## 留言板

 引用本文: 于梦男. 缝洞型低渗透碳酸盐岩油藏压裂井试井分析[J]. 应用数学和力学, 2019, 40(10): 1147-1158.
YU Mengnan. Well-Test Analysis of Hydraulic Fractured Wells in Fracture-Vug Low-Permeability Carbonate Reservoirs[J]. Applied Mathematics and Mechanics, 2019, 40(10): 1147-1158. doi: 10.21656/1000-0887.390256
 Citation: YU Mengnan. Well-Test Analysis of Hydraulic Fractured Wells in Fracture-Vug Low-Permeability Carbonate Reservoirs[J]. Applied Mathematics and Mechanics, 2019, 40(10): 1147-1158.

• 中图分类号: TE312

## Well-Test Analysis of Hydraulic Fractured Wells in Fracture-Vug Low-Permeability Carbonate Reservoirs

• 摘要: 缝洞型碳酸盐岩在我国油气资源储量中占有重要地位，因此，研究缝洞型碳酸盐岩压裂井井底压力变化具有重要意义.基于渗流力学基本原理，建立考虑应力敏感和启动压力梯度影响的碳酸盐岩渗流微分方程，利用点源函数理论、Laplace积分变换和Fourier余弦积分变换等方法求得Laplace空间顶底封闭、侧向无限大外边界点源解，通过对点源积分得到面源解；通过Stehfest数值反演得到实空间井底压力解并绘制试井曲线.通过模型对比分析验证了模型的正确性.结果表明：应力敏感系数越大，压力和压力导数曲线上翘越明显；启动压力梯度越大，压力和压力导数曲线上翘时间越早；压裂井打开程度越小，压力导数球形流特征越明显；窜流系数越大，“凹子”出现的时间越早；弹性储容比越大，“凹子”越宽越深.利用该模型可以有效地对缝洞型低渗透碳酸盐岩油藏压裂井的动态曲线进行分析.
•  [1] 李阳, 侯加根, 李永强. 碳酸盐岩缝洞型储集体特征及分类分级地质建模[J]. 石油勘探与开发, 2016,43(4): 600-606.(LI Yang, HOU Jiagen, LI Yongqiang. Features and hierarchical modeling of carbonate fracture-cavity reservoirs[J].Petroleum Exploration and Development,2016,43(4): 600-606.(in Chinese)) [2] 张希明. 新疆塔河油田下奥陶统碳酸盐岩缝洞型油气藏特征[J]. 石油勘探与开发, 2001,28(5): 17-22.(ZHANG Ximing. The characteristics of lower ordovician fissure-vug carbonate oil and gas pools in Tahe oil field, Xinjiang[J].Petroleum Exploration and Development,2001,28(5): 17-22. (in Chinese)) [3] OZKAN E, RAGHAVAN R. New solutions for well-test-analysis problems, part 1: analytical considerations (includes associated papers 28666 and 29213)[J]. Society of Petroleum Engineers,1991,6(3): 359-368. [4] OZKAN E, RAGHAVAN R. New solutions for well-test-analysis problems, part 2: computional considerations (includes associated papers 18615)[J]. Society of Petroleum Engineers,1991,6(3):369-378. [5] 王海涛, 张烈辉. 基于源函数法的油层部分射开顶底封闭各向异性的三重介质油藏不稳定渗流[J]. 大庆石油学院学报, 2008,32(3): 29-33.(WANG Haitao, ZHANG Liehui. Solution to the unsteady flow problem in anisotropic triple-porosity reservoir with impermeable top and bottom boundaries and a partially penetrating vertical well based on the source function approach[J]. Journal of Daqing Petroleum Institute,2008,32(3): 29-33.(in Chinese)) [6] 王海涛, 李成全, 张烈辉, 等. 三重介质油藏负表皮系数水平井瞬态压力的有效算法[J]. 中国石油大学学报(自然科学版), 2012,36(4): 112-117.(WANG Haitao, LI Chengquan, ZHANG Liehui, et al. An efficient calculation method of transient pressure responses of horizontal wells with negative skin factors in triple-porosity reservoirs[J]. Journal of China University of Petroleum(Edition of Natural Science),2012,36(4): 112-117.(in Chinese)) [7] 程时清, 张利军, 李相方. 三重介质分支水平井试井分析[J]. 水动力学研究与进展, 2009,24(2): 127-132.(CHENG Shiqing, ZHANG Lijun, LI Xiangfang. Well-test analysis of multi-branched horizontal wells in a triple medium reservoir[J]. Chinese Journal of Hydrodynamics,2009,24(2): 127-132.(in Chinese)) [8] 任俊杰, 郭平, 汪周华. 三重介质油藏斜井压力动态特征分析[J]. 水动力学研究与进展, 2012,27(1): 7-15.(REN Junjie, GUO Ping, WANG Zhouhua. Dynamical characteristic analysis of inclined well in triple medium reservoir[J]. Chinese Journal of Hydrodynamics,2012,27(1): 7-15.(in Chinese)) [9] PASCAL H. Nonsteady flow through porous media in the presence of a threshold gradient[J]. Acta Mechanica,1981,39(3/4): 207-224. [10] 罗二辉, 胡永乐. 三重介质低渗油藏非达西非稳态渗流研究[J]. 中国矿业大学学报, 2013,〖STHZ〗 42(1): 100-104.(LUO Erhui, HU Yongle. A study of non-Darcy transient flow in triple porosity media with low permeability reservoir[J]. Journal of China University of Mining & Technology,2013,42(1): 100-104.(in Chinese)) [11] 罗二辉, 胡永乐, 王磊, 等. 缝洞型低渗透碳酸盐岩油藏产量递减曲线分析[J]. 大庆石油学院学报, 2012,36(2): 86-90.(LUO Erhui, HU Yongle, WANG Lei, et al. Analysis of production decline curves in naturally vuggy and fractured carbonate reservoir with low permeability reservoir[J]. Journal of Daqing Petroleum Institute,2012,36(2): 86-90.(in Chinese)) [12] 曹丽娜, 李晓平, 罗诚, 等. 裂缝性低渗气藏水平井不稳定产量递减探讨[J]. 西南石油大学学报(自然科学版), 2017,39(3): 103-110.(CAO Lina, LI Xiaoping, LUO Cheng, et al. Investigation of unstable production decline in fractured low-permeability gas reservoir horizontal wells[J]. Journal of Southwest Petroleum University(Science & Technology Edition),2017,39(3): 103-110.(in Chinese)) [13] 孟凡坤, 雷群, 何东博, 等. 应力敏感性碳酸盐岩气藏斜井生产动态规律分析[J]. 东北石油大学学报, 2018,42(2): 95-102.(MENG Fankun, LEI Qun, HE Dongbo, et al. Production performance analysis for slanted wells in stress-sensitive carbonate gas reservoirs[J]. Journal of Northeast Petroleum University,2018,42(2): 95-102.(in Chinese)) [14] 付春权, 尹洪军, 刘宇, 等. 低速非达西渗流垂直裂缝井试井分析[J]. 大庆石油地质与开发, 2007,26(5): 53-56.(FU Chunqun, YIN Hongjun, LIU Yu, et al. Well testing analysis for vertical fracture well with low-velocity non-Darcy flow[J]. Petroleum Geology & Oilfield Development in Daqing,2007,26(5): 53-56.(in Chinese)) [15] 刘文超, 姚军. 三重介质油藏有限导流垂直裂缝井的流-固耦合模型[J]. 工程力学, 2013,30(3): 402-409.(LIU Wenchao, YAO Jun. The fluid-solid coupling model of finite conductivity vertically fractured well in the reservoir with triple porosity medium[J]. Engineering Mechanics,2013,30(3): 402-409.(in Chinese)) [16] 刘启国, 徐有杰, 刘义成, 等. 夹角断层多段压裂水平井试井求解新方法[J]. 应用数学和力学, 2018,39(5): 558-567.(LIU Qiguo, XU Youjie, LIU Yicheng, et al. A new well test analysis method for multi-stage fractured horizontal wells with angle faults[J]. Applied Mathematics and Mechanics,2017, 2018,39(5): 558-567.(in Chinese)) [17] 李顺初, 任丽, 郑鹏社, 等. 基于应力敏感的天然裂缝性页岩气藏双孔模型解的结构[J]. 应用数学和力学, 2017,38(2): 233-242.(LI Shunchu, REN Li, ZHENG Pengshe, et al. Similar structure of the solution to the dual-porosity model for naturally fractured shale gas reservoirs based on stress sensitivity[J]. Applied Mathematics and Mechanics,2017,38(2): 233-242.(in Chinese)) [18] RAGHAVAN R, CHIN L Y. Productivity changes in reservoirs with stress-dependent permeability[J]. SPE Reservoir Evaluation & Engineering,2002,7(4). DOI: 10.2118/77535-MS. [19] PEDROSA O A. Pressure transient response in stress-sensitive formations[C]// SPE California Regional Meeting.Oakland, California, 1986. [20] STEHFEST H. Numercial inversion of Laplace transforms[J]. Communication of the ACM,1970,13(1): 47-49.

##### 计量
• 文章访问数:  492
• HTML全文浏览量:  70
• PDF下载量:  295
• 被引次数: 0
##### 出版历程
• 收稿日期:  2018-09-27
• 修回日期:  2019-09-05
• 刊出日期:  2019-10-01

/

• 分享
• 用微信扫码二维码

分享至好友和朋友圈