单管冻结温度场演变规律分析及试验验证
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摘要
为了研究土中水相变(潜热)热传导过程中冻结温度场演变规律,构建了稳定线性冷源作用下单管冻结相变温度场模型,由变量替换法求得冻结温度场随冻结时间演变规律近似解析解,同时利用指数积分函数解析式表达了冻结区和未冻结区的温度场分布,并将理论解析解与冻结槽试验结果进行比对。研究表明:理论与试验结果误差在合理范围内,验证了瞬态冻结温度场分布近似解析解的有效可靠性;单管冻结锋面半径和冻结时间有着平方根关系;冻结温度场在时空维度上服从对数分布,且曲线曲率随冻结时间的增加而逐渐减小。研究成果对认识稳定线性冷源作用下冻结管周围不良地基土温度场演变规律和指导冻结法施工技术有重要意义。
A phase-transition temperature field model for artificial single pipe freezing with a stable linear cold source was established and approximate analytical solution for freezing temperature development with time was obtained by variable substitution method. The temperature distributions in the frozen and non-frozen fields were expressed by an exponential integral function,and the theoretical results were compared with the freezing model test. The research results show that the error between theoretical calculation and test result is within a reasonable range,which verified the effectiveness and reliability of the approximate analytical solution for transient freezing temperature field distribution; the relation between the freezing-front radius and freezing time follows square root equation; the temperature field for a single freezing pipe obeys a logarithmic function in time and space and its curvature decreases with time. The research results have an important engineering significance to understanding the temperature field evolution law of poor foundation soil surrounding a freezing pipe under a stable linear cold source and guiding the freezing construction technology.
A phase-transition temperature field model for artificial single pipe freezing with a stable linear cold source was established and approximate analytical solution for freezing temperature development with time was obtained by variable substitution method. The temperature distributions in the frozen and non-frozen fields were expressed by an exponential integral function,and the theoretical results were compared with the freezing model test. The research results show that the error between theoretical calculation and test result is within a reasonable range,which verified the effectiveness and reliability of the approximate analytical solution for transient freezing temperature field distribution; the relation between the freezing-front radius and freezing time follows square root equation; the temperature field for a single freezing pipe obeys a logarithmic function in time and space and its curvature decreases with time. The research results have an important engineering significance to understanding the temperature field evolution law of poor foundation soil surrounding a freezing pipe under a stable linear cold source and guiding the freezing construction technology.
引文
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[12]尚军,程学磊,张来栋,等.引水沟渠冻结法施工中的温度场、冻结壁演变和开挖稳定性分析[J].水电能源科学,2015(7):139-143.
[13]王效宾,杨平,张婷,等.盾构出洞水平冻结解冻温度场三维有限元分析[J].解放军理工大学学报:自然科学版,2009,10(6):586-590.
[14]靳巍巍,陈有亮,李磊,等.隧道联络通道冻结法施工三维有限元温度场分析[J].上海大学学报:自然科学版,2008,14(1):85-90.
[15]陈之祥,李顺群,夏锦红,等.基于紧密排列土柱模型的冻土热参数计算[J].深圳大学学报:理工版,2017,34(4):393-399.
[2]周扬,周国庆.考虑未冻水单管冻结温度场解析解[J].煤炭学报,2012,37(10):1649-1653.
[3]李方政,夏明萍.基于指数积分函数的人工冻土温度场解析研究[J].东南大学学报:自然科学版,2004,34(4):469-473.
[4]胡向东,黄峰,白楠.考虑上层冻结温度时人工冻结温度场模型[J].中国矿业大学学报,2008,37(4):550-555.
[5]张弛,张涛,韩涛,等.管壁温度非恒定条件下单管冻结温度场解析计算[J].煤炭科学技术,2012,40(3):20-23.
[6]蒋斌松,王金鸽,周国庆.单管冻结温度场解析计算[J].中国矿业大学学报,2009,38(4):463-466.
[7]鲍永亮,郑七振,唐建忠.地铁隧道旁通道冻结法施工监测分析[J].铁道工程学报,2009,(3):93-95.
[8]王志良,申林方,李明宇.冻结法施工的地铁旁通道实测数据分析[J].地下空间与工程学报,2010,6(1):138-143.
[9]李大勇,吕爱钟,张庆贺,等.南京地铁旁通道冻结实测分析研究[J].岩石力学与工程学报,2004,23(2):334-338.
[10]程学磊,李顺群,孙世娟,等.围压和负温对冻土强度和微结构的影响研究[J].广西大学学报:自然科学版,2014,39(1):95-104.
[11]毕贵权,程形燕,石磊,等.地铁隧道水平冻结法施工冻结壁温度场影响参数分析[J].兰州理工大学学报,2009,35(3):121-126.
[12]尚军,程学磊,张来栋,等.引水沟渠冻结法施工中的温度场、冻结壁演变和开挖稳定性分析[J].水电能源科学,2015(7):139-143.
[13]王效宾,杨平,张婷,等.盾构出洞水平冻结解冻温度场三维有限元分析[J].解放军理工大学学报:自然科学版,2009,10(6):586-590.
[14]靳巍巍,陈有亮,李磊,等.隧道联络通道冻结法施工三维有限元温度场分析[J].上海大学学报:自然科学版,2008,14(1):85-90.
[15]陈之祥,李顺群,夏锦红,等.基于紧密排列土柱模型的冻土热参数计算[J].深圳大学学报:理工版,2017,34(4):393-399.