非饱和带水气二相渗流动力学模型

TWO-PHASE FLOW DYNAMIC MODEL OF WATER AND GAS IN UNSATURATED ZONE

  • 摘要: 非饱和带地下水运动实质上是一个水气二相渗流过程。本文以多相渗流理论为基础,从水气二相渗流的连续性方程和达西定律出发,推导了非饱和带水气二相渗流的耦合动力学模型,讨论了模型的IMPES和全隐式联立求解方法的原理和步骤,认为IMPES求解方法由于达西系数项的处理,饱和度的计算均采用显式,因此该解法具有稳定性差、精度低且要求计算时间步长小的局限性;而全隐式联立求解方法是联立求解气相、水相方程,同时求出压力和饱和度值,因此压力和饱和度值都是隐式求出,具有较高精度,且无条件稳定,应是今后模型求解的重点研究内容

     

    Abstract: The groundwater flow in unsaturated zone is a process of the two phase flow of water and gas.Based on the theory of multi phase flow,this paper deduces the two-phase flow dynamic model of the coupling of water and gas in unsaturated zone,and discusses the principle and move of the IMPES and the fully-implicit simultaneous solution method of the model.The paper thinks that because the Darcy's coefficient and the saturation are calculated explicitly,the stability of the IMPES solution method is weak,the precision is low,and it asks the time step of calculation is small;the fully implicit simultaneous solution method solves the equations of water and gas simultaneously and works out the values of the pressure and saturation implicitly at the same time,so it has high precision,is stable positively and is the important studying content of the model solution.

     

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