基于节理张量的岩体等效弹性力学参数计算方法研究

doi:10.3724/1000-6915.jrme.2024.0445

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Abstract Fracture roughness and spatial distribution significantly influence the anisotropic behavior of rock masses. Traditional fabric tensor models often simplify fractures as planes，whereas natural fractures exhibit rough surfaces. This study aims to modified the existing fabric tensor and derive a detailed method for calculating the equivalent elastic mechanical parameters of rough discrete fracture networks(RDFN). By introducing fractal theory，a case model is constructed，and a comparative analysis between planar discrete fracture networks(DFN) and RDFN is conducted. To further enhance the reliability of the study，a simple model is generated using numerical software，and both analytical and numerical solutions of the model are computed. The results indicate that：(1) the modified method that considers roughness effectively mitigates the limitations of the fabric tensor. (2) The RDFN case model constructed based on the W-M fractal function exhibits significant rough characteristics，with the fractal dimension (D) and fractal roughness(G) greatly impacting the surface roughness of fractures. (3) Compared to the DFN model，the inherent roughness influences the equivalent elastic mechanical parameters of RDFN models by approximately 5% to 15%. (4) The numerical solutions of the simple numerical models closely match the analytical solutions，with minimal error，validating the accuracy of the constitutive relationship based on the modified fabric tensor. These findings provide valuable insights for analyzing the equivalent elastic behavior of rock masses with rough fractures.

Key words： rock mechanics rock mass discrete fracture network fabric tensor fractal theory equivalent elastic mechanical parameters

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	Articles by authors
	YIN Jinghan1
	2
	CUI Zhen1
	2
	SHENG Qian1
	2
	SUN Xin1
	2
	ZHANG Maochu3

Cite this article:

YIN Jinghan1,2,CUI Zhen1, et al. Research on the calculation method for equivalent elastic mechanical parameters of rock masses based on the fabric tensor[J]. , 2025, 44(1): 152-163.

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https://rockmech.whrsm.ac.cn/EN/10.3724/1000-6915.jrme.2024.0445 OR https://rockmech.whrsm.ac.cn/EN/Y2025/V44/I1/152

[1]	孙广忠. 岩体结构力学[M]. 北京：科学出版社，1988：1.(SUN Guangzhong. Mechanics of rock structures[M]. Beijing：Science and Technology Press，1988：1.(in Chinese))
[2]	WANG P T，CAI M F，REN F H. Anisotropy and directionality of tensile behaviours of a jointed rock mass subjected to numerical Brazilian tests[J]. Tunnelling and Underground Space Technology，2018，73：139-153.
[3]	FENG XT，PEI SF，JIANG Q，et al. Deep fracturing of the hard rock surrounding a large underground cavern subjected to high geostress：in situ observation and mechanism analysis[J]. Rock Mechanics and Rock Engineering，2017，50：2 155-2 175.
[4]	郭辉，吴斌平，王佳俊，等. 考虑变压变浆的三维精细裂隙网络灌浆数值模拟[J]. 水利水电技术(中英文)，2021，52(11)：108-119.(GUO Hui，WU Binping，WANG Jiajun，et al. Variable pressure and variable water cement ratio?considered 3-D numerical simulation of fine fissure?network grouting[J]. Water Resources and Hydropower Engineering，2021，52(11)：108-119.(in Chinese))
[5]	李馨馨，徐轶. 裂隙岩体渗流溶质运移耦合离散裂隙模型数值计算方法[J]. 岩土工程学报，2019，41(6)：1 164-1 171.(LI Xinxin，XU Yi. Hydraulic and solute transport coupling model for fractured rock mass with discrete fracture network using computational method[J]. Chinese Journal of Geotechnical Engineering，2019，41(6)：1 164-1 171.(in Chinese))
[6]	宋晓晨，徐卫亚. 裂隙岩体渗流模拟的三维离散裂隙网络数值模型(Ⅰ)：裂隙网络的随机生成[J]. 岩石力学与工程学报，2004，23(12)：2 015-2 020.(SONG Xiaochen，XU Weiya. Numerical model of three-dimensional discrete fracture network for seepage in fractured rocks (Ⅰ)：generation of fracture network[J]. Chinese Journal of Rock Mechanics and Engineering，2004，23(12)：2 015-2 020.(in Chinese))
[7]	王培涛，任奋华，谭文辉，等. 单轴压缩试验下粗糙离散节理网络模型建立及力学特性[J]. 岩土力学，2017，38(增1)：70-78.(WANG Peitao，REN Fenhua，TAN Wenhui，et al. Model of roughness discrete fractures network for uniaxial compressive test and its mechanical properties[J]. Rock and Soil Mechanics，2017，38(Supp.1)：70-78.(in Chinese))
[8]	王培涛，黄正均，任奋华，等. 基于3D打印的含复杂节理岩石直剪特性及破坏机制研究[J]. 岩土力学，2020，41(1)：46-56.(WANG Peitao，HUANG Zhengjun，REN Fenhua，et al. Research on direct shear behaviour and fracture patterns of 3D-printed complex jointed rock models[J]. Rock and Soil Mechanics，2020，41(1)：46-56.(in Chinese))
[9]	王培涛，任奋华，蔡美峰. 基于离散元方法的粗糙性节理岩体直剪力学及尺寸效应特性[J]. 煤炭学报，2018，43(4)：976-983.(WANG Peitao，REN Fenhua，CAI Meifeng，et al. Mechanical analysis and size effect of rough discrete fractures network model under direct shear tests based on particle flow code[J]. Journal of China Coal Society，2018，43(4)：976-983.(in Chinese))
[10]	WANG P T，REN F H，CAI M F. Influence of joint geometry and roughness on the multiscale shear behaviour of fractured rock mass using particle flow code[J]. Arabian Journal of Geosciences，2020，13：1-14.
[11]	WANG P T，LIU C，QI Z W，et al. A rough discrete fracture network model for geometrical modeling of jointed rock masses and the anisotropic behaviour[J]. Applied Sciences，2022，12(3)：1 720.
[12]	YANG J P，CHEN W Z，DAI Y H，et al. Numerical determination of elastic compliance tensor of fractured rock masses by finite element modeling[J]. International Journal of Rock Mechanics and Mining Sciences，2014，70：474-482.
[13]	CAI M，KAISER P，UNO H，et al. Estimation of rock mass deformation modulus and strength of jointed hard rock masses using the GSI system[J]. International Journal of Rock Mechanics and Mining Sciences，2004，41(1)：3-19.
[14]	SONMEZ H，GOKCEOGLU C，ULUSAY R. Indirect determination of the modulus of deformation of rock masses based on the GSI system[J]. International Journal of Rock Mechanics and Mining Sciences，2004，41(5)：849-857.
[15]	BARTON N. Some new Q-value correlations to assist in site characterisation and tunnel design[J]. International Journal of Rock Mechanics and Mining Sciences，2002，39(2)：185-216.
[16]	BIENIAWSKI ZT. Determining rock mass deformability：experience from case histories[J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts，1978：237-247.
[17]	PALMSTRÖM A，SINGH R. The deformation modulus of rock masses—comparisons between in situ tests and indirect estimates[J]. Tunnelling and Underground Space Technology，2001，16(2)：115-131.
[18]	HOEK E，DIEDERICHS M S. Empirical estimation of rock mass modulus[J]. International Journal of Rock Mechanics and Mining Sciences，2006，43(2)：203-215.
[19]	LI S H，ZHAO M H，WANG Y N，et al. A new numerical method for DEM-block and particle model[J]. International Journal of Rock Mechanics and Mining Sciences，2004，41：414-418.
[20]	吴琼. 复杂节理岩体力学参数尺寸效应及工程应用研究[博士学位论文][D]. 武汉：中国地质大学(武汉)，2012.(WU Qiong. The mechanical parameters of jointed rock mas：scale-effect research and its engineering application[Ph. D. Thesis][D]. Wuhan：China Univercity of Geosciences(Wuhan)，2012.(in Chinese))
[21]	GERRARD CM. Equivalent elastic moduli of a rock mass consisting of orthorhombic layers[J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts，1982，19(1)：9-14.
[22]	SALAMON MDG. Elastic moduli of a stratified rock mass[J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts，1968，5(6)：519-527.
[23]	GERRARD CM. Elastic models of rock masses having one，two and three sets of joints[J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts，1982，19(1)：15-23.
[24]	ODA M. Fabric tensor for discontinuous geological materials[J]. Soils and Foundations，1982，22(4)：96-108.
[25]	崔洁. 规则节理岩体各向异性变形张量理论与经验强度准则研究[博士学位论文][D]. 北京：中国科学院大学，2018.(CUI Jie. Study on the anisotropic deformation tensor thoery and empirical strength criterion of regular jointed rock mass[Ph. D. Thesis][D]. Beijing：University of Chinese Academy of Sciences，2018.(in Chinese))
[26]	张婷婷. 地下水封洞库岩体力学参数REV的各向异性研究[博士学位论文][D]. 武汉：中国地质大学(武汉)，2013.(ZHANG Tingting. Anisotropy of mechanical parameters?REV of rock mass in underground water-sealed caverns project[Ph. D. Thesis][D]. Wuhan：China Univercity of Geosciences(Wuhan)，2013.(in Chinese))
[27]	ODA M. A method for evaluating the effect of crack geometry on the mechanical behavior of cracked rock masses[J]. Mechanics of Materials，1983，2(2)：163-171.
[28]	ODA M，SUZUKI K，MAESHIBU T. Elastic compliance for rock-like materials with random cracks[J]. Soils and Foundations，1984，24(3)：27-40.
[29]	ODA M. A method for evaluating the representative elementary volume based on joint survey of rock masses[J]. Canadian Geotechnical Journal，1988，25(3)：440-447.
[30]	CUI J，JIANG Q，FENG X T，et al. Equivalent elastic compliance tensor for rock mass with multiple persistent joint sets：Exact derivation via modified crack tensor[J]. Journal of Central South University，2016，23(6)：1 486-1 507.
[31]	JIANG Q，CUI J，FENG X T，et al. Demonstration of spatial anisotropic deformation properties for jointed rock mass by an analytical deformation tensor[J]. Computers and Geotechnics，2017，88：111-128.
[32]	BELEM T，HOMAND EF，SOULEY M. Quantitative parameters for rock joint surface roughness[J]. Rock Mechanics and Rock Engineering，2000，33：217-242.
[33]	SHI GH. Applications of three dimensional discontinuous deformation analysis(3-D DDA)[C]// The International Conference on Rock Joints and Jointed Rock Masses. [S. l.]：[s. n.]，2009：237-245.
[34]	黎斌，廖昕，席英伟，等. 基于MATLAB的3DEC三维结构面网络模拟方法研究[J]. 地质灾害与环境保护，2022，33(4)：108-114.(LI Bin，LIAO Xin，XI Yingwei，et al. Research on 3D structural plane network simulation method based on matlab in 3DEC[J]. Journal of Geological Hazards and Environment Preservatio，2022，33(4)：108-114.(in Chinese))
[35]	王培涛，刘操，马驰，等. 基于离散裂隙网络的岩体各向异性莫尔-库仑表征方法研究[J]. 岩石力学与工程学报，2023，42(增1)：3 266-3 280.(WANG Peitao，LIU Cao，MA Chi，et al. On the anisotropic Mohr-Coulomb criterion of fractured rock masses based on the discrete fracture network[J]. Chinese Journal of Rock Mechanics and Engineering，2023，42(S1)：3 266-3 280.(in Chinese))
[36]	王培涛，刘雨，章亮，等. 基于3D打印技术的裂隙岩体单轴压缩特性试验初探[J]. 岩石力学与工程学报，2018，37(2)：364-373.(WANG Peitao，LIU Yu，ZHANG Liang，et al. Preliminary experimental study on uniaxial compressive properties of 3D printed fractured rock models[J]. Chinese Journal of Rock Mechanics and Engineering，2018，37(2)：364-373.(in Chinese))
[37]	ARCHARD J F. Elastic deformation and the laws of friction[J]. Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences，1957，243(1233)：190-205.
[38]	MANDELBORT BB. Fractals：form，chance，and dimension[M]. San Francisc：W. H. Freemanand Company，1977：35-37.
[39]	YAN W，KOMVOPOULOS K. Contact analysis of elastic-plastic fractal surfaces[J]. Journal of Applied Physics，1998，84(7)：3 617-3 624.
[40]	WANG P T，MA C，ZHANG B，et al. Development of an improved three-dimensional rough discrete fracture network model：Method and application[J]. International Journal of Mining Science and Technology，2023，33(12)：1 469-1 485.
[41]	张鹏，李宁，陈新民. 一种新的裂隙三维表面粗糙度表征方法[J]. 岩石力学与工程学报，2009，28(增2)：3 477-3 483.(ZHANG Peng，LI Ning，CHEN Xinmin. A new representation method for three-dimensional surface roughness of rock fracture[J]. Chinese Journal of Rock Mechanics and Engineering，2009，28(Supp.2)：3 477-3 483.(in Chinese))
[42]	尹敬涵，崔臻，盛谦，等. 循环荷载作用下岩石劈裂结构面剪切力学特性演化与影响因素研究[J]. 岩土力学，2023，44(1)：109-118.(YIN Jinghan，CUI Zhen，SHENG Qian，et al. Shear mechanical characteristics evolution and influencing factors of rock discontinuities under cyclic loading[J]. Rock and Soil Mechanics，2023，44(1)：109-118.(in Chinese))
[43]	张茂础，盛谦，崔臻，等. 围岩‐衬砌接触面剪切力学性质及破坏机制的试验研究[J]. 岩石力学与工程学报，2020，39(3)：550-559.(ZHANG Maochu，SHENG Qian，CUI Zhen，et al. Experimental study on shear properties and failure mechanisms of surrounding rock-lining contact surfaces[J]. Chinese Journal of Rock Mechanics and Engineering，2020，39(3)：550-559.(in Chinese))
[44]	WU Q，KULATILAKE P H. REV and its properties on fracture system and mechanical properties，and an orthotropic constitutive model for a jointed rock mass in a dam site in China[J]. Computers and Geotechnics，2012，43：124-142.
[45]	WANG X，CAI M. A DFN-DEM multi-scale modeling approach for simulating tunnel excavation response in jointed rock masses[J]. Rock Mechanics and Rock Engineering，2020，53(3)：1 053-1 077.