Advanced Search
  • 全国中文核心期刊
  • 中国科技核心期刊
  • 美国工程索引（EI）收录期刊
  • Scopus数据库收录期刊
Volume 34 Issue 2
Turn off MathJax
Article Contents
Abstract
References
LUO Ping-ping, WANG Lan-fu, FAN Bo, ZHANG Fang. Numerical simulation of infiltration laws of grouts in random aperture based on multi-fractional Brownian motion[J]. Chinese Journal of Geotechnical Engineering, 2012, 34(2): 309-316.
Citation: LUO Ping-ping, WANG Lan-fu, FAN Bo, ZHANG Fang. Numerical simulation of infiltration laws of grouts in random aperture based on multi-fractional Brownian motion[J]. Chinese Journal of Geotechnical Engineering, 2012, 34(2): 309-316.
shu

Numerical simulation of infiltration laws of grouts in random aperture based on multi-fractional Brownian motion

  • 1. College of Civil Engineering, Henan Polytechnical University , Jiaozuo 454003, China; 2. Yima Coal Industry Group Co., Ltd. , Yima 472300, China

More Information
  • Received Date: January 09, 2011
  • Published Date: February 19, 2012
    Graphical Abstract
    • Abstract
  • In order to study the influence of aperture distribution on the infiltration in a single fracture, based on the fractal theory of multi-fractional Brownian motion(MBM), four groups of fracture surfaces at different regularization dimensions are constructed, all of which more realistically reflect the asymptotic self-similarity of aperture distribution of natural fracture surface. From the numerical simulation of grouting in a single random aperture fracture, it is indicated that pressure contours show twists and turns spreading over time, which reflects the distinct non-uniform characteristics. The distribution of closed area has a tendency that is from dot-like scatter to focused plane with the regularization dimensions tending to reduce, and its spatial location has obvious influence on the pressure and grouting time. As the development of percolation, there appears a tendency that the node pressure is from monotonically rapid increase to stepwise stability, and the more the node approaching the percolation border, the shorter the grouting time used in the case of reaching the steady pressure. Moreover, there is a power relationship between the node pressure and the grouting time. In view of this rule, empirical equations with different parameters are also obtained by fitting curves.
    • FullText(HTML)
    • References (27)
  • [1]
    罗平平 , 朱岳明 , 黄金桂 , 等 . 二维随机裂隙岩体灌浆数值模拟 [J]. 河海大学学报 ( 自然科学版 ), 2006, 34 (3): 295 – 298. (LUO Ping-ping, ZHU Yue-ming, HUANG Jin-gui, et al. Two-dimensional numerical simulation of grouting inrandom fractured rock mass[J]. Journal of Hohai University (Natural Sciences), 2006, 34 (3): 295 – 298. (in Chinese))
    [2]
    罗平平 , 陈 蕾 , 邹正盛 . 空间岩体裂隙网络灌浆数值模拟研究 [J]. 岩土工程学报 , 2007, 29 (12): 1844 – 1848. (LUO Ping-ping, CHEN Lei, ZOU Zheng-sheng. Numerical simulation of grouting in space fracture network of rock mass [J]. Chinese Journal of Geotechnical Engineering , 2007, 29 (12): 1844 – 1848. (in Chinese))
    [3]
    张忠苗 , 邹 健 . 桩底劈裂注浆扩散半径和注浆压力研究 [J]. 岩土工程学报 , 2008, 30 (2): 181 – 184. (ZHANG Zhong-miao, ZOU Jian. Penetration radius and grouting pressure in fracture grouting[J]. Chinese Journal of Geotechnical Engineering , 2008, 30 (2): 181 – 184. (in Chinese))
    [4]
    GREENWOOD J A, WILLIAMSON J B P. Contact of nominally flat surfaces[C]// Proc R Soc London Ser. A, 1966: 300 – 319.
    [5]
    MAJUMDAR A, BHUSHAN B. Role of fractal geometry in roughness characterization and contact mechanics of surfaces[J]. ASME J Tribol, 1990, 112 : 205 – 216.
    [6]
    MAJUMDAR A, BHUSHAN B. Fractal model elastic-plastic contact between rough surfaces[J]. ASME J Tribol, 1991, 113 : 1 – 11.
    [7]
    MOURZENKO V V, THOVERT J F, ADLER P M. Percolation and conductivity of self-affine fractures[J]. Phys Rev E, 1999, 54 : 4265 – 4284.
    [8]
    TAO Q, LEE H P, LIM S P. Contact mechanics of surfaces with various models of roughness descriptions[J]. Wear, 2001, 249 : 539 – 545.
    [9]
    PATRIKAR R M. Modeling and simulation of surface roughness[J]. Appl Surf Sci, 2004, 228 : 213 – 220.
    [10]
    CAI Z J, CHEN D Q, LU S. Reconstruction of a fractal rough surface[J]. Physica D, 2006, 213 : 25 – 30.
    [11]
    ZOU Ming-qing, YU Bo-ming, FENG Yong-jin, et al. A monte carlo method for simulating fractal surfaces[J]. Physica A, 2007, 386 : 176 – 186.
    [12]
    WAGNER G, MEAKIN P, FEDER J, et al. Invasion percolation in fractal fractures[J]. Physica A, 1999, 264 : 321 – 337.
    [13]
    RICHARD G Hughes, MARTIN J Blunt. Network modeling of multiphase flow in fractures[J]. Advances in Water Resources, 2001, 24 : 409 – 421.
    [14]
    LIU L, NERETNIEKS I. Analysis of fluid flow and solute transport in a fracture intersecting a canister with variable aperture fractures andarbitrary intersection angles[J]. Nuclear Technology, 2005, 150 : 132 – 144.
    [15]
    ZHENG Q, DICKSON S E, GUO Y. Differential transport and dispersion of colloids relative to solutes in single fractures[J]. Journal of Colloid and Interface Science, 2009, 339 : 140 – 151.
    [16]
    柴军瑞 , 仵彦卿 . 变隙宽裂隙的渗流分析 [J]. 勘查科学技术 , 2000(3): 39 – 41. (CAI Jun-rui, WU Yan-qing. Analysis of seepage through fracture network with variable apertures[J]. Site Investigation Science and Technology, 2000(3): 39 – 41. (in Chinese))
    [17]
    王锦国 , 周志芳 . 基于分形理论的裂隙岩体地下水溶质运移模拟 [J]. 岩石力学与工程学报 , 2004, 23 (8): 1358 – 1362. (WANG Jin-guo, ZHOU Zhi-fang. Simulation on solute transport in fractured rocks based on fractal theory[J]. Chinese Journal of Rock Mechanics and Engineering, 2004, 23 (8): 1358 – 1362. (in Chinese))
    [18]
    FALCONER K. Fractal geometry: mathematical foundations and applications[M]. Wiley: Chichester, 2003.
    [19]
    SEURET S, VÉHEL J L. The local Hölder function of a continuous function[J]. Applied and Computational Harmonic Analysis, 2002, 13 : 263 – 276.
    [20]
    KOLMOGOROV A N. Wienersche spiralen und einige andere interessante kurven im hilbertschen raume[J]. Doklady, 1940, 26 : 115 – 118.
    [21]
    MANDELBROT B, VAN-NESS J W. Fractional brownian motion, fractional noises and applications[J]. Siam Review, 1968: 422 – 437.
    [22]
    PELTIER R F, VÉHEL J L. Multifractional brownian motion: definition and preliminary results[R]. Raris: z’INRIA, 1995.
    [23]
    ROUEFF F, VÉHEL J L. A regularization approach to fractional dimension estimation[C]// Proceedings of Fractals 98. Malta, 1998.
    [24]
    罗平平 . 裂隙岩体可灌性及注浆数值模拟研究 [D]. 南京 : 河海大学 , 2006. (LUO Ping-ping. Study on groutability and numerical simulation of grouting in fractured rock mass[D]. Nanjin g: Hohai Universit y, 2006. (in Chinese))
    [25]
    MITCHELL J K. In-place treatment of foundation soils[J]. Journal of the Soil Mechanics and Foundations Division, ASCE, 1970, 1: 73 – 109.
    [26]
    郝 哲 , 王来贵 , 刘 斌 . 岩体注浆理论与应用 [M]. 北京 : 地质出版社 , 2006. (HAO Zhe, WANG Lai-gui, LIU Bin. Theory and application of rock mass grouting[M]. Beijing: Geology Press, 2006. (in Chinese))
    [27]
    SHI Cai-jun, DAY Robert L. Acceleration of the reactivity of fly ash by chemical activation[J]. Cement and Concrete Research, 1995, 25 : 15 – 21.
    • Related Articles
  • Supplements (0)

Catalog

    Get Citation
    PDF
    XML
    Article views (1334) PDF downloads (603) Cited by()
    Related
    Copyright © 2010 Editorial By Chinese Journal of Geotechnical Engineering 苏ICP备05007122号-11公安联网备案号：32010602011255
    Editorial Office address：34 Hujuguan,Nanjing 210024,ChinaPostal Code：210024Tel：025-85829534，85829556E-mail: ge@nhri.cn

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return