岩土力学 ›› 2026, Vol. 47 ›› Issue (8): 2773-2784.doi: 10.16285/j.rsm.2025.0889CSTR: 32223.14.j.rsm.2025.0889

• 基础理论与实验研究 • 上一篇    下一篇

考虑液相惯性的饱和土一维动力固结分析

刘忠玉1，石景润1，崔鹏陆2，张多1，张家超3，曹文贵4   

  1. 1. 郑州大学 土木工程学院，河南 郑州 450001；2. 郑州大学 水利与交通学院，河南 郑州 450001； 3. 河南工程学院 土木工程学院，河南 郑州 451191；4. 湖南大学 土木工程学院，湖南 长沙 410082
  • 收稿日期:2025-12-30 接受日期:2026-03-04 出版日期:2026-08-11 发布日期:2026-08-18
  • 通讯作者: 崔鹏陆，男，1993年生，博士，副研究员，硕士生导师，主要从事软土地基处理方面的研究。E-mail: cuipenglu@zzu.edu.cn
  • 作者简介:刘忠玉，男，1968年生，博士，教授，主要从事岩土力学等方面的研究。E-mail: zhyliu@zzu.edu.cn
  • 基金资助:
    国家自然科学基金（No.51578511）；河南省科技攻关项目（No. 262102320185）

One-dimensional dynamic consolidation analysis of saturated soil considering liquid-phase inertia

LIU Zhong-yu1, SHI Jing-run1, CUI Peng-lu2, ZHANG Duo1, ZHANG Jia-chao3, CAO Wen-gui4   

  1. 1. School of Civil Engineering, Zhengzhou University, Zhengzhou, Henan 450001, China; 2. School of Water Conservancy and Transportation, Zhengzhou University, Zhengzhou, Henan 450001, China; 3. College of Civil Engineering, Henan University of Engineering, Zhengzhou, Henan 451191, China; 4. College of Civil Engineering, Hunan University, Changsha, Hunan 410082, China
  • Received:2025-12-30 Accepted:2026-03-04 Online:2026-08-11 Published:2026-08-18
  • Supported by:
    This work was supported by the National Natural Science Foundation of China (51578511) and the Henan Province Science and Technology Research Project (262102320185).

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摘要： 忽略液相惯性可能是造成一维固结理论计算值与孔隙水压观测值出现偏差的重要原因之一。为探究这一偏差的成因，引入动力固结系数以反映液相惯性力的影响，将Biot动力固结方程退化为一维情况以应用于地基沉降分析，并采用有限体积法对其进行数值求解。通过与文献中有限差分法算例的对比，验证了本文数值解法的有效性。然后，探讨了孔隙率、动力固结系数及不同边界条件对固结过程的影响。数值结果表明：孔隙率和动力固结系数均显著影响孔隙水压的滞后现象，其中孔隙率越大，孔隙水压达到峰值的时间就越短，且存在一个临界孔隙率，此时，液相惯性力的影响可忽略不计；孔隙率在固结初期对以孔压定义的平均固结度有一定影响，但在中后期会逐渐减弱；动力固结系数越大，固结前期的孔压滞后效应就越明显。此外，当考虑动力效应时，双面排水条件下孔隙水压沿深度的分布会从初始的不对称形式逐渐趋于对称，且可能导致孔隙水压峰值超过上覆荷载值。

关键词: 饱和土, 动力固结, 有限体积法, 惯性力, 孔隙水压, 孔隙率

Abstract: Ignoring the liquid-phase inertia might be one of the important reasons for the deviation between the pore water pressure calculated based on one-dimensional consolidation theory and its observed value. To investigate the cause of this deviation, the dynamic consolidation coefficient was introduced to reflect the influence of the liquid-phase inertial force. The Biot dynamic consolidation equation was degraded to a one-dimensional case and applied to the foundation settlement analysis, and its numerical solution was obtained by using the finite volume method. The validity of the proposed numerical solution method was verified by comparing it with the examples solved by the finite difference method in the literature. Then the influences of porosity, dynamic consolidation coefficient and different boundary conditions on the consolidation process were investigated. The numerical results illustrated that both porosity and dynamic consolidation coefficient significantly affect the lag effect of pore water pressure. Among them, a larger porosity corresponds to a shorter duration required for pore water pressure to attain its peak value. Furthermore, there exists a critical porosity, at which the influence of the inertial force of the liquid phase becomes negligible. Porosity exerts a certain degree of influence on the average consolidation degree defined by pore water pressure in the early stage of consolidation, but it will gradually weaken in the middle and later stages. A larger dynamic consolidation coefficient results in a more pronounced lag effect of pore pressure in the early stage of consolidation will be. In addition, when considering the dynamic effect, the distribution of pore water pressure along depth under two-way drainage condition will gradually tend to be symmetrical from the initial asymmetry, and the peak value of pore water pressure exceeds the overburden load value.

Key words: saturated soil, dynamic consolidation, finite volume method, inertial force, pore water pressure, porosity

中图分类号: TU 411.3
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