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基于CT试验的岩石细观孔隙模型重构与并行模拟

Three-dimensional parallel numerical simulation of porous rocks based on CT technology and digital image processing
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摘要 由于岩石介质的非均质性、不透明性和多孔隙特性,在物理试验或数值模拟中真实体现其内部三维细观结构具有一定困难。采用CT扫描技术、边缘检测算法、滤波算法、三维点阵映射与重构算法,结合有限元并行计算,建立了可以反映岩体内部细观结构的三维非均匀数值模拟方法。通过对不同孔隙分布特征和孔隙率的玄武岩试样进行CT扫描,构建了三维细观巴西盘数值模型,研究岩石三维细观孔隙对其宏观破坏机制及力学性质的影响。数值试验结果表明:孔隙空间分布特征与孔隙率同时对岩石裂纹扩展模式与抗拉强度产生显著影响,孔隙的存在极大地削弱了玄武岩的抗拉强度;当孔隙率较低且孔隙分布稀疏时,次裂纹较少;当孔隙率较高时,次裂纹较多;采用数字图像处理技术统计计算了试样的孔隙率,并得到孔隙率与抗拉强度呈指数分布的规律。在重构模型中采用中值滤波处理可以提高数字模型的精度,运用所建立的数值模型,可以真实体现岩石的三维精细结构,为研究岩石细观结构对其力学行为的影响提供了一种有效方法。 Due to the heterogeneity, opacity and porosity of rock, it is difficult to truly represent three-dimensional internal meso-structure of rock through physical experiments and numerical simulations. In this study, a 3D non-uniform numerical method was proposed to simulate the porous rock failure based on the parallel finite element method. The CT technology was used to scan the rock specimens and obtain the picture layers. The edge detection algorithm, filtering algorithm and 3 D matrix mapping method were applied to process the scanned pictures and reconstruct the Brazilian disk finite element model of the rock. Thus, 3D numerical Brazilian disk models were constructed, and the influence of the porosity and pore distribution were analyzed numerically. The results indicated that the pore distribution and porosity had significant effects on the crack propagation and tensile strength. The number of the secondary cracks decreased when the porosity was smaller and pores were sparse, while the number of the secondary cracks increased when the porosity increased. The different porosities of numerical specimens were calculated by using the digital image processing method, and the relationship between the tensile strength and porosity followed an exponential function. The porosity of the specimen was obtained by the digital image processing technology, and the law of porosity and tensile strength was exponentially distributed. The median filtering algorithm improved the accuracy of the digital model in the image processing, and the 3 D numerical simulation model reflected the 3D meso-structure of rock-like porous materials, which provided an effective method for studying the mechanical behavior of rock.
作者 郎颖娴 梁正召 段东 曹志林 LANG Ying-xian;LIANG Zheng-zhao;DUAN Dong;CAO Zhi-lin(State Key Laboratory of Coastal and Offshore Engineering,Dalian University of Technology,Dalian,Liaoning 116024,China;Center of Rock Instability and Seismicity Research,Dalian University of Technology,Dalian,Liaoning 116024,China;College of Mining Engineering,Taiyuan University of Technology,Taiyuan,Shanxi 030024,China)
出处 《岩土力学》 EI CAS CSCD 北大核心 2019年第3期1204-1212,共9页 Rock and Soil Mechanics
基金 国家重点研发计划(No.2016YFB0201000) 国家自然科学基金(No.51779031)。
关键词 CT 数字图像处理 玄武岩 数值模拟 孔隙 CT digital image processing basalt numerical simulation pore
作者简介 第--作者:郎颖娴,女,1993年生,硕士研究生,主要从事岩石破坏力学的计算模拟研究。E-mail:langyingxian@mail.dlut.edu.cn;通讯作者:梁正召,男,1977年生,博士,教授,主要从事岩石破坏力学的理论与计算模拟研究。E-mail:LiangZZ@dlut.edu.cn.
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