考虑热力耦合的单层饱和土体热固结解析解

吴涛; 欧阳桥; 张云鹏; 徐剑波; 宋建军; 吴文兵

doi:10.20265/j.cnki.issn.1007-2993.2025-0245

考虑热力耦合的单层饱和土体热固结解析解

doi: 10.20265/j.cnki.issn.1007-2993.2025-0245

吴涛^{1, 2},
欧阳桥^{1, 2},
张云鹏^2, ,,
徐剑波¹,
宋建军¹,
吴文兵²

1.
中国一冶集团有限公司交通工程公司，湖北武汉　430081
2.
中国地质大学（武汉）工程学院，湖北武汉　430074

基金项目: 国家自然科学基金青年科学基金项目（52408407）

详细信息

作者简介:
吴　涛，男，1996年生，博士，工程师，主要从事桩基工程理论与技术研究工作。E-mail：wutao2018@zju.edu.cn

通讯作者:
张云鹏，男，1995年生，博士，特任教授，主要从事桩基静动力学理论及实验研究工作。E-mail：zypsky@cug.edu.cn

中图分类号: TU431
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- 文章访问数: 11
- HTML全文浏览量: 3
- PDF下载量: 2
- 被引次数: 0
出版历程
- 收稿日期: 2025-06-04
- 修回日期: 2025-08-12
- 录用日期: 2025-08-25
- 网络出版日期: 2026-04-09
- 刊出日期: 2026-04-09

Analytical solution for thermal consolidation of single-layered saturated soil considering thermo-mechanical coupling effect

WU Tao^{1, 2},
OUYANG Qiao^{1, 2},
ZHANG Yunpeng^{2
, ,},
XU Jianbo¹,
SONG Jianjun¹,
WU Wenbing²

1.
Traffic Engineering Co., China First Metallurgical Co., Ltd., Wuhan 430081, Hubei, China
2.
Faculty of Engineering, China University of Geosciences, Wuhan 430074, Hubei, China

Funds: Supported by the National Natural Science Foundation of China （52408407)）

摘要

摘要: 基于渗流理论、饱和土体固结理论和热弹性理论，建立了单层线性土体一维热固结模型，采用Laplace变换和其对应的数值逆变换的方法对土体表面作用有瞬时热源的热固结模型进行了解析求解，通过与现有两种标准固结解答的对比，验证了本文解答的准确性。基于所推导的解析解，通过参数分析详细讨论了温度增量、热扩散系数与固结系数比值对土体热固结特性的影响。结果表明：温度增量增大可以促进孔隙水压力的消散，从而促进土体的固结；热扩散系数与固结系数的比值越大，土体热膨胀和固结的速率越快；热应力的存在可以促进孔隙水压力的消散，加快土体固结速率，并通过土体的热膨胀减小土体的最终沉降量。
- 热固结 /
- 热力耦合 /
- 饱和土 /
- 解析解
Abstract: Based on seepage theory, saturated soil consolidation theory, and thermoelasticity theory, a linear one-dimensional single-layered soil thermal consolidation model was established, and the Laplace transformation and its corresponding numerical inverse transformation method were used to derive the analytical solution for the consolidation under an instantaneous heat source on the soil surface. The accuracy of the derived solution has been verified by comparison with two existing standard consolidation solutions. Through a parametric study, the effects of temperature increment, the ratio of thermal diffusivity to consolidation coefficient on the thermal consolidation characteristics of soil were discussed. The results indicate that: the increase of temperature increment can promote the dissipation of pore water pressure, thereby accelerate the consolidation of soil; the larger the ratio of thermal diffusivity to consolidation coefficient, the faster the thermal expansion and consolidation rate of soil; the presence of thermal stress can promote the dissipation of pore water pressure, accelerate the soil consolidation rate, and reduce the final settlement of the soil through the thermal expansion of the soil.
- thermal consolidation /
- thermo-mechanical coupling /
- saturated soil /
- analytical solution

HTML全文

图 1 饱和线性单层土体一维热固结模型示意图

Figure 1. Schematic diagram of a one-dimensional thermal consolidation model of saturated linear single-layer soil

下载: 全尺寸图片幻灯片

图 2 不考虑热荷载时超静孔压等时线

Figure 2. Isochrones of excess pore water pressure without considering thermal loading

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图 3 考虑热荷载时不同荷载$ {q}_{0} $下的沉降曲线

Figure 3. Settlement curve under different load $ {q}_{0} $ when thermal load is considered

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图 4 本文解与试验结果固结度曲线对比

Figure 4. Comparison of the consolidation degree curves between theoretical and experimental results in this paper

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图 5 不同初始温度$ {T}_{0} $对沉降的影响

Figure 5. Effect of different initial temperatures $ {T}_{0} $ on sedimentation

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图 6 不同解答下的对比分析曲线图

Figure 6. Comparative analysis curves under different solutions

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图 7 温度增量$ {T}_{\mathrm{s}} $对孔压和沉降曲线的影响

Figure 7. Effect of temperature increment $ {T}_{\mathrm{s}} $ on pore pressure and settlement curve

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图 8 温度增量$ {T}_{\mathrm{s}} $对固结度曲线的影响

Figure 8. Effect of temperature increment $ {T}_{\mathrm{s}} $ on the consolidation curve

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图 9 热参数$ \kappa /{c}_{\mathrm{v}} $值对孔压和沉降曲线的影响

Figure 9. Effect of thermal parameter $ \kappa /{c}_{\mathrm{v}} $ on pore pressure and settlement curve

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图 10 热参数$ \kappa /{c}_{\mathrm{v}} $值对固结度曲线的影响

Figure 10. Effect of thermal parameter $ \kappa /{c}_{\mathrm{v}} $ value on consolidation curve

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表 1 饱和土层取值参数^[34]

Table 1. Parameters of saturated soil layer^[34]

名称	符号	单位	取值
土层厚度	H	m	10
变形模量	E	MPa	10
初始温度	T₀	℃	25
土体泊松比	μ		0.3
水重度	γ_w	kN∙m⁻³	10
土体热膨胀系数	a	10⁻⁴/℃	2
土层导热系数	K	W/m/℃	0.02
体积比热	C	10⁶J/m³/℃	3.552

下载: 导出CSV

表 2 计算模型其他参数^[35]

Table 2. Other calculation model parameters^[35]

名称	符号	单位	取值
固结系数	$ {c}_{\text{v}} $	10⁻⁷ m²/s	4.27
热扩散系数	E	10⁻⁹ m²/s	5.6
系数	A	10⁻³ MPa/℃	1.2308
热荷载系数	β	10⁻³ MPa/℃	5
外荷载	q₀	MPa	0.2
界面参数	α		8

下载: 导出CSV

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