Numerical well test analysis of tight gas reservoirs basedon the three parameter nonlinear seepage

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  • 1.Changqing Downhole Technology Company,Chuanqing Drilling Engineering Co.Ltd.,CNPC,Xi’an 710018,China;
    2.Postdoctoral Research Station,China University of Petroleum (Beijing),Beijing 102249,China;
    3.Key Laboratory for Mechanics in Fluid Solid Coupling Systems,Institute of Mechanics,Chinese Academy of Sciences,Beijing 100190,China

Received date: 2016-02-26

  Revised date: 2016-04-01

  Online published: 2019-09-09

Abstract

The well testing models in low permeability reservoir are normally realized by using pseudo-linear flow equation with the average start-up pressure gradient.However,the pseudo-linear flow equation can only reflect the characteristics of start-up pressure gradient in low permeability reservoir.It cannot describe the characteristic of nonlinear flow.The three-parameter nonlinear seepage flow equation not only reflects the characteristics of the starting pressure gradient,also describes the non-linear concave curve.In order to improve the interpretation accuracy of the well test data in tight gas reservoir and perfect the nonlinear well testing theory,this paper presents a nonlinear numerical well testing model based on the three-parameter nonlinear seepage flow equation.With the model,the wellbore pressure response curves and pressure fields were obtained by using finite difference method.The characteristics of pressure response curves and pressure fields were analyzed.Effects of minimum start-up pressure gradient and average start-up pressure gradient on pressure response curves and pressure fields were studied.The results proved that the pressure derivative curves in radial flow phase deviating from the 0.5 line.The upward amplitude of pressure drop curves depends on the average start-up pressure gradient;the upward amplitude of pressure buildup curves depends on the difference between the average start-up pressure gradient and the minimum start-up pressure gradient.Response time of the out boundary depends on the minimum starting pressure gradient.

Cite this article

Ouyang Wei-ping, Zhang Mian, Liu Yue-wu, Wan Yi-zhao, Yuan Dong-rui, Li Shan-shan . Numerical well test analysis of tight gas reservoirs basedon the three parameter nonlinear seepage[J]. Natural Gas Geoscience, 2016 , 27(11) : 2030 -2036 . DOI: 10.11764/j.issn.1672-1926.2016.11.2030

References

[1]Ge Jiali.Reservoir Seepage Mechanics[M].Beijing:Petroleum Industry Press,1982:29-31.[葛家理.油气层渗流力学[M].北京:石油工业出版社,1982:29-31.]
[2][KG*5/6]Zhu Weiyao,Song Hongqing,He Dongbo,et al.Low-velocity Non-Darcy gas seepage model and productivity equations of low-permeability water-bearing gas reservoirs[J].Natural Gas Geoscience,2008,19(5):685-689.[朱维耀,宋洪庆,何东博,等.含水低渗气藏低速非达西渗流数学模型及产能方程研究[J].天然气地球科学,2008,19(5):685-689.]
[3]Yan Qinglai,He Qiuxuan,Wei Ligang,et al.A laboratory study on percolation characteristics of single phase flow in low-permeability reservoirs[J].Journal of Xi’an Pertroleum Institute:Nature Science Edition,1990,5(2):1-6.[闫庆来,何秋轩,尉立岗,等.低渗透油层中单相液体渗流特征的实验研究[J].西安石油大学学报:自然科学版,1990,5(2):1-6.]
[4]Huang Yanzhang.Percolation Mechanism in Low Permeability Reservoir[M].Beijing:Petroleum Industry Press,1998.[黄延章.低渗透油层渗流机理[M].北京:石油工业出版社,1998.]
[5]Ren Xiaojuan,Yan Qinglai,He Qiuxuan,et al.The experimental study of characteristics of gas flow in tight formation[J].Journal of Xi’an Pertroleum Institute:Nature Science Edition,1997,12(3):22-25.[任晓娟,阎庆来,何秋轩,等.低渗气层气体的渗流特征实验研究[J].西安石油学院学报:自然科学版,1997,12(3):22-25.]
[6]He Wei,Feng Xi,Zhong Fuxun.Discussion on the special percolation mechanism of low permeability reservoir and theperformance characteristics of low permeability gas well[J].Natural Gas Industry,2002,22(supplement 1):91-94.[贺伟,冯曦,钟孚勋.低渗储层特殊渗流机理和低渗透气井动态特征探讨[J].天然气工业,2002,22(增刊1):91-94.]
[7]Yang Zhaopeng,Li Xingmin,Liu Shangqi,et al.Threshold pressure effect of low permeability tight gas reservoirs in Sulige Gasfield[J].Acta Petrolei Sinica,2015,36(3):347-354.[杨朝蓬,李星民,刘尚奇,等.苏里格低渗致密气藏阈压效应[J].石油学报,2015,36(3):347-354.]
[8]Huang Yanzhang.Nonlinear percolation feature in low permeability reservoir[J].Special Oil & Gas Reservoirs,1997,4(1):9-14.[黄延章.低渗透油层非线性渗流特征[J].特种油气藏,1997,4(1):9-14.]
[9]Deng Ying’er,Liu Ciqun.Mathematical model of nonlinear flow law in low permeability porous media and its application[J].Acta Petrolei Sinica,2001,22(4):72-77.[邓英尔,刘慈群.低渗油藏非线性渗流规律数学模型及其应用[J].石油学报,2001,22(4):72-77.]
[10]Huang Yanzhang,Yang Zhengming,He Ying,et al.Nonlinear porous flow in low permeability porous media[J].Mechanics in Engineering,2013,35(5):1-8.[黄延章,杨正明,何英,等.低渗透多孔介质中的非线性渗流理论[J].力学与实践,2013,35(5):1-8.]
[11]Cheng Shiqing,Li Yuegang.Numerical solution of well testing model for low-speed non-Darcy flow and its application[J].Natural Gas Industry,1996,16(3):27-30.[程时清,李跃刚.低速非达西渗流试井模型的数值解及其应用[J].天然气工业,1996,16(3):27-30.]
[12]Li Fanhua,Liu Ciqun.Pressure transient analysis for unsteady porous flow with start-up pressure derivative[J].Well Testing,1997,6(1):1-4.[李凡华,刘慈群.含启动压力梯度的不定常渗流的压力动态分析[J].油气井测试,1997,6(1):1-4.]
[13]Liu Yuewu,Ding Zhenhua,He Fengzhen.Three kinds of methods for determining the start-up pressure gradients in low permeability reservoir[J].Well Testing,2002,11(4):1-4.[刘曰武,丁振华,何凤珍.确定低渗透油藏启动压力梯度的三种方法[J].油气井测试,2002,11(4):1-4.]
[14]Liu Qiguo,Yang Xueming,Wei Hongmei,et al.Study of well-test model of low permeability’s dual-pore media with flowing boundary in oil and gas[J].Journal of Southwest Petroleum Institute,2004(5):30-33.[刘启国,杨旭明,魏红梅,等.动边界影响的低渗双重介质油气藏试井解释模型[J].西南石油学院学报,2004(5):30-33.]
[15]Guo Yongcun,Lu Detang,Zeng Qinghong,et al.Mathematical model of fluid flow in porous media related to start-up pressure gradients[J].Journal of University of Science and Technology of China,2005(4):492-498.[郭永存,卢德唐,曾清红,等.有启动压力梯度渗流的数学模型[J].中国科学技术大学学报,2005(4):492-498.]
[16]Zhang Xianmin,Tong Dengke.Nonlinear flow analysis of methane in low permeability coal seams[J].Engineering Mechanics,2010,27(10):219-223.[张先敏,同登科.低渗透煤层气非线性流动分析[J].工程力学,2010,27(10):219-223.]
[17]Wang Xiaodong,Hou Xiaochun,Hao Mingqiang,et al.Pressure transient analysis in low-permeable media with threshold gradients[J].Acta Petrolei Sinica,2011,32(5):847-851.[王晓冬,侯晓春,郝明强,等.低渗透介质有启动压力梯度的不稳态压力分析[J].石油学报,2011,32(5):847-851.]
[18]Yao Jun,Liu Shun.Well test interpretation model based on mutative permeability effects for low- permeability reservoir[J].Acta Petrolei Sinica,2009,30(3):430-433.[姚军,刘顺.基于动态渗透率效应的低渗透油藏试井解释模型[J].石油学报,2009,30(3):430-433.]
[19]Jiang Ruizhong,Li Linkai,Xu Jianchun,et al.A nonlinear mathematical model for low-permeability reservoirs and well-testing analysis[J].Acta Petrolei Sinica,2012,33(2):264-268.[姜瑞忠,李林凯,徐建春,等.低渗透油藏非线性渗流新模型及试井分析[J].石油学报,2012,33(2):264-268.]
[20]Zheng Likun.Establishment of trinomial productivity equation for non-Darcy effect low permeability gas reservoirs[J].Natural Gas Geoscience,2013,24(1):146-149.[郑丽坤.低渗透气藏非达西渗流三项式产能方程的建立[J].天然气地球科学,2013,24(1):146-149.]
[21]Pascal H.Nonsteady flow through porous media in the presence of a threshold gradient[J].Acta Mechanica,1981,39(3/4):207-224.
[22]Liu Ciqun.The approximate solution of solidify with threshold ratio decline[J].Journal of Geotechnical Engineering,1982,4(3):107-109.[刘慈群.有起始比降固结问题的近似解[J].岩土工程学报,1982,4(3):107-109.]

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