变荷载作用下考虑半透水边界热传导性的一维饱和土热固结特性研究  

Analysis of one-dimensional thermal consolidation of saturated soil considering heat conduction of semi-permeable drainage boundary under varying loading

作　　者：孙德安[1] 薛垚 汪磊[2,3] SUN De-an;XUE Yao;WANG Lei(Department of Civil Engineering,Shanghai University,Shanghai 200444,China;School of Urban Railway Transportation,Shanghai University of Engineering Science,Shanghai 201620,China;School of Naval Architecture and Civil Engineering,Shanghai Jiao Tong University,Shanghai 200240,China)

机构地区：[1]上海大学土木工程系,上海200444 [2]上海工程技术大学城市轨道交通学院,上海201620 [3]上海交通大学船舶海洋与建筑工程学院,上海200240

出　　处：《岩土力学》2020年第5期1465-1473,1482,共10页Rock and Soil Mechanics

基　　金：国家自然科学基金(No.11672172,No.41630633,No.41807232);中国博士后基金项目面上资助(No.2018M640389)。

摘　　要：为了研究温度变化对一维饱和土固结特性的影响,基于渗流方程和热传导方程,考虑了顶面边界的半透水性和热传导性,提出了变荷载作用下考虑半透水边界热传导性的一维饱和土热固结的半解析解,并分析了其固结特性。首先,引入Laplace变换分别求解了半透水边界条件下热力耦合模型和非热力耦合模型的一维饱和土热固结方程,推出了有效应力、温差和沉降的半解析解;其次,通过Crump方法进行Laplace数值反演,得到时间域内的解析解;然后,将所提解分别退化为单边排水条件下的一维饱和土热固结和Terzaghi一维固结的半解析解,结果与已有文献相同,验证了所推导解的可靠性;最后,通过算例分析了各外荷载作用下半透水边界参数、温度增量、热扩散系数和固结系数对热固结特性的影响。结果表明,半透水边界参数、热扩散系数、固结系数和温度增量对饱和土一维固结特性影响显著。In order to study the influence of the temperature change on the consolidation for saturated soils, this paper presents a semi-analytical solution to the one-dimensional thermal consolidation equations considering the heat conduction of the semi-permeable drainage boundary on basis of the seepage and heat transfer equations. The semi-analytical solutions of excess pore pressure, temperature difference and soil settlement are firstly derived by using the Laplace transform upon the one-dimensional thermal consolidation equations considering the coupled and uncoupled thermo-mechanical models, respectively. Then the analytical solutions for a given time domain are obtained by the Crump’s method. Verification is conducted by reducing the proposed solutions into those under the conditions of the single drainage boundary and the assumptions of Terzaghi’s consolidation, which shows that the proposed solutions are reliable and in good agreement with the existing solutions from literature. Finally, several examples are analyzed to investigate the effects of semi-permeable boundary parameters, thermal diffusion coefficient, consolidation coefficient and temperature increase on the consolidation process of saturated soils under varying loading. All results demonstrate that the consolidation behavior is significantly affected by the investigated parameters.

关 键 词：饱和土 半透水边界 热固结 热力耦合 LAPLACE变换 

分 类 号：TU411[建筑科学—岩土工程]