考虑土性参数不确定性的多圈管冻结温度场分析  

Analysis of temperature field for multi-circle-pipe freezing considering variability of soil parameters

作　　者：王涛[1,2] 周国庆[1,2] 阴琪翔[1] 夏利江[2] 刘宇翼[1] 

机构地区：[1]中国矿业大学深部岩土力学与地下工程国家重点实验室,江苏徐州221116 [2]中国矿业大学力学与建筑工程学院,江苏徐州221116

出　　处：《采矿与安全工程学报》2016年第2期297-304,共8页Journal of Mining & Safety Engineering

基　　金：国家重点基础研究发展计划(973)项目(2012CB026103);国家高技术研究发展计划(863)项目(2012AA06A401);江苏省普通高校研究生科研创新计划项目(CXLX13_942)

摘　　要：为了深入研究土性参数空间变异性对环形多圈管冻结温度场的影响规律,将土体传热区域的导热系数、体积比热容及相变潜热模拟为随机场,基于随机场局部平均理论,建立了土性参数由点特性过渡到平面平均特性的方差计算方法。采用Neumann随机有限元法,自行研制了随机有限元程序,计算得到多圈管冻结温度场统计分布规律。结果表明:随机场及其局部平均理论能合理考虑土性参数空间上的不确定性;二维随机场三角形单元局部平均法能与三角形单元有限元法完美结合,随机场单元与有限元单元对应关系清晰,易于程序的编制;土性参数的随机性导致了冻结温度场分布的随机性;在本文条件下,形成的稳定冻结壁平均温度为-22.6℃,平均厚度为10.5 m,相应的变异系数均为0.224,井帮平均温度为-12.8℃,相应的标准差为2.4℃。In order to further investigate the effect of spatial variability of soil parameters on the temperature field of multi-circle-pipe freezing, this paper has proposed a method to calculate the plane average variance from just the point variance by simulating heat transfer coefficient, specific heat capacity and latent heat of phase transition as spatially random fields, and by means of the local average theory of random field. Based on Neumann stochastic finite element method, the stochastic finite element calculation program has been independently developed to figure out the distribution law of temperature field of multi-circle-pipe freezing. The results have shown that the random field and the local average theory can consider the variability of soil parameters reasonably. The two-dimensional triangular local average method can perfectly be combined with triangular finite element method, and the corresponding relation is clearer, and the program is simpler to compile. The randomness of soil parameters results in the randomness of temperature field. In this paper, the mean temperature and the average thickness of stable frozen wall are-22.6 ℃ and 10.5 m. Both of their variable coefficients are 0.224. The mean temperature of shaft-lining is-12.8 ℃ and its standard deviation is 2.4 ℃.

关 键 词：参数变异性 多圈冻结管 温度场 随机有限元法 

分 类 号：TD265[矿业工程—矿井建设]