基于分形理论的裂隙岩体渗透注浆机理研究  

Research on the mechanism of seepage grouting in fractal rock mass based on fractal theory

作　　者：秦鹏飞 朱翔 周想云 QIN Pengfei;ZHU Xiang;ZHOU Xiangyun(Department of Engineering,Huanghe University of Science and Technology,Zhengzhou 451000,China;Key Laboratory of Hydraulic and Waterway Engineering of the Ministry of Education,Chongqing Jiaotong University,Chongqing 400074,China)

机构地区：[1]黄河科技学院工学部,河南郑州451000 [2]重庆交通大学水利水运工程教育部重点实验室,重庆400074

出　　处：《煤炭学报》2024年第S2期845-851,共7页Journal of China Coal Society

基　　金：河南省高等学校重点科研资助项目(24A560011);重庆交通大学水利水运工程教育部重点实验室开放基金资助项目(SLK2023B07);黄河科技学院博士科研启动基金资助项目(02032695)。

摘　　要：风化裂隙、构造裂隙与成岩裂隙对工程岩体物理力学特性具有重要影响,系统开展岩体裂隙多尺度发育规律研究,精准构建非均质裂隙岩体计算模型,是深刻揭示岩体承载、变形、渗透及注浆加固等性能的重要方法。考虑岩体裂隙的随机性和不规则性特征,基于分形理论研究构建了裂隙网络的分形模型,利用平行板假定和裂隙立方定律,推导了岩体注浆量和导水率的分形解析表达式。在此基础上,分析了裂隙岩体耗灰量与分形维数、裂隙长度的关系,发现裂隙岩体的耗灰量随分形维数Df和裂隙长度tmax的增加而增加,而裂隙长度tmax对耗灰量的影响较分维数Df更加显著。探讨了裂隙岩体耗灰量随导水率的变化规律,并选取重庆地铁进行了工程实测验证。结果显示现场实测数据与理论推测基本一致,表明所推导的耗灰量与导水率关系是科学准确的,可用于注浆设计参考。Weathering cracks,structural cracks,and diagenetic cracks have a significant impact on the physical and mechanical properties of engineering rock masses.Conducting systematic research on the multi-scale development laws of rock mass cracks and accurately constructing heterogeneous fractured rock mass calculation models is an important method to deeply reveal the bearing capacity,deformation,permeability,and grouting reinforcement performance of rock masses.Considers the randomness and irregularity characteristics of rock fractures,and based on fractal theory,constructs a fractal model of the fracture network.Using the assumption of parallel plates and the cubic law of fractures,the fractal analytical expressions for the grouting amount and hydraulic conductivity of rock masses are derived.On this basis,the relationship between the ash consumption of fractured rock mass and fractal dimension and crack length was analyzed.It was found that the ash consumption of fractured rock mass increased with the increase of fractal dimension Df and crack length tmax,and the influence of crack length tmax on ash consumption was more significant than that of fractal dimension Df.Then,the variation law of ash consumption of fractured rock mass with hydraulic conductivity was explored,and the Chongqing Metro was selected for engineering measurement verification.The results show that the on-site measured data is basically consistent with theoretical speculation,indicating that the derived relationship between ash consumption and hydraulic conductivity is scientifically accurate and can be used as a reference for grouting design.

关 键 词：裂隙网络 分形理论 渗透注浆 扩散机制 导水率 耗灰量 

分 类 号：U231[交通运输工程—道路与铁道工程]