大流速渗透地层三管冻结稳态温度场解析解  

Analytical Solution of Three-pipe Freezing Steady-state Temperature Field in High-speed Seepage Strata of Underground Water

作　　者：张世琪 荣传新[1] 王彬[1] 施鑫 董艳宾 杨凡 ZHANG Shi-qi;RONG Chuan-xin;WANG Bin;SHI Xin;DONG Yan-bin;YANG Fan(School of Civil Engineering and Architecture,Anhui University of Science and Technology,Huainan 232001,China)

机构地区：[1]安徽理工大学土木建筑学院,淮南232001

出　　处：《科学技术与工程》2020年第28期11511-11519,共9页Science Technology and Engineering

基　　金：国家自然科学基金(51374010,51474004)。

摘　　要：采用“分段等效”的方法对水热耦合作用下三管冻结稳态温度场的冻结锋面进行简化,通过定义“调节系数”,利用势函数叠加原理推导了三管冻结温度场解析解。结合三管冻结大型物理模型试验,将解析解计算结果与试验结果进行比较。结果表明,解析解计算结果与试验结果较为吻合。当渗流速度由0增加至6 m/d时,渗流场的存在使得三管冻结温度场进入稳定阶段的时间延长了1000 min,是无渗流速度时的1.57倍;同时,上游区域冻结锋面的扩展范围减小,下游区域的扩展范围增大,两侧区域的扩展范围基本相等。由解析解可以得出,渗流场使得上、两侧、下游轴线上的平均温度由-9.15、-7.76、-9.10℃降低为-9.71、-10.02、-9.10℃,说明渗流场的存在对三管冻结稳态温度场分布规律影响较大,为大流速渗透地层人工冻结设计提供参考。The segmental equivalent method was used to simplify the freezing front of the three-pipe freezing steady-state temperature field under the hydrothermal coupling.By defining the adjustment coefficient,the analytical solution of the three-pipe freezing temperature field was derived by the principle of potential function superposition.Combined with the three-pipe freezing large-scale physical model test,the analytical solution calculation results were compared with the test results.The results show that the analytical solution calculation results are in good agreement with the experimental results.When the seepage speed increases from 0 m/d to 6 m/d,the existence of the seepage field makes the time for the three-pipe freezing temperature field to enter the stable phase extended by 1000 minutes,which is 1.57 times of no seepage.Meanwhile,the upstream area is frozen.The expansion range of the front is reduced,the expansion range of the downstream region is increased,and the expansion ranges of the two sides are basically equal.From the analytical solution,it can be concluded that the percolation field reduces the average temperature on the upstream/both sides/downstream axis from-9.15℃,-7.76℃and-9.10℃to-9.71℃,-10.02℃and-9.10℃,respectively.It indicates the existence of seepage field has a great influence on the distribution of the steady-state temperature field of the three-pipe freezing,which provides a reference for the design of artificial freezing in high-speed seepage formations.

关 键 词：大流速渗透地层 水热耦合 三管冻结 温度场 解析解 

分 类 号：TD265.3[矿业工程—矿井建设]