/index.php/fis/article/view/2462
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author Maxim Zhelnin
Anastasiia Kostina
Oleg Plekhov
Ivan Panteleev
Lev Levin
author_facet Maxim Zhelnin
Anastasiia Kostina
Oleg Plekhov
Ivan Panteleev
Lev Levin
author_sort Maxim Zhelnin
collection DOAJ
description Artificial ground freezing is an efficient technique which allows one to sink the mine shafts under complex hydrogeological conditions. The aim of artificial ground freezing is a creation of a temporary wall of frozen soil around the intended excavation. To estimate an optimal thickness of an ice-soil wall, the Vyalov’s formula is widely used by engineers. The article is devoted to analysis of Vyalov’s formula on the basis of the numerical simulation. The numerical simulation has been conducted by the finite element method. For the simulation of a stress-strain state of an ice-soil wall a new computational scheme has been proposed. The scheme is based on Vyalov’s design layout for a vertical shaft sinking and takes into account a soil layer beyond the excavation bottom. A mechanical behavior of frozen soil is described by Vyalov’s constitutive relations. As a result, it has been shown that values of the wall thickness given by Vyalov’s formula do not agree with the ones obtained by the numerical simulation. In order to conform results given by Vyalov’s formula and the numerical simulation, two modifications of the formula have been proposed.
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institution Kabale University
issn 1971-8993
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publisher Gruppo Italiano Frattura
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series Fracture and Structural Integrity
spelling doaj-art-574f4ed023294bec8da94df5274f97da2025-01-02T23:01:27ZengGruppo Italiano FratturaFracture and Structural Integrity1971-89932019-06-011349Numerical analysis of application limits of Vyalov’s formula for an ice-soil thicknessMaxim Zhelnin0Anastasiia KostinaOleg PlekhovIvan PanteleevLev LevinInstitute of continuous media mechanics of the Ural Branch of Russian Academy of SciencesArtificial ground freezing is an efficient technique which allows one to sink the mine shafts under complex hydrogeological conditions. The aim of artificial ground freezing is a creation of a temporary wall of frozen soil around the intended excavation. To estimate an optimal thickness of an ice-soil wall, the Vyalov’s formula is widely used by engineers. The article is devoted to analysis of Vyalov’s formula on the basis of the numerical simulation. The numerical simulation has been conducted by the finite element method. For the simulation of a stress-strain state of an ice-soil wall a new computational scheme has been proposed. The scheme is based on Vyalov’s design layout for a vertical shaft sinking and takes into account a soil layer beyond the excavation bottom. A mechanical behavior of frozen soil is described by Vyalov’s constitutive relations. As a result, it has been shown that values of the wall thickness given by Vyalov’s formula do not agree with the ones obtained by the numerical simulation. In order to conform results given by Vyalov’s formula and the numerical simulation, two modifications of the formula have been proposed.https://www.fracturae.com/index.php/fis/article/view/2462Artificial ground freezingMine shaftIce-soil wallInelastic deformationNumerical simulation
spellingShingle Maxim Zhelnin
Anastasiia Kostina
Oleg Plekhov
Ivan Panteleev
Lev Levin
Numerical analysis of application limits of Vyalov’s formula for an ice-soil thickness
Fracture and Structural Integrity
Artificial ground freezing
Mine shaft
Ice-soil wall
Inelastic deformation
Numerical simulation
title Numerical analysis of application limits of Vyalov’s formula for an ice-soil thickness
title_full Numerical analysis of application limits of Vyalov’s formula for an ice-soil thickness
title_fullStr Numerical analysis of application limits of Vyalov’s formula for an ice-soil thickness
title_full_unstemmed Numerical analysis of application limits of Vyalov’s formula for an ice-soil thickness
title_short Numerical analysis of application limits of Vyalov’s formula for an ice-soil thickness
title_sort numerical analysis of application limits of vyalov s formula for an ice soil thickness
topic Artificial ground freezing
Mine shaft
Ice-soil wall
Inelastic deformation
Numerical simulation
url https://www.fracturae.com/index.php/fis/article/view/2462
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AT olegplekhov numericalanalysisofapplicationlimitsofvyalovsformulaforanicesoilthickness
AT ivanpanteleev numericalanalysisofapplicationlimitsofvyalovsformulaforanicesoilthickness
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