Influence mechanism of pore-scale anisotropy and pore distribution heterogeneity on permeability of porous media

  • Tao LI ,
  • Min LI ,
  • Xueqi JING ,
  • Wenlian XIAO ,
  • Qingwu CUI
Expand
  • 1. State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, Chengdu 610500, China
    2. Sinopec Star Beijing New Energy Development Co., Ltd. Sichuan Branch, Chengdu 610500, China
    3. No.1 Drilling Company of Sinopec Zhongyuan Petroleum Engineering Co., Ltd., Puyang 457000, China

Received date: 2018-08-13

  Revised date: 2018-11-05

  Online published: 2019-07-03

Supported by

Supported by National Natural Science Foundation of China(U1562217);National Basic Research Program of China.(2015CB250900)

Abstract

Based on micro-CT scanning experiments, three-dimensional digital cores of tight sandstones were established to quantitatively evaluate pore-scale anisotropy and pore-distribution heterogeneity. The quartet structure generation set method was used to generate three-dimensional anisotropic, heterogeneous porous media models. A multi-relaxation-time lattice Boltzmann model was applied to analyze relationships of permeability with pore-scale anisotropy and pore distribution heterogeneity, and the microscopic influence mechanism was also investigated. The tight sandstones are of complex pore morphology, strong anisotropy and pore distribution heterogeneity, while anisotropy factor has obvious directivity. The obvious anisotropy influences the orientation of long axis of pores and fluid flow path, making tortuosity smaller and flowing energy loss less in the direction with the greater anisotropy factor. The strong correlation of tortuosity and anisotropy is the inherent reason of anisotropy acting on permeability. The influence of pore distribution heterogeneity on permeability is the combined effects of specific surface area and tortuosity, while the product of specific surface area and tortuosity shows significantly negative correlation with heterogeneity. The stronger the pore distribution heterogeneity, the smaller the product and the greater the permeability. In addition, the permeability and tortuosity of complex porous media satisfy a power relation with a high fitting precision, which can be applied for approximate estimation of core permeability.

Cite this article

Tao LI , Min LI , Xueqi JING , Wenlian XIAO , Qingwu CUI . Influence mechanism of pore-scale anisotropy and pore distribution heterogeneity on permeability of porous media[J]. Petroleum Exploration and Development, 2019 , 46(3) : 594 -604 . DOI: 10.1016/S1876-3804(19)60039-X

References

[1] YANG P, WEN Z, DOU R , et al. Permeability in multi-sized structures of random packed porous media using three-dimensional lattice Boltzmann method. International Journal of Heat & Mass Transfer, 2017,106:1368-1375.
[2] AHMADI M M, MOHAMMADI S, HAYATI A N . Analytical derivation of tortuosity and permeability of monosized spheres: A volume averaging approach . Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, 2011,83(2):026312.
[3] ZHENG Bin, LI Juhua . A new fractal permeability model for porous media based on Kozeny-Carman equation. Natural Gas Geoscience, 2015,26(1):193-198.
[4] KOZENY J . Ueber kapillare leitung des wassers im Boden, Sitzungsber . Sitzungsber Akad. Wiss.,Wien, 1927,136(2):271-306.
[5] CARMAN P C . Fluid flow through granular beds. Chemical Engineering Research & Design, 1937,75(1):32-48.
[6] ERGUN S . Fluid flow through packed columns. Chem. Eng. Prog., 1952,48(2):89-94.
[7] MCGREGOR R . The effect of rate of flow on rate of dyeing Ⅱ: The mechanism of fluid flow through textiles and its significance in dyeing. Coloration Technology, 1965,81(10):429-438.
[8] RUMPF H, GUPTE A R . Influence of porosity and particle size distribution in resistance of porous flow. Chemie Ingenieur Technik, 1971,43:33-34.
[9] PAPE H, CLAUSER C, IFFLAND J . Variation of permeability with porosity in sandstone diagenesis interpreted with a fractal pore space model. Pure & Applied Geophysics, 2000,157(4):603-619.
[10] RODRIGUEZ E, GIACOMELLI F, VAZQUEZ A . Permeability- porosity relationship in RTM for different fiberglass and natural reinforcements. Journal of Composite Materials, 2004,38(3):259-268.
[11] LEE S L, YANG J H . Modeling of Darcy-Forchheimer drag for fluid flow across a bank of circular cylinders. International Journal of Heat & Mass Transfer, 1997,40(13):3149-3155.
[12] KOPONEN A, KATAJA M, TIMONEN J . Permeability and effective porosity of porous media. Phys. Rev.E, 1997,56(3):3319-3325.
[13] WAN D, BEETSTRA R, KUIPERS J A M . Lattice-Boltzmann simulations of low-Reynolds-number flow past mono- and bidisperse arrays of spheres: Results for the permeability and drag force. Journal of Fluid Mechanics, 2005,528:233-254.
[14] JEONG N . Advanced study about the permeability for micro-porous structures using the Lattice Boltzmann method. Transport in Porous Media, 2010,83(2):271-288.
[15] ZHANG Hengrong, HE Shenglin, WU Jinbo , et al. A new method for predicting permeability based on modified Kozeny-Carmen equation. Journal of Jilin University (Earth Science Edition), 2017,47(3):899-906.
[16] ZOU Caineng, ZHU Rukai, WU Songtao , et al. Types, characteristics, genesis and prospects of conventional and unconventional hydrocarbon accumulations: Taking tight oil and tight gas in China as an instance. Acta Petrolei Sinica, 2012,33(2):173-186.
[17] LIU Hanlin, YANG Youyun, WANG Fengqin , et al. Micro pore and throat characteristics and origin of tight sandstone reservoirs: A case study of the Triassic Chang 6 and Chang 8 members in Longdong area, Ordos Basin, NW China. Petroleum Exploration and Development, 2018,45(2):223-234.
[18] WU H, JI Y, LIU R , et al. Insight into the pore structure of tight gas sandstones: A case study in the Ordos Basin, NW China. Energy & Fuels, 2017,31(12):13159-13178.
[19] MA Yongsheng, CAI Xunyu, ZHAO Peirong . China’s shale gas exploration and development: Understanding and practice. Petroleum Exploration and Development, 2018,45(4):561-574.
[20] CHEN Keluo, ZHANG Tingshan, CHEN Xiaohui , et al. Model construction of micro-pores in shale: A case study of Silurian Longmaxi Formation shale in Dianqianbei area, SW China. Petroleum Exploration and Development, 2018,45(3):396-405.
[21] WANG Moran, WANG Ziyan . Multiscale simulation and analysis for gas flow in deep-seated micronano pore. Earth Science, 2018,43(5):1792-1816.
[22] BHANDARI A R, FLEMINGS P B, POLITO P J , et al. Anisotropy and stress dependence of permeability in the Barnett shale. Transport in Porous Media, 2015,108(2):393-411.
[23] TINNI A, FATHI E, AGARWAL R , et al. Shale permeability measurements on plugs and crushed samples. SPE 162235,2012.
[24] LAI J, WANG G, WANG Z , et al. A review on pore structure characterization in tight sandstones. Earth-Science Reviews, 2018,177:436-457.
[25] SUN Liang, WANG Xiaoqi, JIN Xu , et al. Three dimensional characterization and quantitative connectivity analysis of micro/nano pore space. Petroleum Exploration and Development, 2016,43(3):490-498.
[26] WANG Z Y, JIN X, WANG X Q , et al. Pore-scale geometry effects on gas permeability in shale. Journal of Natural Gas Science and Engineering, 2016,34:948-957.
[27] VALDES-PARADA F J, OCHOA-TAPIA J A, ALVAREZ- RAMIREZ J . Validity of the permeability Carman-Kozeny equation: A volume averaging approach. Physica A: Statistical Mechanics & its Applications, 2009,388(6):789-798.
[28] GU X, COLE D R, ROTHER G , et al. Pores in Marcellus shale: A neutron scattering and FIB-SEM study. Energy & Fuels, 2015,29(3):1295-1308.
[29] WANG M, LI Z . An Enskog based Monte Carlo method for high Knudsen number non-ideal gas flows. Computers & Fluids, 2007,36(8):1291-1297.
[30] WANG J J, CHEN L, KANG Q J , et al. The lattice Boltzmann method for isothermal micro-gaseous flow and its application in shale gas flow: A review. International Journal of Heat & Mass Transfer, 2016,95:94-108.
[31] KHABBAZI A E, HINEBAUGH J, BAZYLAK A . Determining the impact of rectangular grain aspect ratio on tortuosity- porosity correlations of two-dimensional stochastically generated porous media. Science Bulletin, 2016,61(8):601-611.
[32] WANG J J, KANG Q J, WANG Y Z , et al. Simulation of gas flow in micro-porous media with the regularized lattice Boltzmann method. Fuel, 2017,205:232-246.
[33] D’HUMIERèS D . Multiple-relaxation-time lattice Boltzmann models in three dimensions. Philos. Trans. A Math. Phys. Eng. Sci., 2002,360(1792):437-451.
[34] PAN C X, LUO L S, MILLER C T . An evaluation of lattice Boltzmann schemes for porous medium flow simulation. Computers & Fluids, 2006,35(8):898-909.
[35] ESHGHINEJADFARD A, DAROCZY L, JANIGA G , et al. Calculation of the permeability in porous media using the lattice Boltzmann method. International Journal of Heat & Fluid Flow, 2016,62:93-103.
[36] SANGANI A S, ACRIVOS A . Slow flow through a periodic array of spheres. International Journal of Multiphase Flow, 1982,8(4):343-360.
[37] SUN Hai, YAO Jun, ZHANG Lei , et al. A computing method of shale permeability based on pore structures. Journal of China University of Petroleum (Edition of Natural Science), 2014,38(2):92-98.
[38] TAO S, GUO Z . Gas-solid drag coefficient for ordered arrays of monodisperse microspheres in slip flow regime. Chemical Engineering & Technology, 2017,40(10):1758-1766.
[39] YIN Shuai, XIE Runcheng, DING Wenlong , et al. Influences of fractal characteristics of reservoir rocks on permeability. Lithologic Reservoirs, 2017,29(4):81-90.
Outlines

/