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基于MBM随机隙宽单裂隙浆液渗透规律的模拟研究

罗平平 王兰甫 范波 张芳

岩土工程学报2012,Vol.34Issue(2):309-316,8.
岩土工程学报2012,Vol.34Issue(2):309-316,8.

基于MBM随机隙宽单裂隙浆液渗透规律的模拟研究

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

罗平平 1王兰甫 2范波 2张芳3

作者信息

  • 1. 河南理工大学土木工程学院,河南焦作454003/义马煤业集团股份有限公司,河南义马472300
  • 2. 义马煤业集团股份有限公司,河南义马472300
  • 3. 河南理工大学土木工程学院,河南焦作454003
  • 折叠

摘要

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.

关键词

多重分数布朗运动/随机隙宽/注浆/渗透/单裂隙

Key words

multi-fractional Brownian motion/random aperture/grouting/seepage/single fracture

分类

天文与地球科学

引用本文复制引用

罗平平,王兰甫,范波,张芳..基于MBM随机隙宽单裂隙浆液渗透规律的模拟研究[J].岩土工程学报,2012,34(2):309-316,8.

基金项目

河南省教育厅自然科学基金项目(2008A440003) (2008A440003)

河南理工大学博士基金项目(648184) (648184)

岩土工程学报

OA北大核心CSCDCSTPCD

1000-4548

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