饱和砂层渗流冻结水热耦合模型与试验验证
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摘要
为研究渗流作用下饱和砂层冻结规律,根据冻结过程中土体水分迁移及热量变化、热力学和渗流力学的基本理论,并考虑冻结过程中绝对孔隙率的降低对渗流的影响,基于Harlan水热耦合模型,建立了饱和砂层含相变全参数渗流冻结耦合数学模型,并应用COMSOL有限元软件与MATLAB编程,实现了耦合数学模型的数值求解。设计了相似模型试验验证了该模型及方法的合理性。研究结果表明:数值模拟结果与试验结果较为吻合,数学模型与求解方法合理、有效,为今后渗流地层冻结的拓展研究提供可靠数学与试验基础。
In order to deal with the freezing law of saturated sand layer in seepage process,according to the basic theory of soil moisture transfer and heat change,thermodynamics and seepage mechanics in freezing process,the decrease of absolute porosity in freezing process is also considered,based on the coupled model of Harlan,a mathematical model of full frozen coupling with phase change in saturated sand layer is established. The numerical solution of the coupling mathematical model is realized by using COMSOL finite element software and MATLAB programming,and the similarity model test is designed to verify the rationality of the model and method. The results show that the numerical simulation results are in good agreement with the experimental results,and the mathematical model and the solution method are reasonable and effective. It provides a reliable mathematical and experimental basis for the further study of seepage formation freezing.
In order to deal with the freezing law of saturated sand layer in seepage process,according to the basic theory of soil moisture transfer and heat change,thermodynamics and seepage mechanics in freezing process,the decrease of absolute porosity in freezing process is also considered,based on the coupled model of Harlan,a mathematical model of full frozen coupling with phase change in saturated sand layer is established. The numerical solution of the coupling mathematical model is realized by using COMSOL finite element software and MATLAB programming,and the similarity model test is designed to verify the rationality of the model and method. The results show that the numerical simulation results are in good agreement with the experimental results,and the mathematical model and the solution method are reasonable and effective. It provides a reliable mathematical and experimental basis for the further study of seepage formation freezing.
引文
1程桦.深厚冲积层冻结法凿井理论与技术.北京:科学技术出版社,2016Cheng Hua.Theory and technology of freezing in deep alluvium.Beijing:Science and Technology Press,2016
2 程桦,蔡海兵.我国深立井冻结法凿井安全现状与思考.安徽理工大学学报(自然科学版),2013;33(2):1—6Cheng Hua,Cai Haibing.Safety situation and thinking about deep shaft construction with freezing method in China.Journal of Anhui University of Science and Technology(Natural Science),2013;33(2):1—6
3 程桦,蔡海兵.特厚表土层立井冻结方案多目标灰色局势决策.安徽理工大学学报(自然科学版),2007;27(3):22—25Cheng Hua,Cai Haibing.Multi-target gray situation decision making for project determination of shaft freeing in deep alluvium.Journal of Anhui University of Science and Technology(Natural Science),2007;27(3):22—25
4 李志清,赤风启.冻结壁未交圈的原因与处理措施.矿山建设工程新进展——2006全国矿山建设学术会议文集(上册).徐州:中国矿业大学出版社,2006:450—454Li Zhiqing,Chi Fengqi.The reason and measures of freezing the wall not delivered circle.The Newly Progress of Mining Construction Engineering—Proceeding of National Symposium of Mining Construction.Xuzhou:China University of Mining and Technology Publishing House,2006:450—454
5 叶玉西,石红伟,杨明红.伊犁矿区某矿副井冻结壁不交圈原因分析及处置.矿业工程,2013;11(6):20—21Ye Yuxi,Si Hongwei,Yang Minghong.Analysis and treatment of unjoint circle of auxiliary shaft of a Yili mining area.Mining Engineering,2013;11(6):20—21
6 周晓敏,王梦恕,张绪忠.渗流作用下地层冻结壁形成的模型试验研究.煤炭学报,2005;30(2):196—201Zhou Xiaomin,Wang Mengshu,Zhang Xuzhong.Model test research on the formation of freezing wall in seepage ground.Journal of China Coal Society,2005;30(2):196—201
7 王朝辉,朱向荣,曾国熙,等.动水条件下土层液氮冻结模型试验的研究.浙江大学学报,1998;32(5):534—540Wang Zhaohui,Zhu Xiangrong,Zeng Guoxi,et al.The experimental researches on the ground freezing with liquid nitrogen under water flowing.Journal of Zhejiang University,1998;32(5):534—540
8 Harlan R L.Analysis of coupled heat-fluid transport in partially frozen soil.Water Resources Research,1973;9:1314—1323
9 Liu Z,Sun Y,Yu X.Theoretical basis for modeling porous geomaterials under frost actions:a review.Soil Science Society of America Journal,2012;76(2):313—330
10 Li Q,Sun S,Xue Y.Analyses and development of a hierarchy of frozen soil models for cold region study.Journal of Geophysical Research Atmospheres,2010;115(3):1—18
11 Kurylyk B L,Watanabe K.The mathematical representation of freezing and thawing processes in variably-saturated,non-deformable soils.Advances in Water Resources,2013;60:160—177
12 Vitel M,Rouabhi A,Tijani M,et al.Modeling heat and mass transfer during ground freezing subjected to high seepage velocities.Computers and Geotechnics,2016;73:1—15
13 杨平,皮爱如.高流速地下水流地层冻结壁形成的研究.岩土工程学报,2001;23(2):167—171Yang Ping,Pi Airu.Study on the effects of large groundwater flow velocity on the formation of frozen wall.Chinese Journal of Geotechnical Engineering,2001;23(2):167—171
14 徐光苗.寒区岩体低温、冻融损伤力学特性及多场耦合研究.武汉:中国科学院研究生院(武汉岩土力学研究所),2006Xu Guangmiao.Study on mechanical characteristics and multiphysical coupling problems of rock at low temperatures.Wuhan:Chinese Academy of Sciences(Institute of Rock and Soil Mechanics),2006
15 Sres A.Theoretische und experimentelle Untersuchungen zur künstlichen Bodenvereisung im str9menden Grundwasser.Zurich:Swiss Federal Institute of Technology,2009
16 徐敩祖,王家澄,张立新.冻土物理学.北京:科学出版社,2010Xu Xiaozu,Wang Jiacheng,Zhang Lixin.Physical science of frozen soil.Beijing:Science Press,2010
17 崔广心.相似理论与模型试验.徐州:中国矿业大学出版社,1990Cui Guangxin.Similarity theory and model test.Xuzhou:China University of Mining and Technology Press,1990
2 程桦,蔡海兵.我国深立井冻结法凿井安全现状与思考.安徽理工大学学报(自然科学版),2013;33(2):1—6Cheng Hua,Cai Haibing.Safety situation and thinking about deep shaft construction with freezing method in China.Journal of Anhui University of Science and Technology(Natural Science),2013;33(2):1—6
3 程桦,蔡海兵.特厚表土层立井冻结方案多目标灰色局势决策.安徽理工大学学报(自然科学版),2007;27(3):22—25Cheng Hua,Cai Haibing.Multi-target gray situation decision making for project determination of shaft freeing in deep alluvium.Journal of Anhui University of Science and Technology(Natural Science),2007;27(3):22—25
4 李志清,赤风启.冻结壁未交圈的原因与处理措施.矿山建设工程新进展——2006全国矿山建设学术会议文集(上册).徐州:中国矿业大学出版社,2006:450—454Li Zhiqing,Chi Fengqi.The reason and measures of freezing the wall not delivered circle.The Newly Progress of Mining Construction Engineering—Proceeding of National Symposium of Mining Construction.Xuzhou:China University of Mining and Technology Publishing House,2006:450—454
5 叶玉西,石红伟,杨明红.伊犁矿区某矿副井冻结壁不交圈原因分析及处置.矿业工程,2013;11(6):20—21Ye Yuxi,Si Hongwei,Yang Minghong.Analysis and treatment of unjoint circle of auxiliary shaft of a Yili mining area.Mining Engineering,2013;11(6):20—21
6 周晓敏,王梦恕,张绪忠.渗流作用下地层冻结壁形成的模型试验研究.煤炭学报,2005;30(2):196—201Zhou Xiaomin,Wang Mengshu,Zhang Xuzhong.Model test research on the formation of freezing wall in seepage ground.Journal of China Coal Society,2005;30(2):196—201
7 王朝辉,朱向荣,曾国熙,等.动水条件下土层液氮冻结模型试验的研究.浙江大学学报,1998;32(5):534—540Wang Zhaohui,Zhu Xiangrong,Zeng Guoxi,et al.The experimental researches on the ground freezing with liquid nitrogen under water flowing.Journal of Zhejiang University,1998;32(5):534—540
8 Harlan R L.Analysis of coupled heat-fluid transport in partially frozen soil.Water Resources Research,1973;9:1314—1323
9 Liu Z,Sun Y,Yu X.Theoretical basis for modeling porous geomaterials under frost actions:a review.Soil Science Society of America Journal,2012;76(2):313—330
10 Li Q,Sun S,Xue Y.Analyses and development of a hierarchy of frozen soil models for cold region study.Journal of Geophysical Research Atmospheres,2010;115(3):1—18
11 Kurylyk B L,Watanabe K.The mathematical representation of freezing and thawing processes in variably-saturated,non-deformable soils.Advances in Water Resources,2013;60:160—177
12 Vitel M,Rouabhi A,Tijani M,et al.Modeling heat and mass transfer during ground freezing subjected to high seepage velocities.Computers and Geotechnics,2016;73:1—15
13 杨平,皮爱如.高流速地下水流地层冻结壁形成的研究.岩土工程学报,2001;23(2):167—171Yang Ping,Pi Airu.Study on the effects of large groundwater flow velocity on the formation of frozen wall.Chinese Journal of Geotechnical Engineering,2001;23(2):167—171
14 徐光苗.寒区岩体低温、冻融损伤力学特性及多场耦合研究.武汉:中国科学院研究生院(武汉岩土力学研究所),2006Xu Guangmiao.Study on mechanical characteristics and multiphysical coupling problems of rock at low temperatures.Wuhan:Chinese Academy of Sciences(Institute of Rock and Soil Mechanics),2006
15 Sres A.Theoretische und experimentelle Untersuchungen zur künstlichen Bodenvereisung im str9menden Grundwasser.Zurich:Swiss Federal Institute of Technology,2009
16 徐敩祖,王家澄,张立新.冻土物理学.北京:科学出版社,2010Xu Xiaozu,Wang Jiacheng,Zhang Lixin.Physical science of frozen soil.Beijing:Science Press,2010
17 崔广心.相似理论与模型试验.徐州:中国矿业大学出版社,1990Cui Guangxin.Similarity theory and model test.Xuzhou:China University of Mining and Technology Press,1990