考虑温度变化的地下水运动方程及其在储能模型中的应用  

Flow Equation with Temperature Variation and Its Application in the Aquifer Thermal Energy Storage Model

作　　者：张勇[1] 薛禹群[1] 谢春红[1] 吴吉春[1] 张志辉[1] 

机构地区：[1]南京大学地球科学系,数学系,210093

出　　处：《地质论评》1999年第2期209-217,共9页Geological Review

基　　金：国家自然科学基金(编号494472159;49772161)

摘　　要：从建立一般条件下的多孔介质液相动量守恒方程出发,较严密地推导了考虑温度变化的地下水运动方程,并在此基础上提出了一个新的含水层储能模型。该模型用于上海第二承压含水层群井储能试验,取得了令人满意的结果,从而证明高温差条件下对地下水运动方程进行修正是必要的,具有重要的理论和现实意义。The existence of high-temperature gradients in an aquifer affects the flow of groundwater , in which the ordinary Darcy's Law cannot be used. During the movement of groundwater with high temperature, there are not only natural convection caused by the vertical variation of temperature, but also the trend of homogenization because of the temperature gradient. So there is apparent difference in the characteristics of flow of groundwater with different temperatures. In this paper, a motion equation is presented according to a simplified model of porous media, in which the variation of temperature is considered. The equation has the form:Where v1 is the permeability, P is the pressure of fluids, x, is the Descartes coordinate, pf is the density of the fluids, g is the acceleration of gravity, ej is the jth component of the unit vector in the gravity direction, Dfif is the coefficient related to the thermal flow of the fluids, T is the temperature, Bfif = Kij/μ, Kij is the tensor of the media permeability and μ is the dynamic viscosity coefficient. Then the flow equation and thermal transfer equation are deduced, in which the high-temperature gradient and the nonlinear change of density and viscosity are considered. These equations are coupled into one complete three-dimensional numerical model of aquifer thermal energy storage (ATES) model. The model can be applied to simulate a multi-well ATES experiment , which has been performed in the second confined aquifer in Shanghai. The results are compared with those of the ordinary model, especially in respect to the difference of the movement and distribution of heat in an aquifer. The results show that the corrected Darcy' s law is reliable and valuable , and can be used in many aspects in groundwater environmental problems.

关 键 词：高温差条件 地下水运动方程 含水层 储能模型 

分 类 号：P642.2[天文地球—工程地质学] P314.2[天文地球—地质矿产勘探]