水平气井不稳定渗流数学模型的格林函数求解方法

On the Application of Green-function to the Mathematic Model of the Unsteady Flow in Horizontal Well

水平井技术作为提高单井产量的有效手段,能数倍增加储层泄气面积,而目前水平气井的渗流问题研究较少。在气体不稳定渗流基本微分方程的基础上,采用Green函数法,通过积分叠加原理获得在箱式边界条件下水平井不稳定渗流微分方程的拟压力解,为水平气井产能提供了理论依据。

The technique of horizontal well which can increase the drainage area several times has been an efficient way to improve the degree of gas reserve recovery. There is a little research on the unsteady seepage of horizontal gas well. In this paper, based on the differential equation of unsteady flow, Green-function solutions and the super-position principle have been used for closed layer, and the equation of unsteady pressure drawdown is obtained, which is useful for the research of deliverability equation of horizontal gas well.