水平井干扰试井模型求解新方法

该文建立了三维空间下水平井干扰试井不稳定渗流模型,综合利用源函数理论、三维特征值法、正交变换等现代数学分析方法对模型进行了求解,获得了实空间任意一点的压力精确解,最后编程绘制了标准的水平井干扰试井压力动态样板曲线,并对观察井距离以及堆叠方式进行了敏感性分析。干扰试井样板曲线主要分为线性流和径向流2个流动阶段,观察井位置越近,线性流出现得越早;且观察井堆叠方式不同,曲线形态也不同。该模型可以用作水平井渗流特征研究及水平井干扰试井分析。

A new solution method to interference well testing model of horizontal wells

This paper establishes the transient seepage model of the interference testing of horizontal wells under the three dimensional space.The exact real solution of the pressure at any point in the space is obtained by means of a new proposed approach and utilizing the analysis methods of modern mathematics such as the source function theory,the three dimensional characteristic value method, and the orthogonal transformation.Finally,the type curves of the horizontal well interference testing are also calculated and the effects of the observation wells’distance and the stacking way on the type curves are analyzed.The interference test type curves are divided into two flow regimes———linear flow and radial flow.The closer the position of the observation wells is the sooner the linear flow occurs,and the stacking way of the observation wells is different,and the shape of the type curve is also different.The model is quite efficient used in the study of the porous flow regime characteristics and the analysis of the interference testing of horizontal well.