基于考虑变形效应的土-水特征曲线求解非饱和地基动力响应

胡静; 金林廉; 吕志豪; 张家康; 边学成

doi:10.11779/CJGE20230800

基于考虑变形效应的土-水特征曲线求解非饱和地基动力响应 English Version

1.
福州大学土木工程学院, 福建福州 350108
2.
浙江大学建筑工程学院, 浙江杭州 310058

基金项目:

国家自然科学基金项目 52108308

国家重点研发计划青年科学家项目 2024YFC2911000

详细信息

作者简介:
胡静(1991—)，博士，副研究员，从事交通荷载作用下软土地基动力响应方面的研究工作。E-mail：jingh@fzu.edu.cn

中图分类号: TU435
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出版历程
- 收稿日期: 2023-08-17
- 网络出版日期: 2024-06-04
- 刊出日期: 2025-01-31

Dynamic response solutions of unsaturated soil foundation using soil-water characteristic curve considering deformation effects

1.
College of Civil Engineering, Fuzhou University, Fuzhou 350108, China
2.
College of Civil Engineering and Architecture, Zhejiang University, Hangzhou 310508, China

摘要

摘要: 为研究移动荷载作用下的非饱和地基动力响应，在传统V-G土-水特征曲线模型的基础上，建立了考虑变形效应的土-水特征曲线模型，并基于该模型推导了新的非饱和土动力控制方程，从而完整描述非饱和土在受动力作用下的水-力耦合作用。进一步的，采用2.5维有限元法对控制方程进行求解，求解结果分别与单相弹性介质，双相饱和介质和三相非饱和介质的解析解进行对比，均验证了该求解方法的准确性；不同介质模型的计算耗时分析表明2.5维有限元法是目前求解多孔介质动力问题的一种优势算法。通过数值分析发现，采用传统的、未考虑变形效应的土-水特征曲线会低估非饱和地基的振动强度。
- 非饱和土 /
- 2.5维有限元法 /
- 动力响应 /
- 土-水特征曲线 /
- 水-力耦合
Abstract: To investigate the dynamic response of unsaturated soils under moving loads, a new soil-water characteristic curve (SWCC) model is established considering the deformation caused by applied load based on the traditional V-G SWCC model. Using this modified SWCC model, a dynamic governing equation for unsaturated soils, which fully describes the water-force coupling effects of unsaturated soils under dynamic loading, is derived. The governing equation is solved using the 2.5-dimensional finite element method (2.5D FEM). The obtained solutions are compared with the analytical ones for single-phase medium, double-phase saturated medium and three-phase unsaturated medium, respectively, which all confirm the accuracy of the proposed solution method. The computational time analysis for different medium models demonstrate that the 2.5D FEM is an advantageous algorithm for solving the dynamic problems of porous media. The numerical analysis reveals that using the traditional SWCC without considering the deformation will underestimate the vibration intensity of unsaturated foundations.
- unsaturated soil /
- 2.5-dimensional finite element method /
- dynamic response /
- soil-water characteristic curve /
- water-force coupling effect

HTML全文

图 1 饱和度与孔隙比的关系图

Figure 1. Relationship between saturation and void ratio

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图 2 不同孔隙比下的土-水特征曲线示意图

Figure 2. Schematic diagram of soil-water characteristic curve under different void ratios

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图 3 模型网格分布示意图

Figure 3. Diagram of mesh distribution

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图 4 单相弹性地基验证

Figure 4. Verification of single-phase elastic medium

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图 5 饱和地基验证

Figure 5. Verification of two-phase saturated medium

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图 6 非饱和地基验证

Figure 6. Verification of three-phase unsaturated medium

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图 7 SWCC考虑变形对位移响应的影响

Figure 7. Displacement responses under SWCC considering effect of deformation

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图 8 不同速度下考虑变形效应所产生的位移增幅随饱和度的变化

Figure 8. Amplification of deformation and saturation considering different velocities

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表 1 单相弹性地基计算参数^[12]

Table 1 Parameters of single-phase elastic medium^[12]

K_s/GPa	K_w/GPa	K_a/kPa	G/MPa	$\nu$	n	ρ_s/(kg·m^-3)	ρ_w/(kg·m^-3)	ρ_a/(kg·m^-3)	S_r
35	2.25	145	25	0.125	0.001	2500	0.001	0.001	0.001

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表 2 双相饱和地基计算参数^[9]

Table 2 Parameters of two-phase saturated medium^[9]

K_b/MPa	K_s/GPa	K_w/GPa	K_a/kPa	G/MPa	$\nu$	n	ρ_s/(kg·m^-3)	ρ_w/(kg·m^-3)	ρ_a/(kg·m^-3)	S_r	k_D/(m·s^-1)
8.77	11	2.25	145	2997.6	0.125	0.3	2500	1000	0.001	1	1×10^-6

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表 3 非饱和地基计算参数^[16]

Table 3 Parameters of unsaturated medium^[16]

K_b/MPa	K_s/GPa	K_w/GPa	K_a/kPa	G_s/MPa	$\nu$	n	ρ_s/(kg·m^-3)	ρ_w/(kg·m^-3)	ρ_a/(kg·m^-3)
8.33	35	2.25	145	3.85	0.35	0.45	2650	1000	1.28

S_r	S_a	η_w/(Ns·m^-2)	η_a/(Ns·m^-2)	S_w0	κ/m²	β/(Pa^-1)	m	k	φ'
0.5，0.8	0.5，0.2	0.001	18×10^-6	0.05	5.3×10^-13	1.0×10^-4	0.5	2	10^°

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