致密砂岩低流速下的达西流动

doi:10.7657/XJPG20200315

摘要/Abstract

摘要：

达西定律是描述储集层中流体流动特征的经典定律,但低速非达西流动现象及理论对达西定律在低流速下的适用性提出了质疑。吉木萨尔凹陷典型致密砂岩的孔隙形状多样,分布不均,呈现极细喉—中大孔组合方式。采用高效精准实验设备开展低速渗流实验,实验流体为矿化水和模拟油,采用高精度注射泵保证流体恒速流动。通过乘幂关系表征压力梯度—达西流速关系,对基于渗透率的阻力系数—雷诺数关系进行分析,来判断流体流动状态。结果表明,压力梯度—达西流速的乘幂关系和阻力系数—雷诺数关系的判断结果一致,在吉木萨尔凹陷致密砂岩储集层中,流体在低流速下均符合线性流动。此外,根据流量—压力梯度曲线分析,吉木萨尔凹陷致密砂岩储集层中单相流体在低流速下基本符合线性流动,且致密砂岩中单相流体的流动行为与岩石的性质有关,与流体类型无关。

关键词: 吉木萨尔凹陷, 致密砂岩, 储集层, 低速渗流, 达西定律, 线性流动, 雷诺数, 单相流体

Abstract:

Darcy’s law is a classic formula to describe fluid flow in reservoir rocks, but low-velocity non-Darcy flow phenomena and the related theories raise questions about the applicability of Darcy’s law at low flow rates. The pores in the typical tight cores from Jimsar sag are various and unevenly distributed, showing a extremely fine throat-medium-large pore combination pattern. Low velocity flow experiments are carried out with high precision instruments, mineralized water and simulated oil, and a high accuracy syringe pump is used to ensure the constant flow of fluids. The Darcy’s flow velocity-pressure gradient relationship is characterized by a power relationship, and the resistance coefficient-Reynolds number relationship based on permeability is analyzed to determine the fluid flow state. The experiment results show that the pressure gradient is exponentially related to Darcy velocity, which is consistent with the analysis result of the relationship between Reynolds number and resistance coefficient. In the cores obtained from the tight reservoir in Jimsar sag, the low-velocity flow is linear flow. In addition, according to the analysis on the flux-pressure gradient curve, the low-velocity flow of single phase fluid in the core of the Jimsar tight sandstone reservoir basically accords with linear flow, and the flow behavior of the single-phase fluid in the tight sandstone is related to the property of the rock rather than fluid type.

Key words: Jimsar sag, tight sandstone, reservoir, low-velocity flow, Darcy’s law;, linear flow, Reynolds number, single phase fluid

中图分类号:

TE348

袁银春, 李闽, 王颖, 李传亮, 魏铭江. 致密砂岩低流速下的达西流动[J]. 新疆石油地质, 2020, 41(3): 349-354.

YUAN Yinchun, LI Min, WANG Ying, LI Chuanliang, WEI Mingjiang. Study on Darcy Flow at Low Velocity in Tight Sandstone Reservoirs[J]. Xinjiang Petroleum Geology, 2020, 41(3): 349-354.

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参考文献 23

[1]	郭楚文 . 工程流体力学[M]. 江苏徐州: 中国矿业大学出版社, 2017.
	GUO Chuwen. Mechanics of engineering fluids[M]. Xuzhou, Jiangsu:China University of Mining and Technology Press, 2017.
[2]	IFIYENIA K, JIANG Y X . Flow through porous media of packed spheres saturated with water[J]. Journal of Fluids Engineering, 1994,116(3):164-170.
[3]	SIDDIQUI F, SOLIMAN M Y, HOUSE W , et al. Pre-Darcy flow revisited under experimental investigation[J]. Journal of Analytical Science and Technology, 2016,7(2):1-9.
[4]	任晓霞 . 致密储层微观孔隙结构对渗流规律的影响研究[D].山东青岛:中国石油大学( 华东), 2016.
	REN Xiaoxia . Study on the influence of tight reservoir micro pore structures on seepage rule[D].Qingdao,Shandong:China University of Petroleum( East China), 2016.
[5]	WANG X W, YANG Z M, SUN Y P , et al. Experimental and theoretical investigation of nonlinear flow in low permeability reservoir[J]. Procedia Environmental Sciences, 2011,11(Part C):1 392-1 399.
[6]	李佳琦, 陈蓓蓓, 孔明炜 , 等. 页岩油储集层数字岩心重构及微尺度下渗流特征:以吉木萨尔凹陷二叠系芦草沟组页岩油为例[J]. 新疆石油地质, 2019,40(3):319-327.
	LI Jiaqi, CHEN Beibei, KONG Mingwei , et al. Digital core reconstruction and research on microscale flow characteristics of shale oil reservoir:a case of the shale oil in Permian Lucaogou formation,Jimsar sag[J]. Xinjiang Petroleum Geology, 2019,40(3):319-327.
[7]	QI Cheng . Electroosmotic flow of non-newtonian fluid in microchannels[D]. Hong Kong:The University of Hong Kong, 2016.
[8]	FIRDAOUSS M, GUEROND J, LE QUERE P , et al. Nonlinear corrections to Darcy’s law at low Reynolds numbers[J]. Journal of Fluid Mechanics, 1997,343:331-350.
[9]	王子强, 李春涛, 张代燕 , 等. 吉木萨尔凹陷页岩油储集层渗流机理[J]. 新疆石油地质, 2019,40(6):695-700.
	WANG Ziqiang, LI Chuntao, ZHANG Daiyan , et al. Flow mechanism of shale oil reservoir in Jimsar sag[J]. Xinjiang Petroleum Geology, 2019,40(6):695-700.
[10]	BAĞCı Ö, DUKHAN N, ÖZDEMIR M . Flow regimes in packed beds of spheres from pre-Darcy to turbulent[J]. Transport in Porous Media, 2014,104(3):501-520.
[11]	KUNDU P, KUMAR V, MISHRA I M . Experimental and numerical investigation of fluid flow hydrodynamics in porous media:characterization of pre-Darcy,Darcy and non-Darcy flow regimes[J]. Powder Technology, 2016,303:278-291.
[12]	FARMANI Z, AZIN R, FATEHIB R , et al. Analysis of pre-Darcy flow for different liquids and gases[J]. Journal of Petroleum Science and Engineering, 2018,168:17-31.
[13]	薛芸, 石京平, 贺承祖 . 低速非达西流动机理分析[J]. 石油勘探与开发, 2001,28(5):102-104.
	XUE Yun, SHI Jingping, HE Chengzu . Mechanism analysis of low velocity non-Darcy flow[J]. Petroleum Exploration and Development, 2001,28(5):102-104.
[14]	SONI J P, ISLAM N, BASAK P . An experimental evaluation of non-Darcian flow in porous media[J]. Journal of Hydrology, 1978,38(3/4):231-241.
[15]	OLSEN H W . Darcy’s law in saturated kaolinite[J]. Water Resources Research, 1966,2(2):287-295.
[16]	SWARTZENDRUBER D . Modification of Darcy’s law for the flow of water in soils[J]. Soil Science, 1962,93(1):22-29.
[17]	HANSBO S . Consolidation equation valid for both Darcian and non-Darcian flow[J]. Geotechnique, 2001,51(1):51-54.
[18]	NEUZIL C E . Groundwater flow in low-permeability environments[J]. Water Resource Research, 1986,22(8):1 163-1 195.
[19]	徐秋芸 . 低渗透储层非达西渗流机理及理论研究[D]. 长春:吉林大学, 2003.
	XU Qiuyun . Study on non-Darcy percolation mechanism and theory of low permeability reservoir[D]. Changchun:Jilin University, 2003.
[20]	邵雨, 杨勇强, 万敏 , 等. 吉木萨尔凹陷二叠系芦草沟组沉积特征及沉积相演化[J]. 新疆石油地质, 2015,36(6):635-641.
	SHAO Yu, YANG Yongqiang, WAN Min , et al. Sedimentary characteristic and facies evolution of Permian Lucaogou formation in Jimsar sag,Junggar basin[J]. Xinjiang Petroleum Geology, 2015,36(6):635-641.
[21]	XIAO L, YE M, XU Y X , et al. A simplified solution using Izbash’s equation for non-Darcian flow in a constant rate pumping test[J]. Ground Water, 2019,57(6):962-968.
[22]	刘建军, 刘先贵, 胡雅衽 . 低渗透岩石非线性渗流规律研究[J]. 岩石力学与工程学报, 2003,22(4):556-561.
	LIU Jianjun, LIU Xiangui, HU Yaren . Study on nonlinear seepage law of low permeability rocks[J]. Chinese Journal of Rock Mechanics and Engineering, 2003,22(4):556-561.
[23]	MASSEY B S, WARD-SMITH J . Mechanics of fluids[M]. New York:Van Nostrand Reinhold Company, 1979.