基于岩屑升尺度理论的岩石强度预测方法研究

doi:10.3724/1000-6915.jrme.2024.0886

摘要
图/表
参考文献
相关文章 (15)

全文: PDF (1427 KB) HTML (1 KB)
输出: BibTeX | EndNote (RIS)

摘要岩石力学参数是深地工程设计和施工必不可少的基础数据，但是受到取芯难、地下原位测试难的限制，在实际应用中往往缺乏可靠岩石力学参数支持。鉴于此，从岩石的细微观尺度出发，通过引入Hill张量来精确描述不同矿物组分及内部孔隙、裂隙在细微观尺度下的形态分布特征，及对岩石宏观物理力学性能的深刻影响，进而运用升尺度理论构建岩石复杂微观结构与宏观力学性能之间的函数关系。在此基础上，创新性地引入局部化张量，用以精确表征细观尺度下各组成物质变形与宏观变形之间的数学关联。在此过程中，充分考虑岩石在细微观层面的损伤机制，提升模型的预测精度与适用性。此外，研究还充分考虑了围压效应对岩石力学行为的影响，使模型更加贴近实际工程环境。研究结果表明：该模型能够在获取岩石内部矿物含量、矿物弹性参数和孔隙特征的基础上，定量表征宏观弹性模量，并快速预测线性和非线性变形，其中非线性变形预测考虑了岩石损伤和围压效应的影响。

	服务

	把本文推荐给朋友
	加入我的书架
	加入引用管理器
	E-mail Alert
	RSS
	作者相关文章

关键词 ：岩石力学, 岩屑, 升尺度理论, 均匀化方法, 强度预测

Abstract：Rock mechanics parameters are crucial for the design and construction of deep underground engineering projects. However, their reliability is often compromised due to challenges in core extraction and in-situ testing. To tackle this issue, this study adopts a micro-scale perspective on rocks, introducing the Hill tensor to precisely describe the morphological distribution characteristics of different mineral components, as well as internal pores and fractures, at the micro-scale and their significant impact on the macro-scale physical and mechanical properties of rocks. Subsequently, upscaling theory is utilized to establish a functional relationship between the complex microstructure and macro-mechanical properties of rocks. Building on this foundation, a localized tensor is innovatively introduced to accurately represent the mathematical correlation between deformations at the micro-scale and the macro-scale. Throughout this process, the study thoroughly considers the damage mechanisms at the micro-scale, enhancing the model's predictive accuracy and applicability. Furthermore, the study fully accounts for the influence of confining pressure on rock mechanical behavior, aligning the model more closely with real-world engineering conditions. The results indicate that the model, based on the mineral content, mineral elastic parameters, and pore characteristics within the rock, can quantitatively characterize the macro-scale elastic modulus and rapidly predict both linear and nonlinear deformations, considering the effects of rock damage and confining pressure.

Key words： rock mechanics rock fragments upscaling theory homogenization method strength prediction

引用本文:

赵建建1，王倩2，杨福见3，陈石3，胡大伟3，邵建富4，谢冰1，宋白杨1，李宁1. 基于岩屑升尺度理论的岩石强度预测方法研究[J]. 岩石力学与工程学报, 2025, 44(6): 1527-1538.
ZHAO Jianjian1, WANG Qian2, YANG Fujian3, CHEN Shi3, HU Dawei3, SHAO Jianfu4, . Research on rock strength prediction method based on rock fragment br upscaling theory. , 2025, 44(6): 1527-1538.

链接本文:

https://rockmech.whrsm.ac.cn/CN/10.3724/1000-6915.jrme.2024.0886 或 https://rockmech.whrsm.ac.cn/CN/Y2025/V44/I6/1527

[14]	QI M，SHAO J F，GIRAUD A，et al. Damage and plastic friction in initially anisotropic quasi brittle materials[J]. International Journal of Plasticity，2016，82(7)：260-282.
[1]	LIU X，GUO Z，ZHANG Q，et al. Rock physical characterisation of microstructural fabrics and elastic anisotropy for a shale oil reservoir[J]. Journal of Geophysics and Engineering，2020，17(2)：377-389.
[15]	SHEN W，SHAO J，KONDO D. Macroscopic criteria for Green type porous materials with spheroidal voids：application to double porous materials[J]. International Journal for Numerical and Analytical Methods in Geomechanics，2018，41(11)：1 453-1 473.
[2]	REN C，YU J，ZHANG C，et al. Micro-macro approach of anisotropic damage：A semi-analytical constitutive model of porous cracked rock[J]. Engineering Fracture Mechanics，2023，290(6)：109483.
[16]	ZHAO J J，SHEN W Q，SHAO J F，et al. A constitutive model for anisotropic clay-rich rocks considering micro-structural composition[J]. International Journal of Rock Mechanics and Mining Sciences，2022，151(3)：105029.
[3]	YU D，LIU E，XIANG B，et al. A micro-macro constitutive model for rock considering breakage effects[J]. International Journal of Mining Science and Technology，2023，33(2)：173-184.
[17]	ESHELBY J D. The determination of the elastic field of an ellipsoidal inclusion, and related problems[C]// Proceedings of the Royal Society. London：[s. n.]，1957，241(1226)：376-396.
[4]	ZHU Q Z，KONDO D，SHAO J F. Micromechanical analysis of coupling between anisotropic damage and friction in quasi brittle materials：role of the homogenization scheme[J]. International Journal of Solids and Structures，2008，45(5)：1 385-1 405.
[18]	MORI T，TANAKA K. Average stress in matrix and average elastic energy of materials with misfitting inclusions[J]. Acta Metallurgica，1973，21(5)：571-574.
[5]	CAO Y J，SHEN W Q，SHAO J F，et al. Influences of micro-pores and meso-pores on elastic and plastic properties of porous materials[J]. European Journal of Mechanics，2018，72(6)：407-423.
[19]	BORNERT M，BRETHEAU T，GILORMINI P. Homogénéisation en mécanique des matériaux，Tome 1：Matériaux aléatoires élastiques et milieux périodiques[M]. Paris：Hermes Science，2001：130-132.
[6]	SHEN W Q，SHAO J F. A micromechanical model of inherently anisotropic rocks[J]. Computers and Geotechnics，2015，65(4)：73-79.
[20]	MAGHOUS S，DORMIEUX L，BARTHÉLÉMY J F. Micromechanical approach to the strength properties of frictional geomaterials[J]. European Journal of Mechanics-A/Solids，2009，28(1)：179-188.
[7]	张帆，郭翰群，赵建建，等. 花岗岩微观力学性质试验研究[J]. 岩石力学与工程学报，2017，36(增2)：3 864-3 872.(ZHANG Fan，GUO Hanqun，ZHAO Jianjian，et al. Experimental study of micro-mechanical properties of granite[J]. Chinese Journal of Rock Mechanics and Engineering，2017，36(Supp. 2)：3 864-3 872.(in Chinese))
[21]	DONG J J，HSU J Y，WU W J，et al. Stress-dependence of the permeability and porosity of sandstone and shale from TCDP Hole-A[J]. International Journal of Rock Mechanics and Mining Sciences，2010，47(7)：1 141-1 157.
[8]	ZHANG F，GUO H，HU D，et al. Characterization of the mechanical properties of a claystone by nano-indentation and homogenization[J]. Acta Geotechnica，2018，13(6)：1 395-1 404.
[22]	陈颙，黄庭芳，刘恩儒. 岩石物理学[M]. 合肥：中国科学技术大学出版社，2009：83-84.(CHEN Yong，HUANG Tingfang，LIU Enru. Rock physics[M]. Hefei：University of Science and Technology of China Press，2009：83-84.(in Chinese))
[23]	孙长伦，李桂臣，许嘉徽，等. 砂岩矿物组分流变特性纳米压痕实验研究[J]. 岩石力学与工程学报，2021，40(1)：77-87.(SUN Changlun，LI Guichen，XU Jiahui，et al. Rheological characteristics of mineral components in sandstone based on nanoindentation[J]. Chinese Journal of Rock Mechanics and Engineering，2021，40(1)：77-87.(in Chinese))
[9]	马天寿，张东洋，陆灯云，等. 地质力学参数智能预测技术进展与发展方向[J]. 石油科学通报，2024，9(3)：365-382.(MA Tianshou，ZHANG Dongyang，LU Dengyun，et al. Progress and development direction of intelligent prediction technology of geomechanical parameters[J]. Petroleum Science Bulletin，2024，9(3)：365-382.(in Chinese))
[10]	姚明宇，李天娇，丛文雨，等. 页岩数字岩心重构与水力压裂数值试验[J]. 工程科学学报，2024，46(3)：556-566.(YAO Mingyu，LI Tianjiao，CONG Wenyu，et al. Reconstruction of the shale digital core and numerical test of hydraulic fracturing[J]. Chinese Journal of Engineering，2024，46(3)：556-566.(in Chinese))
[11]	YU Z，SHAO J，DUVEAU G，et al. Numerical modeling of deformation and damage around underground excavation by phase-field method with hydromechanical coupling[J]. Computers and Geotechnics，2021，138(6)：104369.
[12]	WANG M，YU Z，SHEN W，et al. Numerical study of time-dependent deformation and cracking in brittle rocks with phase-field method and application to slope instability analysis[J]. International Journal of Rock Mechanics and Mining Sciences，2022，155(6)：105144.
[13]	ZHU L，SHEN W，SHAO J，et al. Insight of molecular simulation to better assess deformation and failure of clay-rich rocks in compression and extension[J]. International Journal of Rock Mechanics and Mining Sciences，2021，138(1)：104589.
[14]	QI M，SHAO J F，GIRAUD A，et al. Damage and plastic friction in initially anisotropic quasi brittle materials[J]. International Journal of Plasticity，2016，82(7)：260-282.
[15]	SHEN W，SHAO J，KONDO D. Macroscopic criteria for Green type porous materials with spheroidal voids：application to double porous materials[J]. International Journal for Numerical and Analytical Methods in Geomechanics，2018，41(11)：1 453-1 473.
[16]	ZHAO J J，SHEN W Q，SHAO J F，et al. A constitutive model for anisotropic clay-rich rocks considering micro-structural composition[J]. International Journal of Rock Mechanics and Mining Sciences，2022，151(3)：105029.
[17]	ESHELBY J D. The determination of the elastic field of an ellipsoidal inclusion, and related problems[C]// Proceedings of the Royal Society. London：[s. n.]，1957，241(1226)：376-396.
[18]	MORI T，TANAKA K. Average stress in matrix and average elastic energy of materials with misfitting inclusions[J]. Acta Metallurgica，1973，21(5)：571-574.
[19]	BORNERT M，BRETHEAU T，GILORMINI P. Homogénéisation en mécanique des matériaux，Tome 1：Matériaux aléatoires élastiques et milieux périodiques[M]. Paris：Hermes Science，2001：130-132.
[20]	MAGHOUS S，DORMIEUX L，BARTHÉLÉMY J F. Micromechanical approach to the strength properties of frictional geomaterials[J]. European Journal of Mechanics-A/Solids，2009，28(1)：179-188.
[21]	DONG J J，HSU J Y，WU W J，et al. Stress-dependence of the permeability and porosity of sandstone and shale from TCDP Hole-A[J]. International Journal of Rock Mechanics and Mining Sciences，2010，47(7)：1 141-1 157.
[22]	陈颙，黄庭芳，刘恩儒. 岩石物理学[M]. 合肥：中国科学技术大学出版社，2009：83-84.(CHEN Yong，HUANG Tingfang，LIU Enru. Rock physics[M]. Hefei：University of Science and Technology of China Press，2009：83-84.(in Chinese))
[23]	孙长伦，李桂臣，许嘉徽，等. 砂岩矿物组分流变特性纳米压痕实验研究[J]. 岩石力学与工程学报，2021，40(1)：77-87.(SUN Changlun，LI Guichen，XU Jiahui，et al. Rheological characteristics of mineral components in sandstone based on nanoindentation[J]. Chinese Journal of Rock Mechanics and Engineering，2021，40(1)：77-87.(in Chinese))