基于表皮效应的单井循环地下换热系统地下水渗流方程的统一分析  

Unified analysis of groundwater seepage equation of single well cycling ground heat exchange system based on skin effect

作　　者：宋伟 王浩 郑昌金 刘远周 Song Wei;Wang Hao;Zheng Changjin;Liu Yuanzhou(School of Civil Engineering,North China University of Technology,Beijing 100144,China)

机构地区：[1]北方工业大学土木工程学院,北京100144

出　　处：《可再生能源》2021年第6期736-743,共8页Renewable Energy Resources

基　　金：国家自然科学基金资助项目(41602278);北方工业大学人才培育计划资助项目(18XN012-07;18XN154-006)。

摘　　要：单井循环地下换热系统有循环单井、抽灌同井和填砾抽灌同井3种形式。由于上述3种热源井结构不同,导致地下水渗流数学模型繁多、复杂,并且缺乏统一的理论公式,难以应用于实际工程。为解决上述问题,文章利用表皮效应对渗透系数进行统一,获得3种热源井井壁处渗透系数转换关系式。文章以填砾抽灌同井为例,建立地下水渗流方程和边界条件,推导降深方程,并利用渗透系数转换关系式得到其它热源井的降深方程。研究结果表明:填砾抽灌同井地下水渗流方程的解析解与数值解之间的平均误差为2.0%;填砾抽灌同井地下水渗流方程可以解决填砾抽灌同井影响下的稳态、无越流承压含水层的地下水流动问题,并为实际工程应用提供理论基础。The single well cycling ground heat exchange system(SWCGHEs)includes three forms:standing column well(SCW),pumping and recharging well(PRW)and forced external circulation standing column well(FECSCW).Due to different structures of the above three thermal wells,the mathematical models of groundwater seepage are numerous and complex,which are not convenient for practical engineering application;unified theoretical formula has not been induced currently.In order to solve the above problems,the skin effect is used to unify the permeability coefficients,and the transformation relations of the permeability coefficients at the wellbore of three thermal wells are obtained.Taking FECSCW as an example,this paper establishes the groundwater seepage equation and boundary conditions,deduces the drawdown equation,and obtains the drawdown equation of other thermal wells by using the permeability coefficient conversion relationship.The results show that:the average error between the analytic solution and the numerical solution of groundwater seepage equation in FECSCW is 2.0%;The groundwater seepage equation of FECSCW can be used to solve the groundwater flow in steady-state and no overflow confined aquifer under the influence of FECSCW,and provide a better application basis for practical engineering.

关 键 词：单井循环 表皮效应 渗透系数 解析解 数值解 

分 类 号：TK529[动力工程及工程热物理—热能工程]