三重介质压裂气藏椭圆流非稳态产能模型

doi:10.11764/j.issn.1672-1926.2018.12.014

天然气地球科学

三重介质压裂气藏椭圆流非稳态产能模型

姜瑞忠¹，张福蕾¹，郜益华²，崔永正¹，沈泽阳¹，原建伟¹

1.中国石油大学(华东)石油工程学院，山东青岛 266580；
2.中海油研究总院有限责任公司，北京 100028

收稿日期:2018-09-22 修回日期:2018-12-21 出版日期:2019-03-10
作者简介:姜瑞忠(1964-)，男，江苏溧江人，教授，博士,主要从事油气田开发研究和教学工作.E-mail：19870005@upc.edu.cn.
基金资助:
国家自然科学基金项目“致密储层体积压裂缝网扩展模拟研究”(编号：51574265);国家科技重大专项“厚层非均质气藏产能评价及预测技术”(编号:2016ZX05027004-004)联合资助.

Unsteady productivity model of elliptical flow in fracturing triple medium gas reservoir

Jiang Rui-zhong¹，Zhang Fu-lei¹，Gao Yi-hua²，Cui Yong-zheng¹，Shen Ze-yang¹，Yuan Jian-wei¹

1.School of Petroleum Engineering，China University of Petroleum(East China),Qingdao 266580,China; 2.CNOOC Research Institute Co. Ltd.,Beijing 100028,China

Received:2018-09-22 Revised:2018-12-21 Online:2019-03-10

摘要/Abstract

摘要： 天然气藏经水力压裂后产生藏改造体积(SRV)，SRV内的气藏性质与原始储层存在很大的差异，水力压裂每一阶段的SRV可简化为水力裂缝附近的一个椭圆形区域。由于三重介质气藏为各向异性储层，与经典的径向流模型相比，椭圆流模型对于三重介质气藏的优化开发至关重要。通过建立一个新的压裂井复合椭圆流模型来分析考虑SRV的三重介质气藏产能变化，模型内外椭圆区均为三重介质，高流动能力的内区用来表征SRV，基质和裂缝间的窜流视为非稳态。使用Mathieu函数、拉普拉斯变换和Stehfest数值反演算法等求解数学模型，之后绘制无因次典型曲线，并对模型进行验证。典型曲线的特征显示模型存在13个流动阶段，将基质与裂缝间非稳态与拟稳态窜流进行比较，并分析了井筒半径、SRV半径、流度比和储容比等相关敏感参数对产能的影响。

关键词: 椭圆流, 三重介质, 复合气藏, 非稳态产能, 储层改造体积, 压裂井

Abstract: The stimulated reservoir volume(SRV) is generated after hydraulic fracturing,and the gas reservoir properties in SRV are different from those in original formation.SRV can be simplified to an elliptical shape region around hydraulic fracture at each stage of hydraulic fracturing.Since the triple medium gas reservoir is an anisotropic formation,compared to classical radial flow model,the elliptical flow model is essential for the optimal development of triple medium gas reservoirs.A new composite elliptical flow model of fracturing wells is established to analyze the production performance of triple medium gas reservoirs considering SRV.The inner and outer elliptical regions of the model both are triple media,and the inner region with high flow capacity is used to characterize SRV.The cross flow between matrix and fractures is considered as unsteady flow.The elliptical flow model is solved using the Mathieu function,Laplacian variation and Stehfest numerical inversion algorithm.The dimensionless typical curves are plotted and the model is verified.According to the characteristics of type curves,there are thirteen flow regimes.The unsteady cross flow between matrix and fractures is compared with the pseudo-steady cross flow.The influences of relevant parameters on productivity are analyzed,such as wellbore radius,SRV radius,mobility ratio and storativity ratio.

Key words: Elliptical flow, Triple medium, Composite gas reservoir, Unsteady productivity, Stimulated reservoir volume, Fractured wells

中图分类号:

TE32

姜瑞忠, 张福蕾, 郜益华, 崔永正, 沈泽阳, 原建伟. 三重介质压裂气藏椭圆流非稳态产能模型[J]. 天然气地球科学, 2019, 30(3): 370–378.

Jiang Rui-zhong, Zhang Fu-lei, Gao Yi-hua, Cui Yong-zheng, Shen Ze-yang, Yuan Jian-wei. Unsteady productivity model of elliptical flow in fracturing triple medium gas reservoir[J]. Natural Gas Geoscience, 2019, 30(3): 370–378.

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