水 气二相渗流耦合模型全隐式联立求解

Fully-implicit simultaneous solution of coupling model of two phase flow of water and gas

  • 摘要: 系统论述了水、气二相渗流耦合模型全隐式联立求解的方法与原理。该方法是将水相运动方程和气相运动方程左端的达西系数项,井点的气、水产量项作隐式处理,并将气相和水相方程联立起来进行求解,同时隐式求出压力和饱和度值。因此,收敛速度快,且无条件稳定。该方法应用于沁水盆地3#煤层气井气、水产量的预测,效果良好。

     

    Abstract: The method and principle of the fully-implicit simultaneous solution of the two phase flow of water and gas are discussed systematically in this paper.This method deals with the Darcy coefficient and the producing quantity of water and gas in the equations of water and gas phase flow,solves the equations of water and gas phase simultaneously,and works out the values of pressure and saturation implicitly at the same time,for this reason,the convergence speed of the solution is fast,and the solution is stable positively.This method is applied to the prediction of production potentiality of gas and water of 3# coal bed methane well in Qinshui basin,the result is good.

     

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