基于数字图像处理的非均质岩石材料破坏过程模拟
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摘要
以三峡花岗岩为例,利用有限差分程序FLAC进行非均质岩石材料的破坏过程模拟。首先,利用花岗岩微观结构观测图像确定数值模拟计算网格的合适尺寸;进一步结合花岗岩的矿物鉴定结果,在数字图像处理的基础上,利用模糊C均值聚类方法,实现了数值计算模型与材料真实细观结构的耦合分析,形成了一套较完整的、更加方便快捷的非均质岩石材料数字图像处理技术。在此基础上,利用同批次三峡花岗岩的经验应变软化模型,进行了单轴抗压下岩石的剪切带分布及裂纹破坏过程模拟,对破坏过程中的应力集中现象进行了探讨。最后,围绕该花岗岩岩样进行了不同围压三轴压缩的数值仿真研究,得到了一些有益的结论,同时也表明,在岩石破裂过程数值模拟分析中引入数字图像处理技术是岩石细观结构破坏力学行为研究的一种方便而有效的方法。
For the Three Gorges granite,a finite difference software package FLAC is used to study failure process of heterogeneous rock material.Firstly,proper scale of finite difference grids is under consideration with scanning electron microscopy photo of the granite.Based on mineral components identification results of the granite and fuzzy clustering method,the actual image data are transformed into the finite difference grid by applying image processing techniques.A convenient and efficient two-dimensional numerical modeling method for heterogeneous geomaterials is presented.Furthermore,shear bond propagation and failure process of the granite are simulated in uniaxial compression test based on experimental strain soft model;and stress concentration phenomena are analyzed.Finally,numerical simulation of granite samples under different triaxial compression tests is studied.The results show that the numerical modeling method based on digital image processing can be used to calculate the mechanical responses of geomaterials by taking their heterogeneities into considerations.
For the Three Gorges granite,a finite difference software package FLAC is used to study failure process of heterogeneous rock material.Firstly,proper scale of finite difference grids is under consideration with scanning electron microscopy photo of the granite.Based on mineral components identification results of the granite and fuzzy clustering method,the actual image data are transformed into the finite difference grid by applying image processing techniques.A convenient and efficient two-dimensional numerical modeling method for heterogeneous geomaterials is presented.Furthermore,shear bond propagation and failure process of the granite are simulated in uniaxial compression test based on experimental strain soft model;and stress concentration phenomena are analyzed.Finally,numerical simulation of granite samples under different triaxial compression tests is studied.The results show that the numerical modeling method based on digital image processing can be used to calculate the mechanical responses of geomaterials by taking their heterogeneities into considerations.
引文
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[19]朱泽奇,盛谦,张占荣.脆性岩石侧向变形特征及损伤机理研究[J].岩土力学,2008,29(8):2137-2143.ZHU Ze-qi,SHENG Qian,ZHANG Zhan-rong.Study of lateral deformational characteristics and damage mechanism of brittle rock[J].Rock and Soil Mechanics,2008,29(8):2137-2143.
[2]TANG C A,LIU H,LEE P K K,et al.Numerical tests on micro-macro relationship of rock failure under uniaxial compression—Part I:Effect of heterogeneity[J].Inter-national Journal of Rock Mechanics and Mining Sciences,2000,37(4):555-569.
[3]TANG C A,THAM L G,LEE P K K,et al.Numerical tests on micro-macro relationship of rock failure under uniaxial compression—Part II:Constraint,slenderness and size effect[J].International Journal of Rock Mechanics and Mining Sciences,2000,37(4):571-583.
[4]唐春安,赵文.岩石破裂全过程分析软件系统RFPA2D[J].岩石力学与工程学报,1997,16(5):507-508.TANG Chun-an,ZHAO Wen.RFPA2D system for rock failure process analysis[J].Chinese Journal of Rock Mechanics and Engineering,1997,16(5):507-508.
[5]李连崇,杨天鸿,唐春安,等.岩石水压致裂过程的耦合分析[J].岩石力学与工程学报,2003,22(7):1060-1066.LI Lian-chong,YANG Tian-hong,TANG Chun-an,et al.Coupling analysis of hydraulic fracturing process of rock[J].Chinese Journal of Rock Mechanics and Engineering,2003,22(7):1060-1066.
[6]朱万成,唐春安,黄志平,等.静态和动态荷载作用下岩石劈裂破坏模式的数值模拟[J].岩石力学与工程学报,2005,24(1):1-7.ZHU Wan-cheng,TANG Chun-an,HUANG Zhi-ping,et al.Numerical simulation on splitting failure mode of rock under static and dynamic loadings[J].Chinese Journal of Rock Mechanics and Engineering,2005,24(1):1-7.
[7]FANG Z,HARRISON J P.Development of a local degradation approach to the modeling of brittle fracture in heterogeneous rocks[J].International Journal of Rock Mechanics and Mining Sciences,2002,39(4):443-457.
[8]FANG Z,HARRISON J P.Application of a local degradation model to the analysis of brittle fracture of laboratory scale rock specimens under triaxial conditions[J].International Journal of Rock Mechanics and Mining Sciences,2002,39(4):459-476.
[9]YUE Z Q,CHEN S,THAM L G.Finite element modeling of geomaterials using digital image processing[J].Com-puters and Geotechnics,2003,30(5):375-397.
[10]岳中琦,陈沙,郑宏,等.岩土工程材料的数字图像有限元分析[J].岩石力学与工程学报,2004,23(6):889-897.YUE Zhong-qi,CHEN Sha,ZHENG Hong,et al.Digital image processing based on finite element method for geomaterials[J].Chinese Journal of Rock Mechanics and Engineering,2004,23(6):889-897.
[11]CHEN S,YUE Z Q,THAM L G.Digital image-based numerical modeling method for prediction of inhomogeneous rock failure[J].International Journal of Rock Mechanics and Mining Sciences,2004,41(6):939-957.
[12]陈沙,岳中琦,谭国焕.基于数字图像的非均质岩土工程材料数值分析方法[J].岩土工程学报,2005,27(8):956-964.CHEN Sha,YUE Zhong-qi,THAM L G.Digital image based numerical modeling method for heterogeneous geomaterials[J].Chinese Journal of Geotechnical Engineering,2005,27(8):956-964.
[13]KWAN A K H,MORA C F,CHAN H C.Particle shape analysis of coarse aggregate using digital image processing[J].Cement and Concrete Research,1999,29(9):1403-01.
[14]LEBOURG I,RISS J,PIRARD E.Influence of morphological characteristics of heterogeneous moraine formations on their mechanical behaviour using image and statistical analysis[J].Engineering Geology,2004,73(1-2):37-50.
[15]XU W J,YUE Z Y,HU R L.Study of the mesostructure and mesomechanical characteristics of the soil-rock mixture using digital image processing based finite element method[J].International Journal of Rock Mechanics and Mining Sciences,2008,45(5):749-762.
[16]何广讷,朱范宇,张业民.场地砂土地震液化的模糊聚类分析[J].地震工程与工程振动,1989,9(4):83-91.HE Guang-na,ZHU Fan-yu,ZHANG Ye-min.Fuzzy clustering analysis for predicting seismic liquefaction potential of sandy deposits[J].Earthquake Engineering and Engineering Vibration,1989,9(4):83-91.
[17]NASRABADI N M,KATSAGGELOS A K.Applications of artificial neural networks in image processing IV[M].California:SPIE,1997.
[18]张帆,盛谦,朱泽奇,等.三峡花岗岩峰后力学特性及应变软化模型研究[J].岩石力学与工程学报,2008,27(增刊1):2651-2655.ZHANG Fan,SHENG Qian,ZHU Ze-qi,et al.Study of post-peak mechanical behaviour and strain-softening model of the Three Gorges granite[J].Chinese Journal of Rock Mechanics and Engineering,2008,27(Supp.1):2651-2655.
[19]朱泽奇,盛谦,张占荣.脆性岩石侧向变形特征及损伤机理研究[J].岩土力学,2008,29(8):2137-2143.ZHU Ze-qi,SHENG Qian,ZHANG Zhan-rong.Study of lateral deformational characteristics and damage mechanism of brittle rock[J].Rock and Soil Mechanics,2008,29(8):2137-2143.
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