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Analytical theory for one-dimensional thermal consolidation of saturated soil under time-dependent loading |
TUN Rui-Qian1,2, XIE Kang-He1, CHENG Yong-Feng3 |
1. MOE Key Laboratory of Soft Soils and Geoenvironmental Engineering, Zhejiang University, Hangzhou 310027, China;
2. Department of Civil Engineering, Shaoxing University, Shaoxing 312000, China;
3. Beijing Electric Power Construction Research Institute of SGCC, Beijing 102401, China |
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Abstract Based on seepage theory, thermoelasticity theory and consolidation theory for saturated soil, the one-dimensional thermal consolidation of saturated soil under time-dependent loading was investigated with analytical methods by establishing a mathematical model. The analytical solutions of excess pore-water pressure, temperature increase were derived based on the impulse theorem of the theory of partial differential equations, and the expressions of settlement, average consolidation degree were also given. A relevant computer program was developed, and the one-dimensional thermal consolidation behaviour of saturated soil was investigated by comparing with the consolidation solution without thermal effect. The results show that the behaviour of thermal consolidation is affected greatly by the loading time, the temperature increase and the rate of heat conduction. Due to the influence of temperature, the excess pore-water pressure dissipates more quickly and the settlement of ground decreases in the process of thermal consolidation. The average consolidation degrees defined by settlement and by pore-water pressure are different.
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Published: 28 September 2009
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变荷载下饱和土一维热固结解析理论
基于渗流理论、热弹性理论和饱和土固结理论,通过建立数学模型,采用解析方法研究了变荷载下饱和土的一维热固结问题.利用偏微分方程理论中的冲量定理,得到土层内部超静孔压、温度增量的解析解,并由此求出地基沉降、平均固结度的表达式.根据所得解编制了计算程序,分析了饱和土的一维热固结性状,并与不考虑温度影响的解进行比较.结果表明,加载时间、温度增量、热传导速率等对土体热固结性状有重要影响;受温度影响,热固结中的超静孔压消散速度加快、地基沉降减小;按沉降定义和按孔压定义的地基平均固结度是不同的.
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