基于Monte-Carlo法的冻土路基随机温度场分析

上海交通大学学报（自然版） ›› 2011, Vol. 45 ›› Issue (05): 738-742.

基于Monte-Carlo法的冻土路基随机温度场分析

孙红1，牛富俊2，陈哲1，葛修润1

（1.上海交通大学船舶海洋与建筑工程学院，上海 200240；2.中国科学院寒区旱区环境与工程研究所冻土工程国家重点实验室，兰州 730000）

收稿日期:2010-11-05 出版日期:2011-05-30 发布日期:2011-05-30
基金资助:
中国科学院重要方向性项目（KZCX2YWQ0304），国家重点基础研究发展规划（973）前期专项研究项目（2010CB434813），中国科学院西部行动计划项目（KZCX2XB210），中国科学院“西部之光”联合学者项目

Stochastic Temperature Field of Frozen Soil Roadbed Based on MonteCarlo Method

SUN Hong-1, NIU Fu-Jun-2, CHEN Zhe-1, GE Xiu-Run-1

(1.School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiaotong University, Shanghai 200240, China; 2.State Key Laboratory of Frozen Soil Engineering, Cold and Arid Regions Environmental and Engineering Institute, Chinese Academy of Sciences, Lanzhou 730000, China)

Received:2010-11-05 Online:2011-05-30 Published:2011-05-30

摘要/Abstract

摘要： 对青藏铁路沿线岩土热学参数进行统计分析，得出岩土的基本统计值及概率分布模式，采用基于Monte-Carlo法的随机有限元方法计算冻土区的路基随机温度场，得出随机温度场的均值和标准差.结果表明：路基的温度场均值和标准差分布趋势基本相似，且在路基上部和路基边坡面附近，其绝对值较大；温度的标准差在边界附近出现最大值，且沿边界向内而逐渐减小；在边界浅层区域，温度的标准差出现局部变化，到达一定深度后趋于稳定，并随着时间增加而增大，路基标准差区域从边界向内而逐渐扩大.

关键词: 随机温度场, 冻土路基, MonteCarlo法, 青藏铁路

Abstract: Because of uncertain thermal parameters, the stochastic temperature field of frozen soil roadbed can be correctly analyzed using the stochastic finite element method. Statistical characteristics of geotechnial thermal parameters were analyzed along the Qinghai-Tibet railway, and then random temperature fields of a typical frozen soil roadbed were calculated by the finite element method based on Monte-Carlo method. The results show that the distribution patterns of average temperature fields are similar to that of the standard deviation, and the bigger values are on the scope of top and slope surface of roadbed. The standard deviation, which is the biggest in the boundary, becomes smaller from the boundary to interior, and comes to more uniform at some depth. The standard deviations increase and its distribution scopes enlarge with the time.

Key words: stochastic temperature field, frozen soil roadbed, Monte-Carlo method, Qinghai-Tibet railway

中图分类号:

TU445

孙红1, 牛富俊2, 陈哲1, 葛修润1. 基于Monte-Carlo法的冻土路基随机温度场分析[J]. 上海交通大学学报（自然版）, 2011, 45(05): 738-742.

SUN Hong-1, NIU Fu-Jun-2, CHEN Zhe-1, GE Xiu-Run-1. Stochastic Temperature Field of Frozen Soil Roadbed Based on MonteCarlo Method[J]. Journal of Shanghai Jiaotong University, 2011, 45(05): 738-742.

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