W. J. Xu [1] M. C. Weng [2] [3] [4] [5] [6] [7] [8] [9] J. M. Xu [10] J. J. Charles [11] T. L. Nguyen [12] B. Grasemann [13] Fourier (Four

Size: px

Start display at page:

Download "W. J. Xu [1] M. C. Weng [2] [3] [4] [5] [6] [7] [8] [9] J. M. Xu [10] J. J. Charles [11] T. L. Nguyen [12] B. Grasemann [13] Fourier (Four"

颤谢
6 years ago
Views:

1 35 8 Vol.35 No Chinese Journal of Rock Mechanics and Engineering Aug.2016 刘芳 12 徐金明 ( 工 ) 1 Fourier Fourier 花岗岩 ; 视频图像 ; 细观组分 ; 运动 ;Fourier 变换 TU 45 A (2016) An investigation on movements of meso-compositions of granite specimen using video image processing LIU Fang 12 XU Jinming 1 (1. Department of Civil EngineeringShanghai UniversityShanghai China2. Branch of Ship and Construction EngineeringJiaxing Nanyang Polytechnic InstituteJiaxingZhejiang China) AbstractThe analysis of the movements of various meso-compositions of granite specimen is of great significance in exploring the deformation/failure process of rock material and can be performed using the video image processing techniques. In the current studythe video images were photographed during the laboratory axial compression test. The frame images were extracted from the original video recordings and transformed into the grayscale and binary ones. The actual distributions of the quartzfeldsparand biotite existed on the specimen were pin-pointed according to the image features of the corresponding compositions. The Fourier transform based shape indices were then used to describe the geometry features and to examine the changes of the indices with time. The particle image velocimetry technique was thereafter used to compute the displacements of various meso-compositions at different times. The relations between the deformation/failure of the specimen and the movement directions/sequences of the meso-compositions were also explored. It shows that Fourier indices may effectively quantify the shape characteristics and their changes of meso-materials on the granite specimen. During the axial compressionthe failure of the meso-compositions in the granite specimen were in sequence of biotite feldsparand quartz. The components perpendicular to the axial load were the principal parts of the displacements in these minerals. Key wordsrock mechanicsgranitevideo imagemeso-compositionmovementfourier transform ( ) Supported by the Natural Sciences Foundation of China(Grant Nos and ) (1983)2005 liufangfc@126.com (1963) xjming@shu.edu.cn DOI /j.cnki.jrme

2 W. J. Xu [1] M. C. Weng [2] [3] [4] [5] [6] [7] [8] [9] J. M. Xu [10] J. J. Charles [11] T. L. Nguyen [12] B. Grasemann [13] Fourier (Fourier )Fourier R. Wettimuny D. Penumadu [14] Fourier J. P. Macsleyne [15] L. B. Wang [16] Fourier [17] Fourier () Fourier Fourier mm 50 mm 50 mm HDR-CX150E Sony MTS ( 1) /MPa Fig.1 Stress-strain curve of granite specimen 2.2 MTS (AVI ) 315 s 25 /s () 2 ( )( )( )( ) mm mm/pixel 24 mm 3 ()()( ) 3

1604 2016 Y/mm 50 40 30 20 10 0 0 10 20 30 40 50 60 70 80 90 Y/mm

3 Cropped regions in grayscale image 3 Fourier 3.

2 Fourier [18] [19] Fourier (XY) ( 5) Fourier R( ) a0 [ amcos( m)

Fourier a 0 m ab (m ) (1)R(θ) θ (0θ2π) Fourier m ( n 3 ) 3 Fourier

3 Y/mm Y/mm X/mm 2 Fig.2 A frame in video image X/mm 3 Fig.3 Cropped regions in grayscale image 3 Fourier 3.1 () [084)[84 145)[145255] Fourier [18] [19] Fourier (XY) ( 5) Fourier R( ) a0 [ amcos( m) bmsin( m)] (1a) m1 1 2 a0 R( )d 2 (1b) 0 R(θ)a m b m (m = 12) Fourier a 0 m ab (m ) (1)R(θ) θ (0θ2π) Fourier m ( n 3 ) 3 Fourier F F F n1 m1 A m mn1n2 mn1 1 mn3 mn1n21 Am A m (2a) (a) (b) (c) 4 Fig.4 Distributions of meso-compositions on surface of granite specimen

boundary of an image object A a b (2b) 2 2

Wang [16] ) (2) n 1 n 2 n 3 n 1 n 2 n 3 n

6 6(a)F 1 n 1 n 1 =5 n 1 5 n 1 F 1 n 1 = 5

6(c)F 3 n 3 = 50 n 3 = 50 Fourier n 1 = 5n

3 n 1 n 2 n 3 (a) (b) (c) 6 Fourier Fig.

S3 B4 B5 Q4 Q5 S5 S4 (a) (b) (c) 7 Fourier

4 Fourier Fig.5 Description of Fourier transform for boundary of an image object A a b (2b) 2 2 m m m R() A m F 1 F 2 F 3 (L. B. Wang [16] ) (2) n 1 n 2 n 3 n 1 n 2 n 3 n 1 n 2 n 3 Fourier (2) n 1 n 2 n 3 Fourier 6 6(a)F 1 n 1 n 1 =5 n 1 5 n 1 F 1 n 1 = 5 6(b)F 2 n 2 = 20 n 2 20 n 2 F 2 n 2 = 20 6(c)F 3 n 3 = 50 n 3 = 50 Fourier n 1 = 5n 2 = 20n 3 = ( 7) n 1 n 2 n 3 1 /10 3 n 1 n 2 n 3 (a) (b) (c) 6 Fourier Fig.6 Fourier-transform-based shape descriptors of meso-compositions on granite specimen B1 B2 Q1 Q2 Q3 S1 S2 B3 S3 B4 B5 Q4 Q5 S5 S4 (a) (b) (c) 7 Fourier Fig.7 Locations of selected particles in computing Fourier-transform-based shape descriptors

5 表 1 花岗岩细观组分的 Fourier 变换指数 Table 1 Fourier-transform-based shape descriptors of meso-compositions on granite specimens Fourier 变换指数岩石类别颗粒编号形状系数棱角指数纹理系数 B B ( 100 ) Fourier s(= 1/25 s) 1 s 8 7 B1 Q2 S1 Fourier 黑云母 B 石英 B B Q Q Q Q Q S /s (a) S 长石 S S S B1 B4 Q1 Q3 S1 S5 7 1 B1 Q5 S4 7 1 B1Q3 S4 Fourier 3.3 Fourier 300 s s 2 时间 /s (b) 时间 /s (c) 8 Fourier Fig.8 Changes of Fourier-transform-based shape descriptors for selected particles on granite specimen 8 Fourier B1 Q2 S1 的 Fourier 6.0,7.3, 6.5 s

6 水平位置 /mm /mm Q1 Q2 Q3 4 Q4 Q () / s 9 B1 B3 B2B4B5 Q1 Q 2Q3Q4 Q5 S3 S4 S1S2 S5 /mm 水平位置 /mm B2 B1 B3 B4 B5 (a) 黑云母 /mm (b) 石英水平位置 /mm S2 S1 S3 S5 S4 (c) 长石 9 Fig.9 Displacements of meso-compositions on granite specimen () 5 3 Fourier ( 棱角指数纹理系数 ) Fourier (1) Fourier (2) Fourier (3)

7 (References) [1] XU W JYUE Z QHU R L. Study on 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 Sciences200845(5) [2] WENG M CTUNG S HSHIH M H. Microscopic characteristics of problematic tertiary sandstone as revealed by grain-wide local deformation[j]. International Journal of Rock Mechanics and Mining Sciences200918(7) [3]. [J] (8) (WEN ShiyiLI JingSU Xiaet al. Studies of mesomechanical structure characters of surrounding rock failure under complex stress state[j]. Rock and Soil Mechanics201031(8) (in Chinese)) [4]. [J] (8) (LIU ZhaoweiLI Yuanhai. Experimental investigation on the deformation and crack behavior of rock specimen with a hole under going uniaxial compressive load[j]. Engineering Mechanics201027(8) (in Chinese)) [5]. [J] (12) (ZHU ZeqiXIAO PeiweiSHENG Qianet al. Nummerical simulation of fracture propagation of heterogeneous rock material based on digital image processing[j]. Rock and Soil Mechanics201132(12) (in Chinese)) [6]. [J] (10) (XU JinmingHAN Nana LI Yansong. Image features of localized deformation of limestone[j]. Chinese Journal of Rock Mechanics and Engineering (10) (in Chinese)) [7]. [J] (5)96101.(CHEN ZhongyiXU JinmingLIU Fang. Investigation of the initiation and propagation of multi-cracks in granite[j]. Hydrogeology and Engineering Geology (5)96101.(in Chinese)) [8]. [J] (11) (YU Qinglei YANG Tianhong ZHENG Chao et al. Numerical analysis of influence of rock mesostructure on its deformation and strength[j]. Rock and Soil Mechanics201132(11) (in Chinese)) [9]. [J] (8) (CHEN ShaYUE ZhongqiTAN Guohuan. Digital image based numerical modeling method for heterogeneous geomaterials[j]. Chinese Journal of Geotechnical Engineering200527(8) (in Chinese)) [10] XU J MCHENG C HLU H Pet al. Strain field investigation of limestone specimen under uniaxial compression loads using particle image velocimetry[j]. Journal of Central South University of Technology201118(5) [11] CHARLES J JKUNCHEVA L IWELLS Bet alstability of Kerogen classification with regard to image segmentation[j]. Mathematical Geosciences200941(4) [12] NGUYEN T LHALL S AVACHER Pet al. Fracture mechanisms in soft rock. Identification and quantification of evolving displacement discontinuities by extended digital image correlation[j]. Tectonophysics (1/2) [13] GRASEMANN BEXNER UTSCHEG G. Displacement-length scaling of brittle faults in ductile shear[j]. Journal of Structural Geology201133(11) [14] WETTIMUNY RPENUMADU D. Application of Fourier analysis to digital imaging for particle shape analysis[j]. Journal of Computing in Civil Engineering200418(1)29. [15] MACSLEYNE J PSIMMONS J PGRAEF M D. On the use of 2D moment invariants for the automated classification of particle shapes[j]. Acta Materialia200856(3) [16] WANG L BWANG X RMOHAMMAD Let al. Unified method to quantify aggregate shape angularity and texture using fourier analysis[j]. Journal of Materials in Civil Engineering200517(5) [17]. [J] (5) (ZHANG ZhiyongPAN ZhigengZHANG Mingminet al. Multiscale generic Fourier descriptor for gray image retrieval[j]. Journal of Image and Graphics200510(5) (in Chinese)) [18]. [J] ( 1) (AN Chenhao XU JinmingSUN Haoet al. Shape changes of various minerals on granite surface during uniaxial compression test[j]. Rock and Soil Mechanics200536(Supp.1) (in Chinese)) [19]. [J] (3) (MA ShaopengLIU ShanjunZHAO Yonghong. Gray correlantion of digital images from loaded rock specimen surface to evaluate its damage evolution[j]. Chinese Journal of Rock Mechanics and Engineering (3) (in Chinese))

01-0982.doc

01-0982.doc 第 32 卷第 7 期岩土工程学报 Vol.32 No.7 2010 年 7 月 Chinese Journal of Geotechnical Engineering July 2010 沿海碎石回填地基上高能级强夯系列试验对比研究年廷凯 1,2, 水伟厚 3, 李鸿江 4, 杨庆 1,2, 王玉立 (1. 大连理工