CAJ | 학술논문

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。
해문건립료삼유공간하수평정간우시정불은정삼류모형，종합이용원함수이론、삼유특정치법、정교변환등현대수학분석방법대모형진행료구해，획득료실공간임의일점적압력정학해，최후편정회제료표준적수평정간우시정압력동태양판곡선，병대관찰정거리이급퇴첩방식진행료민감성분석。간우시정양판곡선주요분위선성류화경향류2개류동계단，관찰정위치월근，선성류출현득월조；차관찰정퇴첩방식불동，곡선형태야불동。해모형가이용작수평정삼류특정연구급수평정간우시정분석。
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.