双排管冻结稳态温度场广义解析解

Generalized Analytical Solution to Steady state Temperature Field of Double row pipe Freezing

摘要:

人工地层冻结法施工中，对于双排的布管形式，巴霍尔金给出了双排管冻结稳态温度场解析解.但巴霍尔金解析解只针对对齐和标准错位这两种情况，不能完全满足现实的要求.针对工程中的不规则布管问题，利用调和方程边界条件可分离性，通过叠加单排冻结巴霍尔金问题解和线性温度场问题解，获得了特殊单排冻结问题的解析解；借鉴特殊单排温度场问题，完成布管形式复杂的双排管冻结温度场问题的广义解析解，并利用ANSYS数值模拟和物理模型实验结果验证了解析解的正确性.

Abstract:

For the double row arrangement of freezing pipes in artificial ground freezing, Bakholdin gave an analytical solution to the steady state temperature field. However, the solution only aimed at the inline and general staggered arrangements, which could not meet practical requirements. For irregular arrangements of freezing pipes in engineering practice, in this paper, a generalized analytical solution to the steady state temperature field of double row pipe freezing was proposed. First, based on the separability of boundary conditions for harmonic equations, a special single row pipe freezing problem was solved by superposition of the Bakholdin’s single row pipe solution and the linear temperature field solution. Then, the generalized analytical solution to the steady state temperature field was derived for double row pipe freezing in irregular arrangements according to the special single row pipe solution. Comparison of the analytical solution with the numerical thermal analysis shows that the analytical solution is precise enough, and the experimental results of physical model indicates that the analytical solution meets the accuracy requirement in engineering.