Youngs方法在自膨胀浆液移动界面追踪中的应用

doi:10.16285/j.rsm.2017.12.013

›› 2017, Vol. 38 ›› Issue (12): 3491-3497.doi: 10.16285/j.rsm.2017.12.013

Youngs方法在自膨胀浆液移动界面追踪中的应用

李晓龙^{1, 2}，张甜甜^{1, 2}，王复明^{1, 2}，钟燕辉^{1, 2}，张蓓^{1, 2}

1. 郑州大学水利与环境学院，河南郑州 450001；2. 郑州大学教育部基础工程设施安全防护理论与技术创新团队，河南郑州 450001

收稿日期:2016-12-13 出版日期:2017-12-11 发布日期:2018-06-05
通讯作者: 张蓓，女，1968年生，博士，教授，主要从事交通、岩土基础设施安全防护理论与技术方面的研究工作。E-mail: beizhang@126.com E-mail:lxl1977@zzu.edu.cn
作者简介:李晓龙，男，1977年生，博士，副教授，主要从事基础工程设施安全防护高聚物注浆理论与应用方面的研究工作。
基金资助:
国家重点研发计划（No.2016YFC0802207）；NSFC-河南人才培养联合基金（No.U1404525）；国家自然科学基金（No.51378473）；河南省高等学校重点科研项目（No.18A580001）。

Application of Youngs method in tracking the moving interface of expansible grout

LI Xiao-long^{1, 2}, ZHANG Tian-tian^{1, 2}, WANG Fu-ming^{1, 2}, ZHONG Yan-hui^{1, 2}, ZHANG Bei^{1, 2}

1. School of Water Conservancy and Environment, Zhengzhou University, Zhengzhou, Henan 450001, China; 2. Infrastructure Engineering Safety Protection Theory and Technology Innovation Team of Ministry of Education, Zhengzhou University, Zhengzhou, Henan 450001, China

Received:2016-12-13 Online:2017-12-11 Published:2018-06-05
Supported by:
This work was supported by the National Key Research and Development Program of China (2016YFC0802207), the NSFC-Henan Joint Fund for Talent Development (U1404525), the National Natural Science Foundation of China (51378473) and the Key Research Projects of Higher Education in Henan Province (18A580001).

摘要/Abstract

摘要： 数值模拟是研究浆液在岩体裂隙中扩散规律的重要途径之一。对浆液运动界面进行准确地追踪，是建立浆液流动扩散仿真分析方法需要解决的一个关键问题。以自膨胀浆液在平板裂隙中流动扩散过程为对象，考虑浆液扩散过程中两相流特征，引入VOF函数描述两相介质分布，采用基于几何学原理的Youngs方法求解VOF方程，以实现对浆液移动界面的追踪。利用已知密度随时间变化规律的自膨胀浆液在平板裂隙中自由扩散算例对该方法进行测试，结果表明，不同时刻求解得到的浆液移动界面位置和轮廓与解析解吻合较好，显示了较高的计算精度和良好的界面追踪效果，为开发自膨胀浆液流动扩散仿真程序奠定了基础。

关键词: 自膨胀浆液, VOF, Youngs方法, 移动界面追踪, 数值模拟

Abstract: Numerical simulation is the most efficient way to investigate the mechanism of grout diffusion in jointed rocks, but one of the most critical challenges is to accurately track the grout flow in numerical simulation. This study was focused on the diffusion process of self-expanding grout in the flat fracture surface and considering characteristics of two-phase flow in the grout diffusing. Moreover, the VOF function was employed to describe the distribution of two-phase medium, and then was solved by Youngs method based on the principle of geometry. Thus, the tracking of grout moving interface was realised. Finally, the proposed method was examined by an example of the self-expanding grout with a known density freely diffusing with time in a plat fracture surface. The results showed that the analytical solutions were in good agreements with obtained locations and contours of the grout moving interface at different times in the example. Hence, the results verified that the proposed method had a high calculation precision and exhibited a sound effect of interface tracking. This study lays a solid foundation for developing the numerical method for simulating the diffusion processes of self-expanding grout flow.

Key words: expansible grout, VOF, Youngs method, moving interface tracking, numerical simulation

中图分类号:

TU 472.5

李晓龙，张甜甜，王复明，钟燕辉，张蓓, . Youngs方法在自膨胀浆液移动界面追踪中的应用[J]. , 2017, 38(12): 3491-3497.

LI Xiao-long, ZHANG Tian-tian, WANG Fu-ming, ZHONG Yan-hui, ZHANG Bei, . Application of Youngs method in tracking the moving interface of expansible grout[J]. , 2017, 38(12): 3491-3497.

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Youngs方法在自膨胀浆液移动界面追踪中的应用

Application of Youngs method in tracking the moving interface of expansible grout

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