The concept of fractured rock-mass modeling using DFN-based statistical volume elements

The overall mechanical response of a fractured rock mass is, to a large extent, affected by naturally occurring fractures that exhibit sizes from millimeters to kilometers. Thus, in analysis of underground structures, such as tunnels, it is required that the fractures’ influence on the stress and d...

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Main Authors: Martin Lebeda, Petr Kabele
Format: Article
Language:English
Published: CTU Central Library 2024-11-01
Series:Acta Polytechnica CTU Proceedings
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Online Access:https://ojs.cvut.cz/ojs/index.php/APP/article/view/10208
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author Martin Lebeda
Petr Kabele
author_facet Martin Lebeda
Petr Kabele
author_sort Martin Lebeda
collection DOAJ
description The overall mechanical response of a fractured rock mass is, to a large extent, affected by naturally occurring fractures that exhibit sizes from millimeters to kilometers. Thus, in analysis of underground structures, such as tunnels, it is required that the fractures’ influence on the stress and deformation state in the vicinity of the structure is taken into account. In the present work, we examine the applicability of the statistical volume element (SVE) approach to determining the apparent stiffness tensor of an equivalent continuum representation of the fractured rock, which is then used in the framework of the finite element method. The equivalent continuum properties are determined by volume-averaging the effect of individual fractures that intersect the SVE, while the fractures are represented using the “parallel plate model”. Stochastically generated discrete fracture networks are used to represent the fractures’ geometry. Presently, we solve the problem linearly for an incremental change of the stress state. An application of the concept is demonstrated on simulation of tunnel excavation.
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spelling doaj-art-fdcf040d458048b982d2edfdc2d6fe712024-12-06T13:04:18ZengCTU Central LibraryActa Polytechnica CTU Proceedings2336-53822024-11-014910.14311/APP.2024.49.0048The concept of fractured rock-mass modeling using DFN-based statistical volume elementsMartin Lebeda0Petr Kabele1Czech Technical University in Prague, Faculty of Civil Engineering, Department of Mechanics, Thákurova 7, 166 29 Prague, Czech RepublicCzech Technical University in Prague, Faculty of Civil Engineering, Department of Mechanics, Thákurova 7, 166 29 Prague, Czech Republic The overall mechanical response of a fractured rock mass is, to a large extent, affected by naturally occurring fractures that exhibit sizes from millimeters to kilometers. Thus, in analysis of underground structures, such as tunnels, it is required that the fractures’ influence on the stress and deformation state in the vicinity of the structure is taken into account. In the present work, we examine the applicability of the statistical volume element (SVE) approach to determining the apparent stiffness tensor of an equivalent continuum representation of the fractured rock, which is then used in the framework of the finite element method. The equivalent continuum properties are determined by volume-averaging the effect of individual fractures that intersect the SVE, while the fractures are represented using the “parallel plate model”. Stochastically generated discrete fracture networks are used to represent the fractures’ geometry. Presently, we solve the problem linearly for an incremental change of the stress state. An application of the concept is demonstrated on simulation of tunnel excavation. https://ojs.cvut.cz/ojs/index.php/APP/article/view/10208fractured rock massdiscrete fracture network (DFN)finite element method (FEM)statistical volume element (SVE)
spellingShingle Martin Lebeda
Petr Kabele
The concept of fractured rock-mass modeling using DFN-based statistical volume elements
Acta Polytechnica CTU Proceedings
fractured rock mass
discrete fracture network (DFN)
finite element method (FEM)
statistical volume element (SVE)
title The concept of fractured rock-mass modeling using DFN-based statistical volume elements
title_full The concept of fractured rock-mass modeling using DFN-based statistical volume elements
title_fullStr The concept of fractured rock-mass modeling using DFN-based statistical volume elements
title_full_unstemmed The concept of fractured rock-mass modeling using DFN-based statistical volume elements
title_short The concept of fractured rock-mass modeling using DFN-based statistical volume elements
title_sort concept of fractured rock mass modeling using dfn based statistical volume elements
topic fractured rock mass
discrete fracture network (DFN)
finite element method (FEM)
statistical volume element (SVE)
url https://ojs.cvut.cz/ojs/index.php/APP/article/view/10208
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