冻土模型试验试样冻结时间计算分析

doi:10.7522/j.issn.1000-0240.2019.0109

摘要/Abstract

摘要： 快速简单地确定试样的冻结时间，对模型试验的设计具有重要意义。首先进行了不同干密度冻土模型试样整体冻结达到预设负温的试验，发现试样整体降到预设负温的时间随着干密度的增大而略有增加。然后利用COMSOL Multiphysics软件，在不考虑水分迁移的条件下，对不同干密度粉砂土试样和不同尺度条件下的正方体亚黏土试样的冻结时间进行数值模拟。将模拟结果与试验结果进行对比，发现简化条件下不同干密度的粉砂土试样能反应试样在冻结过程中冻结时间的主要特征，模拟结果中达到预设负温的时间与试验的实测结果基本吻合。正方体试样数值模拟的结果表明在同一干密度、同一含水量条件下，试样降到预设负温的时间随着体积的增大呈现幂函数增大的规律。所以，在进行模型试验设计时，可先根据试验条件进行简单的数值分析，以较合理、经济的安排试验时间，同时也可保证试样冻结质量。

关键词: 模型试样, 预设负温, 冻结过程, 数值模拟

Abstract: Quick and easy determination of the freezing time of a specimen is of great significance for the design of model test. Firstly, the freezing test of frozen soil specimens with different dry densities was carried out. It was found that the freezing time increases slightly with the increase of dry density. Then the freezing time of silty sand specimens with different dry densities and sub-clay cube specimens with different scales was simulated by COMSOL Multiphysics software without considering water migration. Comparing with the test results, it was found that the numerical simulation results of silty sand specimens with different dry densities under the simplified conditions can reflect the main characteristics of temperature change during freezing process, and the calculated time for the specimen to reach the preset negative temperature is basically consistent with the measured results. The results of numerical simulation of cubic specimen also show that the time when the specimen drops to the preset negative temperature increases with increase of volume under the same dry density and water content, and follow a power function. Therefore, in the process of model test design, a simple numerical analysis can be carried out according to the test conditions, in order to arrange the test time reasonably and economically, while ensuring the freezing quality of the specimen.

Key words: model specimen, preset negative temperature, freezing process, numerical simulation

中图分类号:

P642.14

张文强, 王羿, 牛永红. 冻土模型试验试样冻结时间计算分析[J]. 冰川冻土, 2019, 41(2): 384-391.

ZHANG Wenqiang, WANG Yi, NIU Yonghong. Calculation and analysis of freezing time of frozen soil model test specimen[J]. Journal of Glaciology and Geocryology, 2019, 41(2): 384-391.

参考文献

[1] Ma Wei, Wang Dayan. Studies on frozen soil mechanics in China in past 50 years and their prospect[J]. Chinese Journal of Geotechnical Engineering, 2012, 34(4):625-640.[马巍, 王大雁. 中国冻土力学研究50 a回顾与展望[J]. 岩土工程学报, 2012, 34(4):625-640.]
[2] Ma Wei, Wang Dayan. Frozen soil mechanics[M]. Beijing:Science Press, 2014.[马巍, 王大雁. 冻土力学[M]. 北京:科学出版社, 2014.]
[3] Yu Qun, Zhang Zhaoxiang, Shen Zhengya, et al. Cutting mechanics properties of frozen soil[J]. Journal of Beijing Agricultural Engineering University, 1991, 11(3):41-50.[余群, 张招祥, 沈震亚, 等. 冻土的切削力学特性[J]. 北京农业工程大学学报, 1991, 11(3):41-50.]
[4] Phukan A, Takasugi S. Excavation resistance of artificially frozen soils[C]//The 3rd International Symposium on Ground Freezing, Hanover:CRREL, 1982:35-39.
[5] Liu Haizong, Zhou Ming, Xu Xiaoliang. The experiment and research of ditcher cutter for frozen soil with stone[J]. Journal of Shanghai Jiaotong University, 1996, 30(12):47-52.[刘海宗, 周铭, 许肖良. 冻土及夹石冻土开挖刀具的试验研究[J]. 上海交通大学学报, 1996, 30(12):47-52.]
[6] Yu Qihao, Zhu Yuanlin, Zhang Jianming, et al. Effect of pendulum speed on impact toughness of frozen soil[J]. Chinese Journal of Geotechnical Engineering, 1997, 19(4):21-24.[俞祁浩, 朱元林, 张建明, 等. 冲击速度对冻土冲击韧度的影响[J]. 岩土工程学报, 1997, 19(4):21-24.]
[7] Ma Qinyong, Cai Meifeng. Experiment and analysis on drillability of artificially frozen clay[J]. Chinese Journal of Geotechnical Engineering, 2003(5):634-637.[马芹永, 蔡美峰. 人工冻结黏土可钻性试验与分析[J]. 岩土工程学报, 2003(5):634-637.]
[8] Li Xiaolin, Wang Hongjian, Niu Yonghong. The strength and failure properties of frozen clay under varying loading rates[J]. Chinese Journal of Geotechnical Engineering, 2017, 39(12):2335-2340.[栗晓林, 王红坚, 牛永红. 不同加载速率下冻结黏土的强度及破坏特性[J]. 岩土工程学报, 2017, 39(12):2335-2340.]
[9] Li Xiaolin, Wang Hongjian, Zou Shaojun, et al. Research state of deformation characteristic of frozen soil under cyclic loading and problems in frozen excavation[J]. Journal of Glaciology and Geocryology, 2017, 39(1):92-101.[栗晓林, 王红坚, 邹少军, 等. 循环荷载下冻土变形特性研究现状及冻土开挖问题[J]. 冰川冻土, 2017, 39(1):92-101.]
[10] Haynes F D, Karalius J A. Effect of temperature on the strength of frozen silt:CRREL report 77-3[R]. Hanover, NH, USA:US Army CRREL, 1977.
[11] Zhu Yuanlin, Carbee D L. Uniaxial compressive strength of frozen silt under constant deformation rates[J]. Cold Regions Science and Technology, 1984, 9(1):3-15.
[12] Wu Ziwang, Ma Wei. Strength and creep of frozen soil[M]. Lanzhou:Lanzhou University Press, 1994.[吴紫汪, 马巍. 冻土强度与蠕变[M]. 兰州:兰州大学出版社, 1994.]
[13] Tsytovich N A. The mechanics of frozen ground[M]. Zhang Changqing, Zhu Yuanlin, trans. Beijing:Science Press, 1985.[崔托维奇H A. 冻土力学[M]. 张长庆, 朱元林, 译. 北京:科学出版社, 1985.]
[14] Gao Juan, Liao Mengke, Chang Dan, et al. Sensitivity analysis of the factors affecting the volumetric deformation of frozen sandy soil[J]. Journal of Glaciology and Geocryology, 2018, 40(2):346-354.[高娟, 廖孟柯, 常丹, 等. 冻结砂土体积变形影响因素的敏感性分析[J]. 冰川冻土, 2018, 40(2):346-354.]
[15] Chen Dun, Ma Wei, Zhao Shuping, et al. Recent research progress and prospect of frozen soil dynamics[J]. Journal of Glaciology and Geocryology, 2017, 39(4):868-883.[陈敦, 马巍, 赵淑萍, 等. 冻土动力学研究的现状及展望[J]. 冰川冻土, 2017, 39(4):868-883.]
[16] Zhang Zhaoxiang, Yu Qun. An experimental and theoretical investigation on the cutting resistance of frozen soil[J]. Journal of Glaciology and Geocryology, 1994, 16(2):104-112.[张招祥, 余群. 冻土切削力学特性的试验和理论分析[J]. 冰川冻土, 1994, 16(2):104-112.]
[17] Wu Zhen, Yue Zurun,Wang Tianliang. Test analysis on freezing temperature of fine round gravel soil in harbin-qiqihar railway[J]. Journal of Shijiazhuang Tiedao University(Natural Science), 2013, 26(1):37-40.[吴镇, 岳祖润, 王天亮. 哈齐客专细圆砾土冻结温度测试分析[J]. 石家庄铁道大学学报(自然科学版), 2013, 26(1):37-40.]
[18] Wan Xusheng, Lai Yuanming. Experimental study on freezing temperature and salt crystal precipitation of sodium sulphate solution and sodium sulphate saline soil[J]. Chinese Journal of Geotechnical Engineering, 2013, 35(11):2090-2096.[万旭升, 赖远明. 硫酸钠溶液和硫酸钠盐渍土的冻结温度及盐晶析出试验研究[J]. 岩土工程学报, 2013, 35(11):2090-2096.]
[19] Zhou Jiazuo, Tan Long, Wei Changfu, et al. Experimental research on freezing temperature and super-cooling temperature of soil[J]. Rock and Soil Mechanics, 2015, 36(3):777-785.[周家作, 谭龙, 韦昌富, 等. 土的冻结温度与过冷温度试验研究[J]. 岩土力学, 2015, 36(3):777-785.]
[20] Liu Zongchao. Freezing points of wet soil and its measurement[J]. Journal of China University of Mining & Technology, 1986(3):27-34.[刘宗超. 湿土冻结温度及其测定[J]. 中国矿业学院学报, 1986(3):27-34.]
[21] Wang Dayan, Ma Wei, Wang Yongtao, et al. Effects of high pressure on cooling process of clays in deep alluvium[J]. Chinese Journal of Geotechnical Engineering, 2016, 38(10):1889-1894.[王大雁, 马巍, 王永涛, 等. 高压力作用下深部黏土冷却过程及其特征研究[J]. 岩土工程学报, 2016, 38(10):1889-1894.]
[22] Standard for soil test method:GB/T 50123-1999[S]. Beijing:China Planning Press, 1999.[土工试验方法标准:GB/T 50123-1999[S]. 北京:中国计划出版社, 1999.]
[23] Xu Xiaozu, Wang Jiacheng, Zhang Lixin. Physics of frozen soil[M]. 2nd ed. Beijing:Science Press, 2010.[徐敩祖, 王家澄, 张立新. 冻土物理学[M]. 第2版. 北京:科学出版社, 2010.]
[24] Zhang Ting, Yang Ping. Effect of different factors on the freezing temperature of shallow top soil[J]. Journal of Nanjing Forestry University (Natural Science Edition), 2009, 33(4):132-134.[张婷, 杨平. 不同因素对浅表土冻结温度的影响[J]. 南京林业大学学报(自然科学版), 2009, 33(4):132-134.]
[25] Bing Hui, Ma Wei. Experimental study on freezing point of saline soil[J]. Journal of Glaciology and Geocryology, 2011, 33(5):1106-1113.[邴慧, 马巍. 盐渍土冻结温度的试验研究[J]. 冰川冻土, 2011, 33(5):1106-1113.]
[26] Liu Wei, Fan Aiwu, Huang Xiaoming. Porous media theory and application of heat and mass transfer[M]. Beijing:Science Press, 2006.[刘伟, 范爱武, 黄晓明. 多孔介质热传质理论与应用[M]. 北京:科学出版社, 2006.]
[27] Taylor G S, Luthin J N. A model for coupled heat and moisture transfer during soil freezing[J]. Revue Canadienne De Géotechnique, 1978, 15(4):548-555.
[28] Yang Shiming, Tao Wenquan. Heat transfer[M]. 4th ed. Beijing:Higher Education Press, 2006.[杨世铭, 陶文铨. 传热学[M]. 4版. 北京:高等教育出版社, 2006.]
[29] Guo Kuanliang, Kong Xiangqian, Chen Shannian. Numerical heat transfer[M]. Hefei:University of Science and Technology of China Press, 1988.[郭宽良, 孔祥谦, 陈善年. 计算传热学[M]. 合肥:中国科学技术大学出版社, 1988.]
[30] Liu Yue, Wang Zhengzhong, Wang Yi, et al. Frost heave model of canal considering influence of moisture migration and phase transformation on temperature field[J]. Transactions of the Chinese Society of Agricultural Engineering, 2016, 32(17):83-88.[刘月, 王正中, 王羿, 等. 考虑水分迁移及相变对温度场影响的渠道冻胀模型[J]. 农业工程学报, 2016, 32(17):83-88.]
[31] Liu Zhen, Yu Xiong. Coupled thermo-hydro-mechanical model for porous materials under frost action:theory and implementation[J]. Acta Geotechnica, 2011, 42(6):51-65.
[32] He Chaohong, Feng Xiao. Principles of chemical engineering[M]. Beijing:Science Press, 2007.[何潮洪, 冯霄. 化工原理[M]. 北京:科学出版社, 2007.]