饱和块状混合回填土地基的一维固结分析

胡亚元; 周焕慧

doi:10.11779/CJGE202204005

饱和块状混合回填土地基的一维固结分析 English Version

浙江大学滨海和城市岩土工程研究中心, 浙江杭州 310058

基金项目:

国家自然科学基金项目 52178360

详细信息

作者简介:
胡亚元(1968—)，男，博士，副教授，主要从事环境土工和岩石本构关系的研究工作。E-mail：huyayuan@zju.edu.cn

中图分类号: TU433
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出版历程
- 收稿日期: 2021-01-26
- 网络出版日期: 2022-09-22
- 刊出日期: 2022-03-31

One-dimensional consolidation analysis of saturated lumpy composite backfill foundation

Research Center of Coastal and Urban Geotechnical Engineering, Zhejiang University, Hangzhou 310058, China

摘要

摘要: 用块状渣土置换软弱地基和回填低洼谷地等是处置工程渣土的有效途径。为了分析饱和块状混合回填土地基的固结性状，运用混合物理论建立了其一维固结模型。首先，假定块状土固相和充填土固相之间满足等应变条件，获得了饱和块状混合回填土中各相应变与块状土孔隙变形和充填土孔隙变形的关系式。其次，在小应变条件下，根据自由能势函数方程建立了饱和块状混合回填土的一维线弹性本构方程，再结合达西定律和应力平衡方程获得了一维固结控制方程。再次，利用分离变量法得到一维固结解析解，通过退化本文模型与已有模型进行对比，验证了本文模型的正确性。最后，基于所得解析解，分析了充填土孔隙渗透系数、块状土孔隙渗透系数以及流体交换参数等因素对饱和块状混合回填土地基固结性状的影响。分析结果表明：充填土孔隙渗透系数对饱和块状混合回填土地基整体固结性状起主导作用；在固结初期，块状土超孔压会有一定程度的上升，且3个参数具有相似的作用机理。
- 工程渣土 /
- 饱和双重孔隙介质 /
- 混合物理论 /
- 一维固结 /
- 解析解
Abstract: It is an effective way to replace the soft foundation waste and backfill the low-lying valley with the lumpy waste. In order to explore the consolidation behaviors of saturated lumpy composite backfill foundation, one-dimensional (1-D) consolidation model is established by using the mixture theory. Firstly, based on the assumption of the equal solid strain condition between lumpy soil and filling soil, the formulations are obtained between each constituent strain and pore deformations in lumpy soil and filling soil. Then, under small strain, the 1-D linear elastic constitutive equations for the saturated lumpy composite backfill soil are derived by applying the free energy potential constitutive equations, and the governing equation for 1-D consolidation is provided based on the Darcy's law and the stress equilibrium equation. Meanwhile, its analytical solution is gained by using the separation variable method, and the contrast between the degenerating model and other existing ones shows the validity of the proposed model. Finally, the influences of two pore permeability coefficients and fluid exchange parameter on the characteristics of 1-D consolidation for the saturated lumpy composite backfill foundation are studied by adopting the analytical solution. The analysis results indicate that the permeability coefficient in filling soil plays a leading role in the consolidation behaviors, and the pore pressure in the lumpy soil increases to a certain extent at the initial stage of consolidation and three parameters have the similar mechanism.
- construction waste /
- saturated double-porosity medium /
- mixture theory /
- 1-D consolidation /
- analytical solution

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图 1 饱和块状混合回填土特征单元体示意图

Figure 1. Schematic diagram for representative volume element of saturated lumpy composite backfill soil

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图 2 饱和块状混合回填土层示意图

Figure 2. Sketch of saturated lumpy composite backfill soil layer

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图 3 本文计算结果与Khalili等计算结果对比图

Figure 3. Comparison of calculated results by authors and Khalili et al

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图 4 充填土、块状土、块状混合回填土压缩曲线图

Figure 4. Compression curves of filling soil, lumpy soil and lumpy backfill soil

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不同 ${k_{{\text{FP}}}}$ 下的超孔压图和固结度图

Figure 5. Diagram of excess pore pressure and consolidation degree for varying permeability in filling soil

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不同 ${k_{{\text{LP}}}}$ 下超孔压图和固结度图

Figure 6. Diagram of excess pore pressure and consolidation degree for varying permeability in lumpy soil

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不同 $\chi$ 下的超孔压图和固结度图

Figure 7. Diagram of excess pore pressure and consolidation degree for varying fluid exchange parameter

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表 1 Khalili等的模型参数Fig 1 Model parameters of Khalili et al

h/m	${\sigma _0}/{\text{kPa}}$	E_S/kPa	E_D/kPa	${\varphi _{{\text{FP0}}}}$
10	100	${\text{1}}{\text{.0}} \times {10^4}$	${\text{1}}{\text{.111}} \times {10^4}$	0.06

k_LP/(m·s^-1)		k_FP//(m·s^-1)	$\chi /({\text{kP}}{{\text{a}}^{ - 1}} \cdot {{\text{s}}^{ - 1}})$	${\varphi _{{\text{LP0}}}}$
${\text{1}}{\text{.0}} \times {10^{ - 4}}$		${\text{1}}{\text{.0}} \times {10^{ - 1}}$	$1.001 \times {10^{ - 4}}$	0.54

${\varphi _{{\text{FS0}}}}{E_{{\text{FS}}}}/{\text{kPa}}$		E_C/kPa
100		${\text{1}}{\text{.0}} \times {10^{ - 8}}$

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表 2 饱和块状混合回填土地基模型的模型参数

Table 2 Model parameters of samples of saturated lumpy composite backfill foundation

${\sigma _0}/{\text{kPa}}$	E_S/kPa	E_H/kPa	E_D /kPa
100	1577.2	1627	1607.6

E_C/kPa	${\varphi _{{\text{LS0}}}}$	${\varphi _{{\text{FS0}}}}$	k_LP/(m·s^-1)
1141.8	0.226	0.154	${\text{5}}{\text{.03}} \times {10^{ - 11}}$

k_FP/(m·s^-1)	${\varphi _{{\text{LP0}}}}$	${\varphi _{{\text{FP0}}}}$	$\chi /({\text{kP}}{{\text{a}}^{ - 1}} \cdot {{\text{s}}^{ - 1}})$
${\text{1}}{\text{.22}} \times {10^{ - 9}}$	0.271	0.349	$1.0 \times {10^{ - 9}}$

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