摘要
为了研究单裂隙面隙宽分布对浆液渗透的影响,基于多重分数布朗运动(MBM)分形理论构建出4种不同规则维数下的随机隙宽单裂隙几何模型,从而较真实的反应了天然裂隙面隙宽分布的局部渐进自相似性。通过注浆数值模拟研究发现,压力等值线随时间延续呈现曲折扩散形式,反映了其非均匀渗透特征。裂隙面闭合区分布形态随规则维数降低由点状散布趋向面状集中,其空间位置对浆液后期渗透压力和全程注浆时间影响很大;并且随着浆液入渗发展,节点压力由前期的较快单调增长到后期逐步趋于稳定,越靠近入渗边界的节点达到稳定压力所用时间越短。节点压力与注浆时间成幂函数关系,通过曲线拟合给出了不同参数下的经验方程。
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.
出处
《岩土工程学报》
EI
CAS
CSCD
北大核心
2012年第2期309-316,共8页
Chinese Journal of Geotechnical Engineering
基金
河南省教育厅自然科学基金项目(2008A440003)
河南理工大学博士基金项目(648184)
关键词
多重分数布朗运动
随机隙宽
注浆
渗透
单裂隙
multi-fractional Brownian motion
random aperture
grouting
seepage
single fracture
