Mathematical Modeling of Deformation of Self-stress Rock Mass Surrounding a Tunnel

Лавриков, С. В.; Ревуженко, А. Ф.

doi:10.1007/978-3-030-14987-1_9

Cited by 5 publications

(5 citation statements)

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“…In [41] a classical model (based on the model of Jaeger J.C. [42]) is presented for clastic rock, which is capable of describing the behavior (dispersion) of the dynamic modulus of elasticity in accordance with a power law on the basis of physically substantiated relations. Gradient models (see for example [43,44]) can be considered as a non-classical model capable of reflecting the variance of Young's modulus. Gradient models allow to take into account the heterogeneity of the material structure when describing the change in its elastic characteristics.…”

Section: Discussionmentioning

confidence: 99%

Study of the Influence of Nonlinear Dynamic Loads on Elastic Modulus of Carbonate Reservoir Rocks

et al. 2021

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The paper presents the results of the experimental investigation of carbonate reservoir rocks subjected to quasistatic and nonlinear dynamic loads. During the quasistatic loading the zones of linear elasticity were determined. Dynamic loading of samples was performed at several frequencies and load amplitudes using a testing system. There were two zones found in which the elastic modulus changes nonlinearly in terms of dynamic load frequency. While the frequency of the dynamic load increases from 0 to 10 Hz the dynamic elastic modulus rises according to logarithmic law; while the frequency increases from 10 to 60 Hz elastic modulus rises according to a power law for each load amplitude. The amplitude of the longitudinal strain and phase shift decreases with increasing frequency of the dynamic load. Under the higher strain rates the rock gets stiffer in comparison with rock subjected to smaller strain rate dynamic loading. Saturation of rock samples with distilled water flattening the dependencies of dynamic Young’s modulus on frequency.

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Section: Discussionmentioning

confidence: 99%

Study of the Influence of Nonlinear Dynamic Loads on Elastic Modulus of Carbonate Reservoir Rocks

et al. 2021

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“…The model described in [25][26][27] was used to solve some boundary problems with regard to different properties of rocks, and to describe the rock mass property to accumulate and release elastic energy. Modeling of unstable deformation with regard to internal selfbalancing stresses concentrated in a finite area in rock mass in the vicinity of an arch crosssection tunnel was for the first time undertaken in [28].…”

Section: Mathematical Modelmentioning

confidence: 99%

Mathematical model and numerical calculations of disastrous pressure phenomena in rock mass with weakening cavity

Лавриков

2021

E3S Web Conf.

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The study focuses on deformation and stability of structurally nonuniform rock masses in the vicinity of a mined-out void. Rock masses can for a long time accumulate energy of external forces as internal stresses. The accumulated energy can release both as aseismic relaxation of stresses and as rock bumps and rock bursts. The numerical analysis uses the rock mass model including self-balancing stresses and strength loss. The paper gives examples of calculations of standard problems in mining and illustrates feasibility of modeling disastrous pressure phenomena.

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“…Объемная подвижность -фундаментальное свойство блочной среды [Kocharyan, Spivak, 2003]. Гранулярное течение может не иметь структурного выражения, что Blekhman, 1994;Bobryakov et al, 2010Bobryakov et al, , 2015Bogdanov, Skvortsov, 1992;Budkov, Ostapchuk, 2013;Bykov, 1999;Garagash, 1982Garagash, , 2006Garagash, Nikolaevsky, 1989Gol'din, 2002Gol'din, , 2005Kaibyshev, 2000;Kaibyshev, Pshenichnyuk, 1999;Kosykh, 2008Kosykh, , 2015Kocharyan, 2016;Kocharyan, Spivak, 2003;Lavrikov, Revuzhenko, 1994, 2015, 2019a, 2019bLavrikov et al, 2008;Parton, 2020;Polyakov, 2001;Pospelov, 1972;Psakhie et al, 2010;Revuzhenko, 2000Revuzhenko, , 2003Revuzhenko, , 2013Revuzhenko et al, 1997;Ruzhich, 1997;Sadovsky, 1989;Sadovsky et al, 1988;Sibiryakov, Deev, 2008;Spivak, Kishkina, 2010;Stroganov et al, 2002;Hellan, 1988;Shvab, Martsenko, 2011;Behringer et al, 1999;Cambell, 1990;Drake, 1990;Jullien, 1992;…”

Section: рис 21unclassified

“…При этом скорость накопления деформации тем выше, чем ближе статическая нагрузка к предельной [Adushkin et al, 2009;Kocharyan et al, 2004]. Этот вывод находит подтверждение в численном моделировании [Lavrikov, Revuzhenko, 2019a, 2019bJing, Stephansson, 2007], которое показало, что периодические деформации способны приводить к необратимым изменениям внутренней структуры геосреды и к длительному накоплению упругой энергии, называемой скрытой, собственной, или латентной [Bogomolov et al, 2000;Kosykh V.P., Kosykh P.V, 2017;Kuksenko et al, 2003;Lavrikov, Revuzhenko, 2016;Ponomarev, 2008Ponomarev, , 2011Sibiryakov, Podberezhny, 2006].…”

Section: рис 25 сетка напряжений (стрессовые цепочки)unclassified

“…Кроме того, для различных типов горных пород (габбро, мраморы, песчаники), испытанных в режиме циклического нагружения, установлена независимость предельных деформаций от величины прикладываемых напряжений и числа циклов нагружения. Цикл «нагружение/разгрузка» приводит к увеличению энергетического потенциала деформированного объема, который может запасать до 30 % энергии, затраченной на его деформирование [Lavrikov, Revuzhenko, 2019a, 2019b. Все это приводит к знакопеременной реакции массива на внешние воздействия.…”

Section: рис 25 сетка напряжений (стрессовые цепочки)unclassified

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Tectonics of rock loosening: geological data and physics of the process

Leonov

Кочарян

Ревуженко

et al. 2020

Geodin. tektonofiz.

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Block-granular geological objects and rock volumetric mobility indicators are described. The mechanisms of structural and material reworking of rocks are considered in relation to the formation of a discrete tectonic structure of rocks and changes in the shapes of the geological bodies, which take place without rupturing the rock surfaces bounding these bodies and provide for the volumetric tectonic flow of solid rocks. Based on the study of natural objects and their comparison with the theoretical and experimental data on solid mechanics and geomechanics, it is suggested that one of the triggers for the volumetric disintegration of rock masses is rock fatigue damage (a fundamental phenomenon of solid-state physics). The disintegrated rocks behave according to the laws of mechanics of granular materials and mesomechanics. This study is of both theoretical and pragmatic importance as it contributes to the understanding of the regional geological features and provides new knowledge on the formation of crystalline protrusions known among the main hydrocarbon reservoirs within the basements of various geologic structures.

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Mathematical Modeling of Deformation of Self-stress Rock Mass Surrounding a Tunnel

Cited by 5 publications

References 9 publications

Study of the Influence of Nonlinear Dynamic Loads on Elastic Modulus of Carbonate Reservoir Rocks

Study of the Influence of Nonlinear Dynamic Loads on Elastic Modulus of Carbonate Reservoir Rocks

Mathematical model and numerical calculations of disastrous pressure phenomena in rock mass with weakening cavity

Tectonics of rock loosening: geological data and physics of the process

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