一种考虑液相惯性的一维准静力固结模型

丁洲祥

doi:10.6052/0459-1879-18-053

一种考虑液相惯性的一维准静力固结模型

doi: 10.6052/0459-1879-18-053

丁洲祥^*, ,

北京交通大学土木建筑工程学院,北京 100044

基金项目: 国家自然科学基金资助项目(51278028, 41172221, 50708077).

详细信息

作者简介:
^*丁洲祥,副教授,主要研究方向：固结理论与工程应用. E-mail：dingzhouxiang@163.com

通讯作者:
丁洲祥

中图分类号: TU431;
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出版历程
- 收稿日期: 2018-03-05
- 刊出日期: 2018-07-18

ONE-DIMENSIONAL QUASI-STATIC CONSOLIDATION MODEL CONSIDERING INERTIA OF FLUID PHASE

Ding Zhouxiang^{*
, ,}

School of Civil Engineering, Beijing Jiaotong University, Beijing 100044,China

摘要

摘要: 经典Terzaghi一维固结理论不考虑孔隙流体惯性影响,且该理论在不同时期模型推导和表述结果差别较大,导致当前仍存在诸多困惑甚至认识混乱的现象. 在笔者前期研究大变形动力固结理论框架内,忽略固相惯性而重点考虑液相惯性影响,经过合理简化建立反映孔隙流体惯性的一维小变形固结波动模型. 该固结波模型具有频散和耗散特性. 采用分离变量法,可得到单面排水和瞬时加载条件下无量纲形式固结波解析解答. 算例分析结果表明：固结波发展规律受无量纲数 $D c$ 变化影响而呈现不同性态; $D c$ 数值较大时固结波响应会出现阶跃和正负波动现象;当 $D c$ 值较小时,可能出现Mandel-Cryer效应等特殊现象. 通过对早期和后期Terzaghi固结模型的分析和对比,初步探明Terzaghi固结理论模型内部的矛盾性,在普通土体坐标和固相体积坐标两种不同解读条件下,早期Terzaghi (1923,1925)模型可以分别诠释为具有小变形和大变形属性的不同固结模型. 在经典一维固结理论模型的不同诠释背景下,固结波模型也可以据此作出相应拓展和表述. 固结波理论揭示缩尺固结试验中土体物理力学参数与固结波响应两种因素之间存在一种不确定性矛盾,据此建议微观土力学研究重视尺度效应. 固结波模型的意义还在于,可为Terzaghi经典固结模型理论精度分析提供新的依据.
- 固结波 /
- 孔隙流体惯性 /
- 固结 /
- Terzaghi一维固结理论 /
- Mandel-Cryer效应 /
- 阶跃现象
Abstract: Terzaghi’s one-dimensional classic consolidation theory ignores inertia of pore water in saturated soils, and has outstanding differences in its derivation and formulation during various publication periods. This leads to a strange phenomenon that considerable misunderstandings and confusion of it still prevail in the current literature. Within the previous framework of large strain dynamic consolidation theory, a one-dimensional infinitesimal strain consolidation wave model is obtained to consider the effect of inertia of pore water with necessary simplification and hypotheses. The present consolidation wave model is characterized by velocity dispersion and dissipative attenuation. The method of separation of variables is used to obtain an analytical solution for a consolidation wave model under the condition of one-way drainage and instantaneous loading. A numerical case study shows that behaviors of consolidation wave are actually controlled by the value of a dimensionless number $D c$ . For cases of higher values of $D c$ , jump and fluctuation of dimensionless excess pore water pressure between positive and negative values are prone to occur, in contrast with the cases of lower values of $D c$ that result into special phenomena including the Mandel-Cryer effect observed in laboratory tests. The inherent ambiguities about Terzaghi’s classic theory models proposed in the early stage and the later stage respectively are investigated to draw a conclusion that the early Terzaghi’s (1923,1925) consolidation model can be interpreted as a large strain model with respect to the general soil coordinates contrasted with an infinitesimal strain model with respect to the solid-phase volume coordinates. Accordingly, the present consolidation wave model can be extended to various formulations based on the corresponding coordinate properties. Consolidation wave theory is of significance to probe into an innovative uncertainty principle which shows that for scale model testing, the observed consolidation wave response of undisturbed soil samples cannot equal the response of the same soil in practical conditions. Therefore, it is advisable to pay attention to the size effect of soil samples in consolidation study from the perspective of microscopic soil mechanics. The theoretical precision of evaluated excess pore water pressure by classic Terzaghi’s consolidation model varies with the value of dimensionless quantity $D c$ , which is a vital parameter in the proposed consolidation wave theory.
- consolidation wave /
- inertia of pore water /
- consolidation /
- Terzaghi’s one-dimensional consolidation theory /
- Mandel-Cryer effect

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参考文献(1)

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