Fractal evolution of a crack network in overburden rock rtratum

A quantitative description for the spatial distribution and the evolution of a crack network in mining rock stratum is one of the most difficult and fundamental problem in the subject of surface subsidence. In this paper, the physical models are employed to simulate the spatial distribution of a cra...

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Main Authors: Guangming Yu, Heping Xie, Jianfeng Zhoa, Lun Yang
Format: Article
Language:English
Published: Wiley 2000-01-01
Series:Discrete Dynamics in Nature and Society
Subjects:
Online Access:http://dx.doi.org/10.1155/S1026022600000388
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author Guangming Yu
Heping Xie
Jianfeng Zhoa
Lun Yang
author_facet Guangming Yu
Heping Xie
Jianfeng Zhoa
Lun Yang
author_sort Guangming Yu
collection DOAJ
description A quantitative description for the spatial distribution and the evolution of a crack network in mining rock stratum is one of the most difficult and fundamental problem in the subject of surface subsidence. In this paper, the physical models are employed to simulate the spatial distribution of a crack network. By using the fractal geometry, the self-similarity of spatial distribution of crack network is discovered. As a result, the conception of fractal crack network is proposed. Furthermore, the evolution of a crack network with the increasing of mining width is investigated. It is shown that (1) the spatial distribution of a crack network displays the fractal behavior, so, the fractal dimension can be used to describe quantitatively the evolution of the crack network, (2) the fractal dimension of the crack network increases with increasing of mining width, (3) the surface subsidence increases with the increasing of fractal dimension of crack network.
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publishDate 2000-01-01
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series Discrete Dynamics in Nature and Society
spelling doaj-art-a65c929c6e404bc884ea5f9a9c8270bd2025-08-20T02:20:48ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2000-01-0151475210.1155/S1026022600000388Fractal evolution of a crack network in overburden rock rtratumGuangming Yu0Heping Xie1Jianfeng Zhoa2Lun Yang3Liaoning Technology University, Fuxin 123000, Liaoning Province, ChinaBeijing Graduate School, China University of Mining and Technology, ChinaLiaoning Technology University, Fuxin 123000, Liaoning Province, ChinaLiaoning Technology University, Fuxin 123000, Liaoning Province, ChinaA quantitative description for the spatial distribution and the evolution of a crack network in mining rock stratum is one of the most difficult and fundamental problem in the subject of surface subsidence. In this paper, the physical models are employed to simulate the spatial distribution of a crack network. By using the fractal geometry, the self-similarity of spatial distribution of crack network is discovered. As a result, the conception of fractal crack network is proposed. Furthermore, the evolution of a crack network with the increasing of mining width is investigated. It is shown that (1) the spatial distribution of a crack network displays the fractal behavior, so, the fractal dimension can be used to describe quantitatively the evolution of the crack network, (2) the fractal dimension of the crack network increases with increasing of mining width, (3) the surface subsidence increases with the increasing of fractal dimension of crack network.http://dx.doi.org/10.1155/S1026022600000388Mining overburden rock stratumFractal crack networkSelf-similarityMining width.
spellingShingle Guangming Yu
Heping Xie
Jianfeng Zhoa
Lun Yang
Fractal evolution of a crack network in overburden rock rtratum
Discrete Dynamics in Nature and Society
Mining overburden rock stratum
Fractal crack network
Self-similarity
Mining width.
title Fractal evolution of a crack network in overburden rock rtratum
title_full Fractal evolution of a crack network in overburden rock rtratum
title_fullStr Fractal evolution of a crack network in overburden rock rtratum
title_full_unstemmed Fractal evolution of a crack network in overburden rock rtratum
title_short Fractal evolution of a crack network in overburden rock rtratum
title_sort fractal evolution of a crack network in overburden rock rtratum
topic Mining overburden rock stratum
Fractal crack network
Self-similarity
Mining width.
url http://dx.doi.org/10.1155/S1026022600000388
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AT hepingxie fractalevolutionofacracknetworkinoverburdenrockrtratum
AT jianfengzhoa fractalevolutionofacracknetworkinoverburdenrockrtratum
AT lunyang fractalevolutionofacracknetworkinoverburdenrockrtratum