岩石破坏演化细观非均质物理元胞自动机模拟研究
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摘要
在传统元胞自动机基本理论的基础上,根据岩石结构细观非均质的特性和前人研究的基础,引进双参数Weibull分布,建立了一个改进的细观非均质物理元胞自动机模型,并利用该模型对不同均质度岩石材料的破坏演化进行动态模拟,模拟结果与试验结果吻合较好。
The rock material is heterogeneous from the construction of microscopic view;and the heterogeneous characteristic is one of most important factors that affect the rock failure pattern. In order to analyze this effect,a micro-heterogeneous physical cellular automata model(Mh-PCA model) is introduced according to cellular automata theory from general power view. In this model,the Moore neighbor is adopted and the Weibull distribution is used for simulating the rock heterogeneousness. Using the Mh-PCA model,the evolvements of rock failure are simulated for four kinds of materials with different homogeneous degrees;and the results show that the heterogeneous characteristic has a great effect on the rock failure;the larger the material homogeneous degree is,the fewer crack branches the rock has. All the results are in agreement with experimental results. The physical cellular automata theory can give a new idea for studying the rock failure.
The rock material is heterogeneous from the construction of microscopic view;and the heterogeneous characteristic is one of most important factors that affect the rock failure pattern. In order to analyze this effect,a micro-heterogeneous physical cellular automata model(Mh-PCA model) is introduced according to cellular automata theory from general power view. In this model,the Moore neighbor is adopted and the Weibull distribution is used for simulating the rock heterogeneousness. Using the Mh-PCA model,the evolvements of rock failure are simulated for four kinds of materials with different homogeneous degrees;and the results show that the heterogeneous characteristic has a great effect on the rock failure;the larger the material homogeneous degree is,the fewer crack branches the rock has. All the results are in agreement with experimental results. The physical cellular automata theory can give a new idea for studying the rock failure.
引文
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[9]谭云亮,周辉,王泳嘉,等.模拟细观非均质材料破坏演化的物理元胞自动机理论[J].物理学报,2001,50(4):704–709.(Tan Yunliang,Zhou Hui,Wang Yongjia,et al. Physical cellular automaton theory for simulating the failure progress of micro-heterogeneous material[J]. Acta Phys. Sin.,2001,50(4):704–709.(in Chinese))
[10]谭云亮,周辉,王泳嘉,等.模拟岩石声发射及混沌性的 PCA模型[J].中国有色金属学报,2002,12(4):802–807.(Tan Yunliang,Zhou Hui,Wang Yongjia,et al. PCA model for simulating AE and chaos in rock failure process[J]. The Chinese Journal of Nonferrous Metals,2002,12(4):802–807.(in Chinese))
[11]周辉,王泳嘉,谭云亮,等.岩体破坏演化的物理细胞自动机(PCA)(Ⅰ)——基本模型[J].岩石力学与工程学报,2002,21(4):475–478.(Zhou Hui,Wang Yongjia,Tan Yunliang,et al. Study on physical cellular automata model of rock mass failure(Ⅰ)—basic model[J]. Chinese Journal of Rock Mechanics and Engineering,2002,21(4):475–478.(in Chinese))
[12]周辉,谭云亮,冯夏庭,等.岩体破坏演化的物理细胞自动机(PCA)(Ⅱ)——模拟例证[J].岩石力学与工程学报,2002,21(6):782–786.(Zhou Hui,Tan Yunliang,Feng Xiating,et al. Study on physical cellular automata model of rock mass failure(Ⅱ)—examples[J]. Chinese Journal of Rock Mechanics and Engineering,2002,21(6):782–786.(in Chinese))
[13]孙吉主,周健,唐春安.影响岩石声发射的几个因素[J].地壳变形与地震,1997,17(2):2–5.(Sun Jizhu,Zhou Jian,Tang Chun′an. Factors affecting acoustic emission of rock[J]. Crustal Deformation and Earthquake,1997,17(2):2–5.(in Chinese))
[2]唐春安.岩石介质细观非均质性对岩石破裂过程影响[J].岩土工程学报,2000,22(6):706–710.(Tang Chun′an. The effect of micro heterogeneous during the rock failure[J]. Chinese Journal of Geotechnical Engineering,2000,22(6):706–710.(in Chinese))
[3] Wolfram S. Statistical mechanics of cellular automata[J]. Reviews of Modern Physics,1983,55(3):601–643.
[4] Hiizu Nakanishi. Cellular-automata of earthquakes with deterministic dynamics[J]. Physical Review A,1990,41(12):7086–7089.
[5]陆远忠,吕悦军.带断层的细胞自动机模型及算法复杂性[J].地震学报,1994,16(2):183–189.(Lu Yuanzhong,Lu Yuejun. Cellular automata model with fracture and algorithm complexity[J]. Acta Seismologica Sinica,1994,16(2):183–189.(in Chinese))
[6]刘桂萍,石耀霖.地震活动性的细胞自动机模型[J].西北地震学报,1995,17(2):20–25.(Liu Guiping,Shi Yaolin. A cellular automaton model of seismicity[J]. Northwestern Seismological Journal,1995,17(2):20–25.(in Chinese))
[7]李幼铭,胡健行.细胞自动机在地震波传播研究中的应用[J].地球物理学报,1995,38(5):651–661.(Li Youming,Hu Jianxing. Application of cellular automata approach to the study of seismic wave propagation[J]. Chinese Journal of Geophysics,1995,38(5):651–661.(in Chinese))
[8]谭云亮,周辉.模拟岩体破坏演化的新途径——物理元胞自动机理论[J].岩石力学与工程学报,2000,19(增):371–373.(Tan Yunliang,Zhou Hui. A new method for modeling rock failure—physical cellular automaton theory[J]. Chinese Journal of Rock Mechanics and Engineering,2000,19(Supp.):371–373.(in Chinese))
[9]谭云亮,周辉,王泳嘉,等.模拟细观非均质材料破坏演化的物理元胞自动机理论[J].物理学报,2001,50(4):704–709.(Tan Yunliang,Zhou Hui,Wang Yongjia,et al. Physical cellular automaton theory for simulating the failure progress of micro-heterogeneous material[J]. Acta Phys. Sin.,2001,50(4):704–709.(in Chinese))
[10]谭云亮,周辉,王泳嘉,等.模拟岩石声发射及混沌性的 PCA模型[J].中国有色金属学报,2002,12(4):802–807.(Tan Yunliang,Zhou Hui,Wang Yongjia,et al. PCA model for simulating AE and chaos in rock failure process[J]. The Chinese Journal of Nonferrous Metals,2002,12(4):802–807.(in Chinese))
[11]周辉,王泳嘉,谭云亮,等.岩体破坏演化的物理细胞自动机(PCA)(Ⅰ)——基本模型[J].岩石力学与工程学报,2002,21(4):475–478.(Zhou Hui,Wang Yongjia,Tan Yunliang,et al. Study on physical cellular automata model of rock mass failure(Ⅰ)—basic model[J]. Chinese Journal of Rock Mechanics and Engineering,2002,21(4):475–478.(in Chinese))
[12]周辉,谭云亮,冯夏庭,等.岩体破坏演化的物理细胞自动机(PCA)(Ⅱ)——模拟例证[J].岩石力学与工程学报,2002,21(6):782–786.(Zhou Hui,Tan Yunliang,Feng Xiating,et al. Study on physical cellular automata model of rock mass failure(Ⅱ)—examples[J]. Chinese Journal of Rock Mechanics and Engineering,2002,21(6):782–786.(in Chinese))
[13]孙吉主,周健,唐春安.影响岩石声发射的几个因素[J].地壳变形与地震,1997,17(2):2–5.(Sun Jizhu,Zhou Jian,Tang Chun′an. Factors affecting acoustic emission of rock[J]. Crustal Deformation and Earthquake,1997,17(2):2–5.(in Chinese))
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