多段压裂水平井试井模型求解新方法  

A new solution of well test model for multistage fractured horizontal wells

作　　者：王本成[1] 贾永禄[1] 李友全[2] 聂仁仕[1] 于伟杰[2] 蔡明金[3,4] 

机构地区：[1]西南石油大学油气藏地质及开发工程国家重点实验室,四川成都610500 [2]中国石油化工股份有限公司胜利油田分公司地质科学研究院,山东东营257015 [3]西南石油大学博士后流动站,四川成都610500 [4]中国石油塔里木油田公司博士后工作站,新疆库尔勒841000

出　　处：《石油学报》2013年第6期1150-1156,共7页Acta Petrolei Sinica

基　　金：国家重点基础研究发展计划(973)项目(2014CB239205);国家自然科学基金青年科学基金项目(No.51304164)资助

摘　　要：通过综合考虑多段压裂水平井试井数学模型中无限导流裂缝、裂缝呈不同倾角、裂缝间距不等、裂缝纵向上未完全穿透地层等多种情况,建立了多段压裂水平井不稳定渗流模型。并利用源函数理论、三维特征值法和正交变换等现代数学分析方法对模型进行求解,获得了该模型的压力精确解。通过Laplace变换和Stehfest数值反演得到了考虑井筒存储和表皮系数影响的多段压裂水平井井底压力解。绘制了典型的试井分析样版曲线,对各参数进行了敏感性分析,并进行了实例验证,可以看出该模型可以用于多段压裂水平井渗流特征研究及不稳定试井分析。A transient flow model for multistage fractured horizontal wells was established and it takes various cases into account, including infinite conductivity fractures, different inclined angles of fractures, unequal spacing of fractures, fractures vertically unpenetrating beds, etc. Furthermore, an accurate solution to the pressure of this model was obtained by means of modern mathematical methods including the source function theory, three-dimensional eigenvalue method and orthogonal transformation. Finally, taking influences of the wellbore storage and skin factor into consideration, a bottom-hole pressure solution for multi stage fractured horizontal wells by means of the Laplace transform and Stehfest numerical inversion was gained. Template curves of the typical well-testing analysis were plotted and the sensibility of various parameters to template curves was analyzed as well. The model can be applied effectively to studying seepage characteristics of multistage fractured horizontal wells and analyzing transient well testing.

关 键 词：水平井 多段压裂 试井 正交变换 样版曲线 

分 类 号：TE353[石油与天然气工程—油气田开发工程]