岩土力学 ›› 2021, Vol. 42 ›› Issue (3): 855-862.doi: 10.16285/j.rsm.2020.0956

• 岩土工程研究 • 上一篇    下一篇

基于抽样可靠性的土体迂曲度计算

戴邵衡,童晨曦,颜瀚,滕继东,张升   

  1. 中南大学 土木工程学院,湖南 长沙 410075
  • 收稿日期:2020-07-06 修回日期:2020-12-25 出版日期:2021-03-11 发布日期:2021-03-17
  • 通讯作者: 张升,男,1979年生,博士,教授,博士生导师,主要从事计算土力学等方面的教学和科研工作。E-mail: zhang-sheng@csu.edu.cn E-mail:daishaoheng@csu.edu.cn
  • 作者简介:戴邵衡,男,1996年生,硕士研究生,主要从事土体渗流、铁路路基翻浆冒泥等方面的研究
  • 基金资助:
    国家自然科学基金优秀青年科学基金项目(No.51722812);湖湘高层次人才聚集工程(No.2018RS3016);湖南省研究生科研创新项目(No.CX20200220);中南大学研究生自主探索创新项目(No.2020zzts613,No.2020zzts629)。

Calculation of soil tortuosity based on sampling reliability

DAI Shao-heng, TONG Chen-xi, YAN Han, TENG Ji-dong, ZHANG Sheng   

  1. Department of Geotechnical Engineering, Central South University, Changsha, Hunan 410075, China
  • Received:2020-07-06 Revised:2020-12-25 Online:2021-03-11 Published:2021-03-17
  • Supported by:
    This work was supported by the Natural Science Foundation of China(51722812), the High-Level Talents Gathering Project in Hunan Province(2018RS3016), the Postgraduate Scientific Research Innovation Project of Hunan Province(CX20200220) and the Autonomous Exploration Project of Central South University (2020zzts613, 2020zzts629).

摘要: 迂曲度是研究土体渗水透气特性的重要参数,反映了流体流经多孔介质过程中的迂回曲折程度。现有研究表明迂曲度不仅与孔隙率有关,还与颗粒排列密切相关。在新提出的土体几何迂曲度模型基础上,考虑孔隙率、颗粒排列对等效流经长度的耦合影响,推导了单元体迂曲度计算模型,对比前人的试验结果,进一步探讨了颗粒排列、孔隙率对迂曲度的影响。基于抽样可靠性理论,确定了在一定置信度与误差限度要求下,计算土体整体迂曲度所需要的最小单元体样本量,并验证了其可靠性。对比土体迂曲度理论解和基于COMSOL Multiphysics得到的数值模拟解,验证了方法的合理性。该研究成果可为土体迂曲度的计算提供一种新的求解思路。

关键词: 迂曲度, 颗粒排列, 抽样可靠性, 最小样本量

Abstract: Tortuosity is an important parameter to study the permeability of soil, which reflects the degree of twists and turns of fluid flowing through porous media. Existing studies have shown that the tortuosity is not only related to porosity, but also closely related to particle arrangement of soil. Based on the new geometric tortuosity model of soil, a modified calculation model of tortuosity of soil unite is then proposed with emphasis on the coupling effect of porosity and particle arrangement on the equivalent flow length. The results showed that the proposed model agreed well with the experimental results in the literature, and the effects of particle arrangement and porosity on the tortuosity were further discussed. Furthermore, the minimum sample size needed for calculating the overall tortuosity of soil was determined under certain confidence and error limits based on the sampling reliability theory and this method has been proven to be reasonable and effective for representing the whole soil sample. Finally, the theoretical solution of soil tortuosity based on the proposed method was compared with the numerical simulation solution of soil tortuosity based on COMSOL Multiphysics, and the satisfactory agreement proved the reasonability and validity of the proposed method. The study provides an alternative approach for the calculation of soil tortuosity.

Key words: tortuosity, particle arrangement, sampling reliability, minimum sample size

中图分类号: 

  • TU411
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