基于多尺度均匀化理论的页岩强度表征

doi:10.7623/syxb201907010

石油学报 ›› 2019, Vol. 40 ›› Issue (7): 858-865.DOI: 10.7623/syxb201907010

基于多尺度均匀化理论的页岩强度表征

韩强^1,2, 屈展^1,2, 叶正寅³

1. 西安石油大学石油工程学院陕西西安 710065;
2. 陕西省油气井及储层渗流与岩石力学重点实验室陕西西安 710065;
3. 西北工业大学航空学院陕西西安 710072

收稿日期:2018-09-05 修回日期:2019-04-30 出版日期:2019-07-25 发布日期:2019-07-28
通讯作者: 韩强,男,1985年3月生,2008年获西安石油大学学士学位,2016年获西南石油大学博士学位,现为西安石油大学讲师,主要从事岩石力学与随钻测量的研究工作。Email:hqcampus@163.com
作者简介:韩强,男,1985年3月生,2008年获西安石油大学学士学位,2016年获西南石油大学博士学位,现为西安石油大学讲师,主要从事岩石力学与随钻测量的研究工作。Email:hqcampus@163.com
基金资助:
国家自然科学基金项目（No.51704233，No.51674200）和中国博士后科学基金项目（2017M613207）资助。

Shale strength characterization based on the multi-scale homogenization theory

Han Qiang^1,2, Qu Zhan^1,2, Ye Zhengyin³

1. College of Petroleum Engineering, Xi’an Shiyou University, Shaanxi Xi’an 710065, China;
2. Shaanxi Key Laboratory of Well Stability and Fluid & Rock Mechanics in Oil and Gas Reservoirs, Shaanxi Xi’an 710065, China;
3. School of Aeronautics, Northwest Polytechnical University, Shaanxi Xi’an 710072, China

Received:2018-09-05 Revised:2019-04-30 Online:2019-07-25 Published:2019-07-28

摘要/Abstract

摘要：

页岩强度是页岩油气开发所必需的基础技术参数，目前宏观室内实验和测井解释在制样、参数连续解释等方面存在困难。为实现页岩多尺度强度的有效评价，基于最大塑性耗散能原理，并结合微观多孔介质理论建立了页岩微/细观强度均匀化Π函数模型。根据页岩微观力学测试评价了纯黏土矿物的基本力学属性，开展了页岩微/细观力学测试的数值模拟，并通过量纲分析求解页岩微/细观硬度-强度模型。结果表明，微观尺度下的黏土堆积密度对强度参数影响显著，细观尺度下受非黏土夹杂相的影响，硬度和内聚系数的比值与摩擦系数正相关。开展了页岩细观力学实验，根据模型求解结果开展页岩宏观强度预测。以常规实验结果作为约定真值进行归一化比对分析的结果显示，页岩内摩擦角的归一化均值为1.12，内聚力的归一化均值为1.21。页岩强度表征新体系为有效解决页岩油气开发提供了依据。

关键词: 页岩, 多尺度, 强度均匀化, 数值模拟, 表征方法

Abstract:

Shale strength is a basic technical parameter required for shale oil and gas development. At present, macroscopic laboratory test and logging interpretation have problems with sample preparation and discontinuous interpretation of parameters. To effectively evaluate shale multi-scale strength, the micro/meso-strength homogenization Π function models of shale were established based on the principle of maximum plastic dissipation energy and the theory of microscopic porous media. The basic mechanical properties of pure clay minerals were evaluated by shale micromechanical test. Meanwhile, the numerical simulation of shale micro/meso-mechanical test was performed. Micro/meso scale hardness-strength model was solved by dimensional analysis. The results demonstrate that the clay packing density has a significant influence on strength at a micro scale. Under the influence of non-clay inclusions, the ratio of hardness and internal cohesion coefficient is positively correlated to friction coefficient at a meso scale. According to the shale meso-mechanical test, the prediction of shale macro strength parameters was performed based on model solutions. The normalized comparison analysis was conducted considering the common lab results as conventional true value. The results show that the normalized mean value of the friction angle is 1.12, and that of the cohesion is 1.21.The established system on shale strength characterization can provide basis for effectively solving oil and gas development.

Key words: shale, multi-scale, strength homogenization, numerical simulation, characterization method

中图分类号:

TE21

韩强, 屈展, 叶正寅. 基于多尺度均匀化理论的页岩强度表征[J]. 石油学报, 2019, 40(7): 858-865.

Han Qiang, Qu Zhan, Ye Zhengyin. Shale strength characterization based on the multi-scale homogenization theory[J]. Acta Petrolei Sinica, 2019, 40(7): 858-865.

参考文献

[1] MA Xinhua,XIE Jun. The progress and prospects of shale gas exploration and development in southern Sichuan Basin,SW China[J].Petroleum Exploration and Development,2018,45(1):172-182.
[2] 朱汉卿,贾爱林,位云生,等.蜀南地区富有机质页岩孔隙结构及超临界甲烷吸附能力[J].石油学报,2018,39(4):391-401.
ZHU Hanqing,JIA Ailin,WEI Yunsheng,et al.Pore structure and supercritical methane sorption capacity of organic-rich shales in southern Sichuan Basin[J].Acta Petrolei Sinica,2018,39(4):391-401.
[3] 王玉满,徐波,李新景,等.川东北地区下志留统龙马溪组上升洋流相页岩沉积特征[J].石油学报,2018,39(10):1092-1102.
WANG Yuman,XU Bo,LI Xinjing,et al.Sedimentary characteristics of upwelling facies shale in Lower Silurian Longmaxi Formation,northeast Sichuan area[J].
Acta Petrolei Sinica,2018,39(10):1092-1102.
[4] 郑哲敏.关于中国页岩气持续开发工程科学研究的一点认识[J].科学通报,2016,61(1):34-35.
ZHENG Zhemin.A little knowledge about the scientific research on the continuous development of shale gas in China[J].Chinese Science Bulletin,2016,61(1):34-35.
[5] 陈勉,葛洪魁,赵金洲,等.页岩油气高效开发的关键基础理论与挑战[J].石油钻探技术,2015,43(5):7-14.
CHEN Mian,GE Hongkui,ZHAO Jinzhou,et al.The key fundamentals for the efficient exploitation of shale oil and gas and its related challenges[J].Petroleum Drilling Techniques,2015,43(5):7-14.
[6] HENG Shuai,GUO Yingtong,YANG Chunhe,et al.Experimental and theoretical study of the anisotropic properties of shale[J].International Journal of Rock Mechanics and Mining Sciences,2015,74:58-68.
[7] 庄茁,柳占立,王涛,等.页岩水力压裂的关键力学问题[J].科学通报,2016,61(1):72-81.
ZHUANG Zhuo,LIU Zhanli,WANG Tao,et al.The key mechanical problems on hydraulic fracture in shale[J].Chinese Science Bulletin,2016,61(1):72-81.
[8] 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.
[9] 徐春露,孙建孟,董旭,等.页岩气储层孔隙压力测井预测新方法[J].石油学报,2017,38(6):666-676.
XU Chunlu,SUN Jianmeng,DONG Xu,et al.A new pore pressure logging prediction method in shale gas reservoirs[J].Acta Petrolei Sinica,2017,38(6):666-676.
[10] 姚光华,熊伟,胥云,等.预加压测试页岩含气量新方法[J].石油学报,2017,38(10):1189-1193.
YAO Guanghua,XIONG Wei,XU Yun,et al.A new method of pre-pressurized test on shale gas content[J].Acta Petrolei Sinica,2017,38(10):1189-1193.
[11] 罗荣,曾亚武,杜欣.非均质岩石材料宏细观力学参数的关系研究[J].岩土工程学报,2012,34(12):2331-2336.
LUO Rong,ZENG Yawu,DU Xin.Relationship between macroscopic and mesoscopic mechanical parameters of inhomogenous rock material[J].Chinese Journal of Geotechnical Engineering,2012,34(12):2331-2336.
[12] 韩强,屈展,叶正寅.页岩多尺度力学特性研究现状[J].应用力学学报,2018,35(3):564-570.
HAN Qiang,QU Zhan,YE Zhengyin.Research status of shale multi-scale mechanical properties[J].Chinese Journal of Applied Mechanics,2018,35(3):564-570.
[13] ULM F J,DELAFARGUE A,CONSTANTINIDES G.Experimental microporomechanics[M]//DORMIEUX L,ULM F J.Applied Micromechanics of Porous Materials.Vienna:Springer,2005:207-288.
[14] ULM F J,ABOUSLEIMAN Y.The nanogranular nature of shale[J].Acta Geotechnica,2006,1(2):77-88.
[15] ULM F J,VANDAMME M,BOBKO C,et al.Statistical indentation techniques for hydrated nanocomposites:concrete,bone,and shale[J].Journal of the American Ceramic Society,2007,90(9):2677-2692.
[16] CASTAÑEDA P P.Second-order homogenization estimates for nonlinear composites incorporating field fluctuations:Ⅱ-applications[J].Journal of the Mechanics and Physics of Solids,2002,50(4):759-782.
[17] SANAHUJA J,DORMIEUX L,CHANVILLARD G.Modelling elasticity of a hydrating cement paste[J].Cement and Concrete Research,2007,37(10):1427-1439.
[18] ORTEGA J A,ULM F J,ABOUSLEIMAN Y.The effect of the nanogranular nature of shale on their poroelastic behavior[J].Acta Geotechnica,2007,2(3):155-182.
[19] ORTEGA J A,ULM F J,ABOUSLEIMAN Y.The nanogranular acoustic signature of shale[J].Geophysics,2009, 74(3):D65-D84.
[20] CHENG Y T,CHENG Chemin.Scaling,dimensional analysis,and indentation measurements[J].Materials Science and Engineering:R:Reports,2004,44(4/5):91-149.
[21] ORTEGA J A,GATHIER B,ULM F J.Homogenization of cohesive-frictional strength properties of porous composites:linear comparison composite approach[J].Journal of Nanomechanics and Micromechanics,2011,1(1):11-23.
[22] 张研,张子明.材料细观力学[M].北京:科学出版社,2008:52-56.
ZHANG Yan,ZHANG Ziming.Mesomechanics of materials[M].Beijing:Science Press,2008:52-56.
[23] DORMIEUX L,KONDO D,ULM F J.Microporofracture and damage mechanics[M]//DORMIEUX L,KONDO D,ULM F J.Microporomechanics.Washington:John Wiley & Sons,Ltd,2006:291-318.
[24] SALENÇON J.Introduction to the yield design theory and its applications to soil mechanics[J].European Journal of Mechanics A-Solids,1990,9(5):477-500.
[25] CASTAÑEDA P P.New variational principles in plasticity and their application to composite materials[J].Journal of the Mechanics and Physics of Solids,1992,40(8):1757-1788.
[26] FRITSCH A,DORMIEUX L,HELLMICH C,et al.Micromechanics of crystal interfaces in polycrystalline solid phases of porous media:fundamentals and application to strength of hydroxyapatite biomaterials[J].Journal of Materials Science,2007,42(21):8824-8837.
[27] MAALEJ Y,DORMIEUX L,SANAHUJA J.Micromechanical approach to the failure criterion of granular media[J].European Journal of Mechanics-A/Solids, 2009,28(3):647-653.
[28] DESRUES J.Limitations du choix de l'angle de frottement pour le critère de plasticité de Drucker-Prager[J].Revue Française de Génie Civil,2002,6(5):853-862.
[29] HAN Qiang,QU Zhan,YE Zhengyin.Research on the mechanical behaviour of shale based on multiscale analysis[J].Royal Society Open Science,2018,5(10):181039.
[30] 张研韩林.细观力学基础[M].北京:科学出版社,2014:216-219.
ZHANG Yan,HAN Lin.Foundation of mesomechanics[M].Beijing:Science Press,2014:216-219.
[31] BOBKO C P,GATHIER B,ORTEGA J A,et al.The nanogranular origin of friction and cohesion in shale-A strength homogenization approach to interpretation of nanoindentation results[J].International Journal for Numerical and Analytical Methods in Geomechanics,2011,35(17):1854-1876.
[32] SANAHUJA J,DORMIEUX L.Strength of a porous medium with a heterogeneous solid phase[J].Comptes Rendus Mecanique,2005,11(11):818-823.
[33] CHOLLACOOP N,DAO M,SURESH S.Depth-sensing instrumented indentation with dual sharp indenters[J].Acta Materialia,2003,51(13):3713-3729.
[34] CHENG Y T,CHENG Chemin.Analysis of indentation loading curves obtained using conical indenters[J].Philosophical Magazine Letters,1998,77(1):39-47.
[35] GANNEAU F P,CONSTANTINIDES G,ULM F J.Dual-indentation technique for the assessment of strength properties of cohesive-frictional materials[J].International Journal of Solids and Structures,2006,43(6):1727-1745.
[36] HAN Qiang,CHEN Ping,MA Tianshou.Influencing factor analysis of shale micro-indentation measurement[J].Journal of Natural Gas Science and Engineering,2015,27:641-650.

基于多尺度均匀化理论的页岩强度表征

Shale strength characterization based on the multi-scale homogenization theory

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]	何文渊, 崔宝文, 张金友, 赵莹, 程心阳, 刘召, 刘鑫, 曾花森. 松辽盆地北部嫩江组中—低成熟页岩油地质特征及勘探突破[J]. 石油学报, 2024, 45(6): 900-913.
[2]	刘胜男, 朱如凯, 靳军, 张婧雅. 油气运移约束陆相页岩油富集——以准噶尔盆地吉木萨尔凹陷芦草沟组为例[J]. 石油学报, 2024, 45(6): 932-946.
[3]	王鑫, 蒙启安, 白云风, 张金友, 王民, 刘召, 孙先达, 李进步, 许承武, 徐亮, 邓仔晓, 吴艳, 卢双舫. 页岩储集性与含油性的毫米级精细评价及意义——以松辽盆地青山口组一段为例[J]. 石油学报, 2024, 45(6): 961-975.
[4]	解德录, 赵贤正, 金凤鸣, 蒲秀刚, 韩文中, 时战楠, 张伟, 董雄英. 沧东凹陷深湖亚相纹层状页岩成因及页岩油可动性影响因素[J]. 石油学报, 2024, 45(5): 804-816.
[5]	熊钰, 郭美娟, 王羚鸿, 吴道铭, 陈美华, 李明秋, 邓波, 张芮, 路俊刚, 曾德铭. 四川盆地侏罗系大安寨段页岩油特征及可动性评价[J]. 石油学报, 2024, 45(5): 817-843.
[6]	侯连华, 米敬奎, 罗霞, 于志超, 林森虎, 廖凤荣, 庞正炼, 赵忠英. 压力对页岩原位加热产出油气特征的影响——以鄂尔多斯盆地三叠系延长组7段3亚段页岩为例[J]. 石油学报, 2024, 45(4): 629-641.
[7]	杨勇, 张世明, 吕琦, 杜玉山, 李伟忠, 程紫燕, 吕晶, 刘祖鹏. 中国东部陆相断陷盆地中—低成熟度页岩油立体开发技术——以济阳坳陷古近系沙河街组为例[J]. 石油学报, 2024, 45(4): 672-682,697.
[8]	何永宏, 李桢, 樊建明, 张超, 张旭泽, 马兵. 鄂尔多斯盆地页岩油开发井网优化技术及实践——以庆城油田为例[J]. 石油学报, 2024, 45(4): 683-697.
[9]	李祯, 郭奇, 卜亚辉, 胡慧芳. 基于深度学习的饱和度场样本库建立及预测[J]. 石油学报, 2024, 45(4): 698-707.
[10]	梁兴, 单长安, 张磊, 罗瑀峰, 蒋立伟, 张介辉, 朱斗星, 舒红林, 李健. 四川盆地渝西地区大安深层页岩气田的勘探发现及成藏条件[J]. 石油学报, 2024, 45(3): 477-499.
[11]	惠沙沙, 庞雄奇, 谌卓恒, 王琛茜, 施砍园, 胡涛, 胡耀, 李敏, 梅术星, 黎茂稳. 四川盆地海相页岩孔隙类型对孔隙空间贡献定量表征[J]. 石油学报, 2024, 45(3): 531-547.
[12]	武晓光, 龙腾达, 黄中伟, 高文龙, 李根生, 谢紫霄, 杨芮, 鲁京松, 马金亮. 页岩油多岩性交互储层径向井穿层压裂裂缝扩展特征[J]. 石油学报, 2024, 45(3): 559-573,585.
[13]	宋兆杰, 邓森, 宋宜磊, 刘勇, 鲜成钢, 张江, 韩啸, 曹胜, 付兰清, 崔焕琦. 大庆油田古龙页岩油-CO₂高压相态及传质规律[J]. 石油学报, 2024, 45(2): 390-402.
[14]	吴宝成, 吴承美, 谭强, 褚艳杰, 梁成钢, 李文波, 张金风, 陈依伟, 徐田录, 王良哲. 准噶尔盆地吉木萨尔凹陷昌吉页岩油成藏条件及勘探开发关键技术[J]. 石油学报, 2024, 45(2): 437-460.
[15]	李乐, 胡远清, 彭小桂, 王伟, 余浩宇, 崔亚圣. 页岩气藏中硫化氢成因研究进展[J]. 石油学报, 2024, 45(2): 461-476.