基于含水流砂地层竖向直排冻结条件下冻结壁的形成和发展过程,将温度场时空分布情况进行了合理简化,根据单孔稳态导热方程和叠加原理,推导了竖向直排三管冻结壁温度分布计算公式,并推广到直排和多排冻结壁温度场分布计算,可计算不同冻结锋面位置时冻结壁内任意区域的温度值和整个冻结壁的平均温度,进而分析冻结壁的温度和强度变化情况。计算结果表明:主面温度值与冻结管中心的距离呈近似线性关系,而轴面温度场呈下凹形抛物线分布,顶点为轴面与主面交汇处;由计算结果可判断内部界面位置的土体强度较弱且发展较慢,应作为预防冻结壁软弱破坏的重点区域;理论计算结果与对应位置的现场实测数据吻合较好。

Based on the freezing wall formation and development process under the conditions of the vertical straight freezing in water content quicksand formatio n, a rational simplification was conducted on the time and space distribution condition of the temperature field .According to the single pipe heat conduction equation an d the superposition principle, the calculation formula for the temperature distribution of the vertical straight three pipe freezing wall was derived.The calculation formula was promoted to the temperature distribution of the single row and multi row freezing wall.The temperature value of any region in the freezing wall at different freezing f ront location and the average temperature of the whole freezing wall could be calculated and thus the freezing wall temperature and the strength variations could be an alyzed.The calculation results showed that the main face temperature value and the central distance of the freezing pipe was in a linear relationship, the axial face temp erature field was in a down concave parabolic distribution and the top point was the cross point of the axial face and main face. The calculation results could judge that t he soil strength at the inner boundary location was weak and developed slowly and could be the key region to prevent soften and failure of the freezing wall.The theoret ical calculation results and the site measured data at the related location could be well fitted.

国家自然科学基金资助项目(50974126)；教育部科学技术研究重点资助项目(109034)；教育部博士点基金资助项目(20110023110004)；