南京大学学报(自然科学版) ›› 2018, Vol. 54 ›› Issue (6): 1105–1113.doi: 10.13232/j.cnki.jnju.2018.06.006

• 环境工程地质学专栏 • 上一篇    下一篇

岩土介质孔隙结构参数灰色关联度分析

许 林,张 巍*,梁小龙,肖 瑞,曹剑秋   

  1. 南京大学地球科学与工程学院,南京,210023
  • 接受日期:2018-05-07 出版日期:2018-12-01 发布日期:2018-12-01
  • 通讯作者: 张 巍, wzhang@nju.edu.cn E-mail:wzhang@nju.edu.cn
  • 基金资助:
    国家自然科学基金重点项目(41230636),国家自然科学基金(40902076),苏州市科技计划(SYG201611)

The grey correlation degree analysis of pore structure parameters of geotechnical medium

Xu Lin,Zhang Wei*,Liang Xiaolong,Xiao Rui,Cao Jianqiu   

  1. School of Earth Sciences and Engineering,Nanjing University,Nanjing,210023,China
  • Accepted:2018-05-07 Online:2018-12-01 Published:2018-12-01
  • Contact: Zhang Wei, wzhang@nju.edu.cn E-mail:wzhang@nju.edu.cn

摘要: 细观孔隙结构是控制多孔介质渗透率的主要因素之一. 采用高分辨率工业显微CT,分别对砂雨法成样南京粉砂、振捣干法成样南京粉砂、鄂尔多斯油砂、自贡砂岩和砂雨法成样玻璃珠扫描成像. 三维重构后选取尺寸为300体素的表征单元体(Representative Element Volume,REV),基于最大球算法提取出REV的16种孔隙结构参数,并采用格子波尔兹曼方法计算出各REV渗透率. 采用灰色关联度方法,分析了平均配位数、平均孔径、最大/小孔径等16个细观孔隙结构参数对多孔介质渗透率影响的主、次关系及其权重. 结果表明,16种孔隙结构参数对渗透率的影响从大到小依次为:孔隙平均体积、孔隙最大体积、平均中值喉道、喉道平均半径、孔隙平均半径、喉道最大半径、平均喉道长度、孔隙最大半径、孔隙率、孔隙最小体积、孔喉平均配位数、孔隙截面积平均形状因子、喉道截面积平均形状因子、孔隙最小半径、孔喉比与喉道最小半径. 可为岩土介质细观尺度渗流分析提供参考.

关键词: 土介质, 孔隙结构, 灰色关联度, 表征单元体, 格子波尔兹曼方法, 配位数, 喉 道

Abstract: Pore structure in meso-scale is one of the main factors controlling the permeability of porous medium. In this paper,we use the high resolution industrial micro-CT to image four kind of specimen,Nanjing silty sand specimen fabricated by pluviation and vibrating-dry methods respectively,Erdos oil sand and Zigong sandstone. Meanwhile,a specimen of 1mm glass bead is used for comparison. We use representative element volume(REV)of 300 voxels for the three-dimensional reconstruction. 16 pore structure parameters of the REVs are extracted based on the Maximal-ball algorithm,and the permeability results of the REVs are calculated using Lattice Boltzeman method. Consequently,we use the grey correlation degree method to analyze 16 meso-scale pore structure parameters,such as average coordination number,average pore diameter,maximal pore diameter and minimal pore diameter,etc.,to obtain their primary and secondary relations and their weights. The results show that the influence degrees of the 16 pore-structure parameters,from large to small,are pore average volume,pore maximal volume,mid-value pore-throat,average diameter of pore-throat,pore average diameter,maximal diameter of pore-throat,average length of pore-throat,pore maximal diameter,porosity,pore minimal volume,average coordination of pore-throat,average shape factor of pore sectional area,average shape factor of pore-throat sectional area,pore minimal diameter,pore-throat ratio and minimal diameter of pore-throat. The paper can shed light on the seepage analysis of geotechnical medium in meso-scale.

Key words: geotechnical medium, pore structure, grey correlation degree, representative element volume, Lattice Boltzeman method, coordination number, pore-throat

中图分类号: 

  • TU411
[1] 李传亮,孔祥言,徐献芝等. 多孔介质的双重有效应力. 自然杂志,1999,21(5):288-292.(Li C L,Kong X Y,Xu X Z,et al. Double effective stresses of porous media. Chinese Journal of Nature,1999,21(5):288-292.)
[2] 陶高梁. 岩土多孔介质孔隙结构的分形研究及其应用. 博士学位论文. 武汉:武汉理工大学,2010.(Tao G L. Fractal approachon pore structure of rock and soil porous media and its applications. Ph. D. Dissertation. Wuhan:Wuhan University of Technology,2010.)
[3] Terzaghi K,Peck R B,Mesri G. Soil mechanics in engineering practice. The 3rd Edition. New York,John Wiley & Sons,1996,23-24.
[4] Mohanty K K. Porous media:Fluid transport and pore structure. Aiche Journal,1992,38(8):1303-1304.
[5] Chapuis R P. The 2000 R. M. Hardy Lecture:Fullscale hydraulic performance of soil-bentonite and compacted clay liners. Canadian Geotechnical Journal,2002,39(2):417- 439.
[6] 王瑞飞,沈平平,宋子齐等. 特低渗透砂岩油藏储层微观孔喉特征. 石油学报,2009,30(4):560-563,569.(Wang R F,Shen P P,Song Z Q,et al. Characteristics of micro-pore throat in ultra-low permeability sandstone reservoir. Acta Petrolei Sinica,2009,30(4):560-563,569.)
[7] 韦 青,李治平,白瑞婷等. 微观孔隙结构对致密砂岩渗吸影响的试验研究. 石油钻探技术,2016,44(05):109-116.(Wei Q,Li Z P,Bai R T,et al. An experimental study on the effect of microscopic pore structure on spontaneous imbibition in tight sandstones. Petroleum Drilling Techniques,2016,44(5):109-115. doi:10. -11911/syztjs. 201605019.)
[8] An S Y,Yao J,Yang Y F,et al. Influence of pore structure parameters on flow characteristics based on a digital rock and the pore network model. Journal of Natural Gas Science and Engineering,2016,31:156-163.
[9] 李中锋,何顺利. 低渗透储层非达西渗流机理探讨. 特种油气藏,2005,12(2):35-38,105.(Li Z F,He S L. Non-Darcy percolation mechanism in low permeability reservoir. Special Oil and Gas Reservoirs,2005,12(2):35-38,105.)
[10] 窦文超,刘洛夫,吴康军等. 基于压汞实验研究低渗储层孔隙结构及其对渗透率的影响——以鄂尔多斯盆地西南部三叠系延长组长7储层为例. 地质论评,2016,62(2):502-512.(Dou W C,Liu L F,Wu K J,et al. Pore structure characteristics and its effect on permeability by mercury injection measurement:An example from Triassic Chang-7 reservoir,Southwest Ordos Basin. Geological Review,2016,62(2):502-511.)
[11] 吴文祥,刘 洋. 聚合物驱后岩心孔隙结构变化特性研究. 油田化学,2002,19(3):253-256.(Wu W X,Liu Y. The changes of pore structure of polymer flooded sandstone reservoir cores. Oilfeld Chemistry,2002,19(3):253-256.)
[12] 高慧梅,姜汉桥,陈民锋. 储层孔隙结构对油水两相相对渗透率影响微观模拟研究. 西安石油大学学报(自然科学版),2007,22(2):56-59,65.(Gao H M,Jiang H Q,Chen M F. Simulation study on the effect of the microscopic parameters of reservoir pore structure onoil-waterrelative permeability. Journal of Xi’an Shiyou University(Natural Science Edition),2007,22(2):56-59,65.)
[13] 邓聚龙. 灰色系统理论教程. 武汉:华中理工大学出版社,1990,60.
[14] 周秀文. 灰色关联度的研究与应用. 硕士学位论文. 长春:吉林大学,2007.(Zhou X W,The study on the grey relational degree and its application. Master Dissertation. Changchun:Jilin Univer-sity,2007.)
  [15] Blunt M J,Bijieljic B,Dong H,et al. Pore-scale imaging and modeling. Advances in Water Resources,2013 51:197-216.
[16] 郭照立,郑楚光. 格子Boltzmann方法的原理及应用. 北京:科学出版社,2009,128.(Guo Z L,Zheng C G. Theory and applications of lattice Boltzmann method. Beijing:Science Press,2009,128.)
[17] 吕 锋. 灰色系统关联度之分辨系数的研究. 系统工程理论与实践,1997,17(6):50-55.(Lü F. Research on the identification coefficient of relational grade for grey system. Systems Engineering Theory & Practice,1997,17(6):49-54.)
[18] 范 凯,吴皓莹. 灰色系统关联度中一种新的分辨系数确定方法. 武汉理工大学学报,2002,24(7):86-88.(Fan K,Wu H Y. A new method on identifcation coefficient of relational grade for gray system. Journal of Wuhan University of Technology,2002,24(7):86-88.)
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