基于FVM和VOF的平面裂隙注浆数值模型  

Numerical model of planar fracture grouting based on FVM and VOF

作　　者：李晓龙[1,2] 罗晓倩[1,2] 钟燕辉 张蓓[1,2] LI Xiaolong;LUO Xiaoqian;ZHONG Yanhui;ZHANG Bei(School of Water Conservancy and Environment, Zhengzhou University, Zhengzhou 450001;Infrastructure Engineering Safety Protection Theory and Technology Innovation Team of Ministry of Education, Zhengzhou 450001)

机构地区：[1]郑州大学水利与环境学院,郑州450001 [2]教育部基础工程设施安全防护理论与技术创新团队,郑州450001

出　　处：《水力发电学报》2018年第5期142-150,共9页Journal of Hydroelectric Engineering

基　　金：国家重点研发计划(2016YFC0802207);NSFC-河南人才培养联合基金(U1404525);国家自然科学基金(51378473)

摘　　要：为研究浆液在岩体裂隙中的运移机制,建立了基于有限体积法(FVM)和流体体积(VOF)原理的平板裂隙注浆数值模型。模型采用同位网格有限体法离散流动控制方程,为避免对振荡压强场求解失真问题,借助动量插值方法构造控制体界面流速,并考虑浆液扩散过程的两相流特征,利用VOF方法追踪两相移动界面,实现了同位网格架构下浆液流场的数值求解。选择无限大平板裂隙注浆算例对该模型进行了测试,结果表明,不同时刻浆液压强分布、流速、扩散范围等模拟结果与解析解吻合良好,显示了较高的求解精度,为研发裂隙注浆仿真系统奠定了基础。To investigate the mechanism of grout spreading in jointed rocks, a numerical model for simulating planar fracture grouting is developed based on the finite volume method（FVM）, the volume of fluid（VOF） method, and collocated grids. This model adopts a momentum interpolation method in its calculation of the flow rate at the control volume faces to avoid the distorted solution of oscillating pressure fields, and considers the two-phase flow characteristic of grout spreading, tracking the moving interface of two phases by VOF calculations. It is tested through application to the grouting in an infinite planar fracture and the results show that its calculations of grouting pressure field distribution, flow velocity and diffusion radius agree well with the analytical solution, thereby verifying a high accuracy in the calculations and laying a basis for developing a dedicated system for fracture grouting simulation.

关 键 词：裂隙注浆 流场分析 FVM 动量插值 同位网格 VOF 

分 类 号：TU17[建筑科学—建筑理论]