基于格子Boltzmann方法的页岩纳米多孔介质流体流动模拟

doi:10.7623/syxb202303011

石油学报 ›› 2023, Vol. 44 ›› Issue (3): 534-544.DOI: 10.7623/syxb202303011

基于格子Boltzmann方法的页岩纳米多孔介质流体流动模拟

王瀚¹, 苏玉亮¹, 王文东¹, 李冠群¹, 张琪²

1. 中国石油大学(华东)石油工程学院山东青岛 266580;
2. 中国地质大学(武汉)资源学院湖北武汉 430074

收稿日期:2021-10-02 修回日期:2022-08-11 出版日期:2023-03-25 发布日期:2023-04-06
通讯作者: 苏玉亮,男,1970年9月生,2005年获西安交通大学博士学位,现为中国石油大学(华东)教授,主要从事非常规油气渗流与开发研究。Email:suyuliang@upc.edu.cn
作者简介:王瀚,男,1993年3月生,2017年获中国石油大学(华东)学士学位,现为中国石油大学(华东)石油工程学院博士研究生,主要从事页岩油渗流理论、多相流动模拟研究。Email:wanghan.petro@gmail.com
基金资助:
国家自然科学基金项目(No.51804328,No.51974348,No.51904324)资助。

Simulation on liquid flow in shale nanoporous media based on lattice Boltzmann method

Wang Han¹, Su Yuliang¹, Wang Wendong¹, Li Guanqun¹, Zhang Qi²

1. School of Petroleum Engineering, China University of Petroleum, Shandong Qingdao 266580, China;
2. School of Earth Resources, China University of Geosciences, Hubei Wuhan 430074, China

Received:2021-10-02 Revised:2022-08-11 Online:2023-03-25 Published:2023-04-06

摘要/Abstract

摘要： 纳米多孔介质中受限流体流动机制对提高页岩油采收率、水净化等科学和工程应用至关重要。以理论方程和分子动力学模拟(MDS)结果为基础,基于格子Boltzmann方法(LBM),建立了局部表观黏度-LBM(LAV-LBM)孔隙尺度模拟模型来研究纳米多孔介质中流体流动机制,该模型通过局部表观黏度和密度分布将纳米尺度效应(滑移边界、非均质黏度/密度)代入LBM,使LBM模拟过程中无法准确表达的复杂滑移边界条件可以退化成简单易实现的无滑移边界。通过理论方程对比验证、分子模拟-LAV-LBM密度分布验证、理论方程-LAV-LBM速度分布验证结果表明,基于LAV-LBM模型可以有效模拟纳米多孔介质中流体流动规律。基于该模型,研究了纳米尺度效应、多孔介质尺寸、表面润湿性对表观渗透率和增强系数的影响规律。研究结果表明:当接触角约小于70°时,由于高/低近壁面相黏度、低/高滑移速度导致表观渗透率和增强系数减小;表观渗透率和增强系数随着接触角增大而增大,原因是边界滑移速度逐渐增大,近壁面水相黏度逐渐减小;非均质密度导致相同时间内,近壁面相流体体积流量与体相区域不同,非均质密度越强,对流动能力影响越大;孔径越大,纳米尺度效应越小,增强系数趋近于1。通过实际应用研究了如何通过分子模拟结果和LAV-LBM模型将单孔隙纳米尺度流动扩展到多孔介质纳米尺度流动,为MDS到LBM的尺度升级提供了研究思路和基础模型。

关键词: 纳米多孔介质, 页岩油, 格子Boltzmann方法, 局部表观黏度, 表观渗透率

Abstract: To clarify the flow mechanism of confined liquids in nanoporous media is crucial for the scientific and engineering applications such as enhanced shale oil recovery and water purification. In this study, based on molecular dynamic simulation (MDS)results, theoretical equation and the lattice Boltzmann method (LBM), a local apparent viscosity-LBM (LAV-LBM)pore-scale simulation model was established to study the flow mechanism of liquids in nanoporous media. The model can incorporate the nanoscale effects (slip boundary, and heterogeneous viscosity/density)into LBM through local apparent viscosity and density distribution, and thus the complex slip boundary that cannot be accurately expressed in LBM simulation process can degrade into a simple non-slip boundary easy to be implemented. Based on the results of theoretical equation comparison verification, molecular simulation-LAV-LBM density distribution verification, and theoretical equation-LAV-LBM velocity distribution verification, it is indicated that the LAV-LBM model can help effectively simulate the flow law of liquids in nanoporous media. Based on the LAV-LBM model, the paper explores the influence law of nanoscale effect, porous media size and surface wettability on the apparent permeability and enhancement factor. The results show that when the contact angle is smaller/greater than 70o, the large/small near-wall viscosity and small/large slip velocity result in a decrease/increase of apparent permeability and enhancement factor; the apparent permeability and enhancement factor is increased with the increase of contact angle, which is as a result of the increasing slip velocity and decreasing near-wall viscosity; due to the heterogeneous density, the volume flow rate of liquids in the near-wall phase area is different from that in the bulk phase area within the same time period; the stronger the heterogeneous density is, the greater the influence on the flow capacity is; the larger the pore size is, the smaller the nanoscale effect is, and the closer the enhancement factor approaches 1. Finally, based on practical application, the paper introduces the method for extending the single-pore nanoscale flow to the porous media nanoscale flow based on the results of molecular simulation and the LAV-LBM model, providing a new research idea and basic model for the scale upgrade from MDS to LBM.

Key words: nanoporous media, shale oil, lattice Boltzmann method, local apparent viscosity, apparent permeability

中图分类号:

TE312

王瀚, 苏玉亮, 王文东, 李冠群, 张琪. 基于格子Boltzmann方法的页岩纳米多孔介质流体流动模拟[J]. 石油学报, 2023, 44(3): 534-544.

Wang Han, Su Yuliang, Wang Wendong, Li Guanqun, Zhang Qi. Simulation on liquid flow in shale nanoporous media based on lattice Boltzmann method[J]. Acta Petrolei Sinica, 2023, 44(3): 534-544.

参考文献

[1] ZHANG Qi,SU Yuliang,WANG Wendong,et al.Apparent permeability for liquid transport in nanopores of shale reservoirs:coupling flow enhancement and near wall flow[J].International Journal of Heat and Mass Transfer,2017,115:224-234.
[2] ZENG Fanhui,ZHANG Qiang,GUO Jianchun,et al.Capillary imbibition of confined water in nanopores[J].Capillarity,2020,3(1):8-15.
[3] 苏玉亮,鲁明晶,李萌,等.页岩油藏多重孔隙介质耦合流动数值模拟[J].石油与天然气地质,2019,40(3):645-652.
SU Yuliang,LU Mingjing,LI Meng,et al.Numerical simulation of shale oil coupled flow in multi-pore media[J].Oil & Gas Geology,2019,40(3):645-652.
[4] DAS R,ALI E,ABD HAMID S B,et al.Carbon nanotube membranes for water purification:a bright future in water desalination[J].Desalination,2014,336:97-109.
[5] SHIN S,KIM A R,UM S.Computational prediction of nanoscale transport characteristics and catalyst utilization in fuel cell catalyst layers by the lattice Boltzmann method[J].Electrochimica Acta,2018,275:87-99.
[6] WU Keliu,CHEN Zhangxin,LI Jing,et al.Wettability effect on nanoconfined water flow[J].Proceedings of the National Academy of Sciences,2017,114(13):3358-3363.
[7] ZHAO Wen,JIA Chengzao,ZHANG Tao,et al.Effects of nanopore geometry on confined water flow:a view of lattice Boltzmann simulation[J].Chemical Engineering Science,2021,230:116183.
[8] 姚军,赵建林,张敏,等.基于格子Boltzmann方法的页岩气微观流动模拟[J].石油学报,2015,36(10):1280-1289.
YAO Jun,ZHAO Jianlin,ZHANG Min,et al.Microscale shale gas flow simulation based on Lattice Boltzmann method[J].Acta Petrolei Sinica,2015,36(10):1280-1289.
[9] ZHAO Jianlin,KANG Qinjun,YAO Jun,et al.Lattice Boltzmann simulation of liquid flow in nanoporous media[J].International Journal of Heat and Mass Transfer,2018,125:1131-1143.
[10] 苟启洋,徐尚,郝芳,等.纳米CT页岩孔隙结构表征方法-以 JY-1 井为例[J].石油学报,2018,39(11):1253-1261.
GOU Qiyang,XU Shang,HAO Fang,et al.Characterization method of shale pore structure based on Nano-CT:a case study of Well JY-1[J].Acta Petrolei Sinica,2018,39(11):1253-1261.
[11] SHENG Guanglong,ZHAO Hui,SU Yuliang,et al.An analytical model to couple gas storage and transport capacity in organic matter with noncircular pores[J].Fuel,2020,268:117288.
[12] ZOLFAGHARI A,DEHGHANPOUR H,XU Mingxiang.Water sorption behaviour of gas shales:II.Pore size distribution[J].International Journal of Coal Geology,2017,179:187-195.
[13] 金之钧,王冠平,刘光祥,等.中国陆相页岩油研究进展与关键科学问题[J].石油学报,2021,42(7):821-835.
JIN Zhijun,WANG Guanping,LIU Guangxiang,et al.Research progress and key scientific issues of continental shale oil in China[J].Acta Petrolei Sinica,2021,42(7):821-835.
[14] 任俊豪,任晓海,宋海强,等.基于分子模拟的纳米孔内甲烷吸附与扩散特征[J].石油学报,2020,41(11):1366-1375.
REN Junhao,REN Xiaohai,SONG Haiqiang,et al.Adsorption and diffusion characteristics of methane in nanopores based on molecular simulation[J].Acta Petrolei Sinica,2020,41(11):1366-1375.
[15] 党伟,张金川,聂海宽,等.页岩油微观赋存特征及其主控因素——以鄂尔多斯盆地延安地区延长组7段3亚段陆相页岩为例[J].石油学报,2022,43(4):507-523.
DANG Wei,ZHANG Jinchuan,NIE Haikuan,et al.Microscopic occurrence characteristics of shale oil and their main controlling factors:a case study of the 3rd Submember continental shale of Member 7 of Yanchang Formation in Yan'an area,Ordos Basin[J].Acta Petrolei Sinica,2022,43(4):507-523.
[16] 李俊乾,卢双舫,张鹏飞,等.页岩基质孔隙水定量表征及微观赋存机制[J].石油学报,2020,41(8):979-990.
LI Junqian,LU Shuangfang,ZHANG Pengfei,et al.Quantitative characterization and microscopic occurrence mechanism of pore water in shale matrix[J].Acta Petrolei Sinica,2020,41(8):979-990.
[17] ZHANG Tao,JAVADPOUR F,LI Xiangfang,et al.Mesoscopic method to study water flow in nanochannels with different wettability[J].Physical Review E,2020,102(1):013306.
[18] HUANG D M,SENDNER C,HORINEK D,et al.Water slippage versus contact angle:a quasiuniversal relationship[J].Physical Review Letters,2008,101(22):226101.
[19] WANG Sen,JAVADPOUR F,FENG Qihong.Molecular dynamics simulations of oil transport through inorganic nanopores in shale[J].Fuel,2016,171:74-86.
[20] ZHANG Tao,LI Xiangfang,SUN Zheng,et al.An analytical model for relative permeability in water-wet nanoporous media[J].Chemical Engineering Science,2017,174:1-12.
[21] WANG Han,SU Yuliang,WANG Wendong,et al.Relative permeability model of oil-water flow in nanoporous media considering multi-mechanisms[J].Journal of Petroleum Science and Engineering,2019,183:106361.
[22] WANG Sen,JAVADPOUR F,FENG Qihong.Fast mass transport of oil and supercritical carbon dioxide through organic nanopores in shale[J].Fuel,2016,181:741-758.
[23] KANNAM S K,DAIVIS P J,TODD B D.Modeling slip and flow enhancement of water in carbon nanotubes[J].MRS Bulletin,2017,42(4):283-288.
[24] MATTIA D,CALABRÒ F.Explaining high flow rate of water in carbon nanotubes via solid-liquid molecular interactions[J].Microfluidics and Nanofluidics,2012,13(1):125-130.
[25] CUI Jiangfeng,SANG Qian,LI Yajun,et al.Liquid permeability of organic nanopores in shale:calculation and analysis[J].Fuel,2017,202:426-434.
[26] SECCHI E,MARBACH S,NIGUÈS A,et al.Massive radius-dependent flow slippage in carbon nanotubes[J].Nature,2016,537(7619):210-213.
[27] RABBANI A,MOSTAGHIMI P,ARMSTRONG R T.Pore network extraction using geometrical domain decomposition[J].Advances in Water Resources,2019,123:70-83.
[28] XIE Chiyu,RAEINI A Q,WANG Yihang,et al.An improved pore-network model including viscous coupling effects using direct simulation by the lattice Boltzmann method[J].Advances in Water Resources,2017,100:26-34.
[29] YI Zhixing,LIN Mian,JIANG Wenbin,et al.Pore network extraction from pore space images of various porous media systems[J].Water Resources Research,2017,53(4):3424-3445.
[30] FENG Feng,AKKUTLU I Y.A simple molecular Kerogen pore-network model for transport simulation in condensed phase digital source-rock physics[J].Transport in Porous Media, 2019,126(2):295-315.
[31] 李正,寇建龙,姚军.干酪根和石英纳米孔隙内页岩油流动规律的分子动力学模拟[C]//2020油气田勘探与开发国际会议论文集.成都:西安石油大学,2020:20205766.
LI Zheng,KOU Jianlong,YAO Jun.Molecular dynamics simulation of shale oil flow mechanisms in kerogen and quartz nanopores[C]//International Field Exploration and Development Conference.Chengdu:Xi'an Shiyou University,2020:20205766.
[32] 汪勇,孙业恒,梁栋,等.基于数字岩心与格子Boltzmann方法的致密砂岩自发渗吸模拟研究[J].石油科学通报,2020,5(4):458-66.
WANG Yong,SUN Yeheng,LIANG Dong,et al.Spontaneous imbibition simulation of tight sandstone based on digital rock and lattice Boltzmann method[J].Petroleum Science Bulletin,2020,5(4):458-66.
[33] LIU Xuan,ZHU Yongfeng,GONG Bin,et al.From molecular dynamics to lattice Boltzmann:a new approach for pore-scale modeling of multi -phase flow[J].Petroleum Science,2015,12(2):282-292.
[34] YU Yuan,LIANG Dong,LIU Haihu.Lattice Boltzmann simulation of immiscible three-phase flows with contact-line dynamics[J].Physical Review E,2019,99(1):013308.
[35] 张磊,姚军,孙海,等.基于数字岩心技术的气体解析/扩散格子Boltzmann模拟[J].石油学报,2015,36(3):361-365.
ZHANG Lei,YAO Jun,SUN Hai,et al.Lattice Boltzmann simulation of gas desorption and diffusion based on digital core technology[J].Acta Petrolei Sinica,2015,36(3):361-365.
[36] WANG Kai,CHAI Zhenhua,HOU Guoxiang,et al.Slip boundary condition for lattice Boltzmann modeling of liquid flows[J].Computers & Fluids,2018,161:60-73.
[37] GUO Zhaoli,SHI Baochang,ZHENG Chuguang.Velocity inversion of micro cylindrical Couette flow:a lattice Boltzmann study[J].Computers & Mathematics with Applications,2011,61(12):3519-3527.
[38] TANG G H,TAO Wenquan,HE Y L.Lattice Boltzmann method for gaseous microflows using kinetic theory boundary conditions[J].Physics of Fluids,2005,17(5):058101.
[39] SZALMÁS L.Slip-flow boundary condition for straight walls in the lattice Boltzmann model[J].Physical Review E,2006,73(6):066710.
[40] 赵玉龙,刘香禺,张烈辉,等.基于格子Boltzmann方法的非常规天然气微尺度流动基础模型[J].石油勘探与开发,2021,48(1):156-165.
ZHAO Yulong,LIU Xiangyu,ZHANG Liehui,et al.A basic model of unconventional gas microscale flow based on the lattice Boltzmann method[J].Petroleum Exploration and Development,2021,48(1):156-165.
[41] WANG Han,SU Yuliang,WANG Wendong.Investigations on water imbibing into oil-saturated nanoporous media:coupling molecular interactions,the dynamic contact angle,and the entrance effect[J].Industrial & Engineering Chemistry Research,2021,60(4):1872-1883.
[42] THOMAS J A,MCGAUGHEY A J H.Reassessing fast water transport through carbon nanotubes[J].Nano Letters,2008,8(9):2788-2793.
[43] ZHANG Junfeng,KWOK D Y.Apparent slip over a solid-liquid interface with a no-slip boundary condition[J].Physical Review E,2004,70(5):056701.
[44] BENZI R,BIFERALE L,SBRAGAGLIA M,et al.Mesoscopic two-phase model for describing apparent slip in micro-channel flows[J]. Europhysics Letters,2006,74(4):651-657.
[45] WANG Wendong,WANG Han,SU Yuliang,et al.Simulation of liquid flow transport in nanoscale porous media using lattice Boltzmann method[J].Journal of the Taiwan Institute of Chemical Engineers,2021,121:128-138.
[46] WANG Han,SU Yuliang,QIAO Rui,et al.Investigate effects of microstructures on nanoconfined water flow behaviors from viscous dissipation perspectives[J].Transport in Porous Media,2021,140(3):815-836.
[47] ZHAO Jiale,SUN Mengdi,PAN Zhejun,et al.Effects of pore connectivity and water saturation on matrix permeability of deep gas shale[J].Advances in Geo-Energy Research,2022,6(1):54-68.

基于格子Boltzmann方法的页岩纳米多孔介质流体流动模拟

Simulation on liquid flow in shale nanoporous media based on lattice Boltzmann method

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