基于Hoshen-Kopelman算法的三维多孔介质模型中黏土矿物的构建

doi:10.7623/syxb201608010

石油学报 ›› 2016, Vol. 37 ›› Issue (8): 1037-1046.DOI: 10.7623/syxb201608010

基于Hoshen-Kopelman算法的三维多孔介质模型中黏土矿物的构建

何延龙, 蒲春生, 景成, 谷潇雨, 刘洪志, 崔淑霞, 李晓, 宋俊强

中国石油大学石油工程学院山东青岛 266580

收稿日期:2016-01-13 修回日期:2016-06-01 出版日期:2016-08-25 发布日期:2016-09-02
通讯作者: 蒲春生,男,1959年3月生,1982年获西安交通大学计算数学专业学士学位,1992年获西南石油学院博士学位,现为中国石油大学(华东)教授、博士生导师,主要从事复杂油气藏物理-化学强化开采技术方面的研究。Email:chshpu@163.com
作者简介:何延龙,男,1987年3月生,2009年获兰州理工大学学士学位,现为中国石油大学(华东)油气田开发工程专业博士研究生,主要从事复杂油气藏物理-化学强化开采技术方面的研究。Email:stpnet@126.com
基金资助:
国家重大科技专项（2009ZX05009）和国家自然科学基金项目（No.51104173）资助。

Reconstruction of clay mineral in three-dimensional porous media model based on Hoshen-Kopelman algorithm

He Yanlong, Pu Chunsheng, Jing Cheng, Gu Xiaoyu, Liu Hongzhi, Cui Shuxia, Li Xiao, Song Junqiang

School of Petroleum Engineering, China University of Petroleum, Shandong Qingdao 266580, China

Received:2016-01-13 Revised:2016-06-01 Online:2016-08-25 Published:2016-09-02

摘要/Abstract

摘要：

疏松砂岩储层成岩过程简单，胶结疏松，对该类油藏的取心及获取孔隙结构与岩石组分信息较为困难，因此基于二维岩石信息的三维多孔介质重建方法对于该类储层的微观尺度模拟尤为适用，现有的重建技术虽然能较为准确地构建岩石骨架和孔隙结构，但无法对储层中的各类黏土矿物做详细的划分和构建。为准确构建含黏土三维多孔介质模型，基于真实储层二维信息，利用过程法构建多孔介质模型，并将其作为混合算法的输入模型构建了三维多孔介质模型，通过引入交换单位体像素点对其邻域不稳定性的贡献程度作为参数，可以提高混合算法的运算速度和准确性；重建模型与参考模型具有相似的统计学和拓扑学特征，以此为基础，结合真实储层中黏土矿物的分布及产状，通过Hoshen-Kopelman算法和黏土矿物基团的主要结构特征分类，构建了含黏土矿物分布的三维重建多孔介质；最后对重建模型中岩石矿物分布及结构特点进行了分析。结果表明，基于Hoshen-Kopelman算法的重建模型较好地反映了储层中主要黏土矿物的分布及产状，该算法为含黏土矿物疏松砂岩油藏的微观尺度储层模拟提供了新方法，基于该算法得到的三维多孔介质模型为模拟油气田开发过程中由于岩石矿物性质差异造成的储层伤害研究提供了新手段。

关键词: 疏松砂岩, 三维重建, 多孔介质, 混合算法, Hoshen-Kopelman算法

Abstract:

The diagenetic process of unconsolidated sandstone reservoir is simple with loose cementation, and it is difficult to obtain the core, porous structure and rock component information of such reservoirs. Therefore, the reconstruction method of three-dimensional porous media based on tow-dimensional rock information is particularly applicable for the micro-scale simulation of such reservoirs. The existing reconstruction technology is able to accurately construct rock matrix and pore structures, but unable to detailedly divide and construct various clay minerals in reservoirs. To accurately construct the three-dimensional clay-bearing porous media model containing clay mineral, based on the two-dimensional information of real reservoirs, the three-dimensional porous media is established by taking the porous media model constructed by process-based method as the input model of hybrid algorithm. The contribution degree parameter of exchange unit pixel points to its neighbor uncertainty is introduced to improve the arithmetic speed and accuracy of hybrid algorithm. The reconstructed model and reference model have similar statistical and topology characteristics. In combination with the distribution and occurrence of clay minerals in real reservoirs, the three-dimensional porous media with clay mineral distribution is reconstructed by using Hoshen-Kopelman algorithm and classifying the major structure characteristics of clay mineral cluster. Finally, the distribution and structure characteristics of rock clay minerals in reconstructed model are analyzed. The results indicate that the reconstructed model based on Hoshen-Kopelman algorithm is able to better reflect the distribution and occurrence of major clay minerals, providing a new method for microscopic simulation of the unconsolidated sandstone reservoirs with clay minerals. On this basis, the reconstructed three-dimensional porous media model can offer a new means for the simulation of formation damage caused by the differences in clay mineral properties during development processes.

Key words: unconsolidated sandstone, three-dimensional reconstruction, porous media, hybrid algorithm, Hoshen-Kopelman algorithm

中图分类号:

TE311

何延龙, 蒲春生, 景成, 谷潇雨, 刘洪志, 崔淑霞, 李晓, 宋俊强. 基于Hoshen-Kopelman算法的三维多孔介质模型中黏土矿物的构建[J]. 石油学报, 2016, 37(8): 1037-1046.

He Yanlong, Pu Chunsheng, Jing Cheng, Gu Xiaoyu, Liu Hongzhi, Cui Shuxia, Li Xiao, Song Junqiang. Reconstruction of clay mineral in three-dimensional porous media model based on Hoshen-Kopelman algorithm[J]. Acta Petrolei Sinica, 2016, 37(8): 1037-1046.

参考文献

[1] 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.
[2] Politis M G,Kikkinides E S,Kainourgiakis M E,et al.A hybrid process-based and stochastic reconstruction method of porous media[J].Microporous&Mesoporous Materials,2008,110(1):92-99.
[3] 刘学锋,孙建孟,王海涛,等.顺序指示模拟重建三维数字岩心的准确性评价[J].石油学报,2009,30(3):391-395.
Liu Xuefeng,Sun Jianmeng,Wang Haitao,et al.The accuracy evaluation on 3D digital cores reconstructed by sequence indicator simulation[J].Acta Petrolei Sinica,2009,30(3):391-395.
[4] 刘学锋,孙建孟,王海涛.基于数字岩心的岩石电性微观数值模拟[J].应用地球物理,2009,6(1):1-7.
Liu Xuefeng,Sun Jianmeng,Wang Haitao.Numerical simulation of rock electrical properties based on digital cores[J].Applied Geophysics,2009,6(1):1-7.
[5] Okabe H,Blunt M J.Pore space reconstruction using multiple-point statistics[J].Journal of Petroleum Science&Engineering,2005,46(1/2):121-137.
[6] Latief F D E,Biswal B,Fauzi U,et al.Continuum reconstruction of the pore scale microstructure for Fontainebleau sandstone[J].Physica A,2010,389(8):1607-1618.
[7] El Hannach M,Singh R,Djilali N,et al.Micro-porous layer stochastic reconstruction and transport parameter determination[J].Journal of Power Sources,2015,282:58-64.
[8] Yeong C L Y,Torquato S.Reconstructing random media.Ⅱ.Three-dimensional media from two-dimensional cuts[J].Physical Review E,1998,58(1):224-233.
[9] Zhao Xiucai,Yao Jun,Yi Yanjing.A new stochastic method of reconstructing porous media[J].Transport in Porous Media,2007,69(1):1-11.
[10] Gao Mingliang,He Xiaohai,Teng Qizhi,et al.Reconstruction of three-dimensional porous media from a single two-dimensional image using three-step sampling[J].Physical Review E,2015,91(1):013308.
[11] Kainourgiakis M E,Kikkinides E S,Steriotis T A,et al.Structural and transport properties of alumina porous membranes from process-based and statistical reconstruction techniques[J].Journal of Colloid and Interface Science,2000,231(1):158-167.
[12] 赵秀才.数字岩心及孔隙网络模型重构方法研究[D].青岛:中国石油大学,2009.
Zhao Xiucai.Numerical rock construction and pore network extraction[D].Qingdao:China University of Petroleum,2009.
[13] Pilotti M.Reconstruction of clastic porous media[J].Transport in Porous Media,2000,41(3):359-364.
[14] Øren P E,Bakke S.Process based reconstruction of sandstones and prediction of transport properties[J].Transport in Porous Media,2002,46(2/3):311-343.
[15] 赵秀才,姚军,陶军,等.基于模拟退火算法的数字岩心建模方法[J].高校应用数学学报:A辑,2007,22(2):127-133.
Zhao Xiucai,Yao Jun,Tao Jun,et al.A method of constructing digital core by simulated annealing algorithm[J].Applied Mathematics A Journal of Chinese Universities:Series A,2007,22(2):127-133.
[16] 刘学锋.基于数字岩心的岩石声电特性微观数值模拟研究[D].青岛:中国石油大学,2010.
Liu Xuefeng.Numerical simulation of elastic and electrical properties of rock based on digital cores[D].Qingdao:China University of Petroleum,2010.
[17] Diógenes A N,dos Santos L O E,Fernandes C P,et al.Porous media microstructure reconstruction using pixel-based and object-based simulated annealing-comparison with other reconstruction methods[J].Engenharia Térmica,2009,8:35-41.
[18] Gladkikh M,Bryant S.Prediction of imbibition in unconsolidated granular materials[J].Journal of Colloid and Interface Science,2005,288(2):526-539.
[19] 盛金昌,何光宇,周治荣,等.基于过程法构建二维数字岩心[J].河海大学学报:自然科学版,2011,39(5):494-498.
Sheng Jinchang,He Guangyu,Zhou Zhirong,et al.Reconstruction of 2D digital core based on process simulation method[J].Journal of Hohai University:Natural Sciences,2011,39(5):494-498.
[20] 何延龙,蒲春生,董巧玲,等.水力脉冲波协同多氢酸酸化解堵反应动力学模型[J].石油学报,2016,37(4):499-507.
He Yanlong,Pu Chunsheng,Dong Qiaoling,et al.Kinetic model of plug removal reaction based on a synergy between hydraulic pulse wave and muti-hydracid acidification[J].Acta Petrolei Sinica,2016,37(4):499-507.
[21] 姜彬,邱凌,刘向东,等.固相沉积模型在高凝油藏注水开发中的应用[J].石油学报,2015,36(1):101-105.
Jiang Bin,Qiu Ling,Liu Xiangdong,et al.Application of solid deposition model to water flooding simulation in high pour point oil reservoir[J].Acta Petrolei Sinica,2015,36(1):101-105.
[22] 刘学锋,张伟伟,孙建孟.三维数字岩心建模方法综述[J].地球物理学进展,2013,28(6):3066-3072.
Liu Xuefeng,Zhang Weiwei,Sun Jianmeng.Methods of constructing 3-D digital cores:a review[J].Progress in Geophysics,2013,28(6):3066-3072.
[23] 岑为.基于重构模型微孔介孔介质孔隙结构与扩散性能研究[D].北京:北京化工大学,2012.
Cen Wei.Characterization and diffusion in pore structure of micro/mesoporous media based on reconstructed model[D].Beijing:Beijing University of Chemical Technology,2012.
[24] Hoshen J,Kopelman R,Newhouse J S.Refined Monte Carlo simulations of static percolation[J].The Journal of Physical Chemistry,1987,91(1):219-222.
[25] Berry M W,Constantin J M,Vender Zanden B T.Parallelization of the Hoshen-Kopelman algorithm using a finite state machine[J].International Journal of High Performance Computing Applications,1997,11(1):34-48.
[26] Bodla K K,Garimlle S V,Murthy J Y.3D reconstruction and design of porous media from thin sections[J].International Journal of Heat&Mass Transfer,2014,73:250-264.
[27] 赵明,郁伯铭.数字岩心孔隙结构的分形表征及渗透率预测[J].重庆大学学报,2011,34(4):88-94.
Zhao Ming,Yu Boming.The fractal characterization of pore structure for some numerical rocks and prediction of permeabilities[J].Journal of Chongqing University,2011,34(4):88-94.
[28] 王金波.岩石孔隙结构三维重构及微细观渗流的数值模拟研究[D].北京:中国矿业大学,2014.
Wang Jinbo.3D reconstruction of porous rock and numerical simulations of fluid flow at mesoscale levels[D].Beijing:China University of Mining and Technology,2014.
[29] Coelho D,Thovert J F,Adler P M.Geometrical and transport properties of random packings of spheres and aspherical particles[J].Physical Review E,1997,55(2):1959-1978.
[30] Jin Guodong,Patzek T W,Silin D B.Direct prediction of the absolute permeability of unconsolidated and consolidated reservoir rock[R].SPE 90084,2004.
[31] 彭仕宓,尹旭,张继春,等.注水开发中黏土矿物及其岩石敏感性的演化模式[J].石油学报,2006,27(4):71-75.
Peng Shimi,Yin Xu,Zhang Jichun,et al.Evolutionary pattern of clay mineral and rock sensitivity in water-flooding reservoir[J].Acta Petrolei Sinica,2006,27(4):71-75.
[32] Hoshen J.On the application of the enhanced Hoshen-Kopelman algorithm for image analysis[J].Pattern Recognition Letters,1998,19(7):575-584.
[33] Hoshen J,Berry M W,Minser K S.Percolation and cluster structure parameters:the enhanced Hoshen-Kopelman algorithm[J].Physical Review E,1997,56(2):1455-1460.
[34] Hoshen J,Kopelman R.Percolation and cluster distribution.I.Cluster multiple labeling technique and critical concentration algorithm[J].Physical Review B,1976,14(8):3438-3445.

基于Hoshen-Kopelman算法的三维多孔介质模型中黏土矿物的构建

Reconstruction of clay mineral in three-dimensional porous media model based on Hoshen-Kopelman algorithm

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

本文评价

[1]	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.
[2]	邱正松, 高健, 赵欣, 耿麒, 刘书杰, 孙昊, 邢希金. 深水疏松砂岩储层微粒运移损害的控制方法[J]. 石油学报, 2022, 43(7): 1016-1025.
[3]	赵少伟, 马英文, 刘飞航, 李海涛, 张建丰. 基于线性强化弹塑性疏松砂岩破裂模式[J]. 石油学报, 2019, 40(S2): 131-140.
[4]	胡伟, 吕成远, 伦增珉, 王锐, 杨阳, 肖朴夫. 致密多孔介质中凝析气定容衰竭实验及相态特征[J]. 石油学报, 2019, 40(11): 1388-1395.
[5]	狄勤丰, 张景楠, 叶峰, 王文昌, 陈会娟, 华帅. 驱替过程中重力舌进特征的核磁共振可视化实验[J]. 石油学报, 2017, 38(10): 1183-1188.
[6]	毕永强, 俞理, 修建龙, 伊丽娜, 黄立信, 王天源. 采油微生物在多孔介质中的迁移滞留机制[J]. 石油学报, 2017, 38(1): 91-98.
[7]	王天源, 修建龙, 黄立信, 毕永强, 齐义彬, 从拯民, 俞理. 多孔介质微生物提高原油采收率模型[J]. 石油学报, 2016, 37(1): 97-105.
[8]	黄捍东, 向坤, 王彦超, 张生, 李冰姝, 杨亚迪, 李金奎. 匹配追踪法在碳酸盐岩流体检测中的应用——以哈萨克斯坦楚-萨雷苏盆地为例[J]. 石油学报, 2015, 36(S2): 184-193.
[9]	朱维耀, 夏小雪, 郭省学, 李娟, 宋智勇, 曲国辉. 高温高压条件下油藏内源微生物微观驱油机理[J]. 石油学报, 2014, 35(3): 528-535.
[10]	田子朋, 张斌, 崔海清, 张淑云. 黏弹性流体分形多孔介质渗流数学模型及计算方法[J]. 石油学报, 2014, 35(1): 118-122.
[11]	邓金根　李　萍　周建良　何保生　陈胜宏　王利华. 中国海上疏松砂岩适度出砂井防砂方式优选[J]. 石油学报, 2012, 33(4): 676-680.
[12]	吴克柳　李相方　石军太　李　骞　严必成. 水驱凝析气藏地层压力计算方法[J]. 石油学报, 2012, 33(2): 278-283.
[13]	曹宝格罗平亚. 缔合聚合物溶液在多孔介质中的流变性实验[J]. 石油学报, 2011, 32(4): 652-657.
[14]	刘向君梁利喜杨林曾祥林曹砚峰龙瀛刘洪. 分支井构型对疏松砂岩油藏临界生产压差的影响[J]. 石油学报, 2011, 32(4): 717-721.
[15]	雷登生杜志敏单高军李涧松朱炬辉陈建阳. 考虑变质量流水平井筒稠油携砂能力研究[J]. 石油学报, 2011, 32(1): 127-130.