多段压裂水平井试井模型求解新方法

doi:10.7623/syxb201306015

石油学报 ›› 2013, Vol. 34 ›› Issue (6): 1150-1156.DOI: 10.7623/syxb201306015

多段压裂水平井试井模型求解新方法

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

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

收稿日期:2013-04-27 修回日期:2013-08-06 出版日期:2013-11-25 发布日期:2013-10-13
通讯作者: 王本成
作者简介:王本成，男，1986年3月生，2009年获西南石油大学学士学位，现为西南石油大学博士研究生，主要从事渗流理论与油气田开发工程研究。Email：wangbenc1@163.com
基金资助:
国家重点基础研究发展计划（973）项目（2014CB239205）和国家自然科学基金青年科学基金项目（No.51304164）资助。

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

WANG Bencheng¹, JIA Yonglu¹, LI Youquan², NIE Renshi¹, YU Weijie², CAI Mingjin^3,4

1. State Key Laboratory of Oil and Gas Reservoir Geology & Exploitation, Southwest Petroleum University, Chengdu 610500, China;
2. Research Institute of Geological Science, Sinopec Shengli Oilfield Company, Dongying 257015, China;
3. Postdoctoral Research Station, Southwest Petroleum University, Chengdu 610500, China;
4. Postdoctoral Workstation, PetroChina Tarim Oilfield Company, Korla 841000, China

Received:2013-04-27 Revised:2013-08-06 Online:2013-11-25 Published:2013-10-13

摘要/Abstract

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。

关键词: 水平井, 多段压裂, 试井, 正交变换, 样版曲线

Abstract:

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 multistage 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.

Key words: horizontal well, multistage fractured, well test, orthogonal transform, template curve

中图分类号:

TE353

王本成, 贾永禄, 李友全, 聂仁仕, 于伟杰, 蔡明金. 多段压裂水平井试井模型求解新方法[J]. 石油学报, 2013, 34(6): 1150-1156.

WANG Bencheng, JIA Yonglu, LI Youquan, NIE Renshi, YU Weijie, CAI Mingjin. A new solution of well test model for multistage fractured horizontal wells[J]. ACTA PETROLEI SINICA, 2013, 34(6): 1150-1156.

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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

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