水力耦合下弱胶结砂岩力学特性及本构模型研究

李欣慰; 姚直书; 陆路; 黄献文; 叶明

doi:10.20174/j.JUSE.2026.01.07

地下空间与工程学报 >

2026 , Vol. 22 >Issue 1: 60 - 71

DOI: https://doi.org/10.20174/j.JUSE.2026.01.07

理论与试验研究

水力耦合下弱胶结砂岩力学特性及本构模型研究

李欣慰 ,
姚直书 ,
陆路 ,
黄献文 ,
叶明

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1.淮阴工学院碳储科学与工程研究院,江苏淮安 223003;
2.安徽理工大学土木建筑学院,安徽淮南 232001;
3.苏州科技大学土木工程学院,江苏苏州 325035;
4.中国水利水电第六工程局有限公司,沈阳 110169

李欣慰(1995—),男,江苏徐州人,博士,讲师,主要从事地下工程、岩石力学等领域的教学与科研工作。E-mail:18251288921@163.com

姚直书(1963—),男,安徽六安人,硕士,教授、博士生导师,主要从事岩土工程、地下工程等领域的研究工作。E-mail:zsyao@aust.edu.cn

收稿日期: 2025-05-09

网络出版日期: 2026-03-03

基金资助

国家自然科学基金(52174104, 52308367);淮阴工学院科研启动基金(Z301B23518)

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Study on the Mechanical Properties and Constitutive Model of Weakly Cemented Sandstone under Hydraulic Coupling

Li Xinwei ,
Yao Zhishu ,
Lu Lu ,
Huang Xianwen ,
Ye Ming

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1. Institute of Carbon Storage Science and Engineering, Huaiyin Institute of Technology, Huaian, Jiangsu 223003, P.R. China;
2. School of Civil Engineering and Architecture, Anhui University of Science ＆ Technology, Huainan, Anhui 232001, P.R. China;
3. School of Civil Engineering, Suzhou University of Science and Technology, Suzhou, Jiangsu 325035, P.R. China;
4. Sinohrdro Bureau 6 Co., Ltd., Shenyang 110169, P.R. China

Received date: 2025-05-09

Online published: 2026-03-03

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摘要

水力耦合作用是造成围岩失稳和涌水灾害的重要因素。利用TAW-2000型岩石力学测试系统对白垩系弱胶结红砂岩进行水力耦合试验,分析了不同渗透水压和围压作用下红砂岩的非线性力学特性和强度特征,探索了渗透水压对红砂岩的劣化机理;结合有效应力原理、D-P强度准则和应变等价性理论,建立了反映水力耦合作用的损伤本构模型。结果表明:围压限制裂纹扩展,对力学性质起到强化作用,随着围压的增大,红砂岩的强度、弹性模量增大,泊松比降低;随着水压增大,红砂岩的强度、弹性模量降低,泊松比增大,表现出明显的软化效应;红砂岩黏土矿物含量少,胶结能力弱,在水压作用下颗粒间的胶结物溶解,丧失胶结强度,导致黏聚力大幅下降,丧失胶结强度是红砂岩软化的内在原因;本文建立的本构模型适用于常规三轴试验和水力耦合试验,能够较好地描述红砂岩的应力—应变关系和损伤演化规律;随着参数m增大,岩石塑性变形能力减弱,随着参数F₀的增加,岩石抵抗破坏和变形的能力增强。

关键词： 弱胶结砂岩; 水力耦合; 力学特性; D-P准则; 本构模型

本文引用格式

李欣慰 , 姚直书 , 陆路 , 黄献文 , 叶明 . 水力耦合下弱胶结砂岩力学特性及本构模型研究[J]. 地下空间与工程学报, 2026 , 22(1) : 60 -71 . DOI: 10.20174/j.JUSE.2026.01.07

Abstract

Hydraulic coupling is an important factor causing the instability of surrounding rock and water inrush disaster. The hydraulic coupling tests were conducted by using TAW-2000 rock mechanics testing system on the cretaceous weakly cemented red sandstone, the nonlinear mechanical behaviors and strength characteristics were analyzed under different seepage pressures and confining pressures, and the degradation mechanism of seepage pressure on red sandstone was explored. Combined with the effective stress principle, D-P criterion and strain equivalence theory, a damage constitutive model reflecting the hydraulic coupling effect was established. The results show that: Confining pressure restricts crack propagation and enhances mechanical properties. As confining pressure increases, the strength and elastic modulus of red sandstone increase, while the Poisson's ratio decreases; As the pore water pressure increases, the strength and elastic modulus of red sandstone decrease, and the Poisson's ratio increases, exhibiting a significant softening effect. Red sandstone has low clay mineral content and weak cementation ability, under the action of water pressure, the cement between particles dissolves and loses the cementation strength, resulting in a significant decrease in cohesion, the loss of cementation strength is the internal reason for the softening of red sandstone. The constitutive model established is suitable for conventional triaxial test and hydraulic coupling test, and can better describe the stress-strain relationship and the law of damage evolution of red sandstone. With the increase of parameter m, the plastic deformation ability of rock decreases, and with the increase of parameter F₀, the rock resistance to damage and deformation increases.

Key words： weakly cemented sandstone; hydraulic coupling; mechanical properties; D-P criterion; constitutive model

参考文献

[1] Liu Y, Liu C W, Kang Y M, et al. Experimental research on creep properties of limestone under fluid-solid coupling[J]. Environmental Earth Sciences, 2015, 73(11): 7011-7018.
[2] Liu D F, Yan W X, Yan S, et al. Study on the effect of axial and hydraulic pressure coupling on the creep behaviors of sandstone under multi-loading[J]. Bulletin of Engineering Geology and the Environment, 2021, 80(8): 6107-6120.
[3] 董振兴, 李勇, 朱维申, 等. 水压作用含贯穿裂隙类岩石试件力学性能研究[J]. 地下空间与工程学报, 2020, 16(1): 63-72. (Dong Zhenxing, Zhu Yong, Zhu Weishen, et al. Experimental study on mechanical properties of rock-like specimens with penetrating cracks under water pressure[J]. Chinese Journal of Underground Space and Engineering, 2020, 16(1): 63-72. (in Chinese))
[4] 宋战平, 程昀, 杨腾添, 等. 渗透-应力耦合作用下灰岩压缩破坏及声发射特性分析[J]. 煤炭学报, 2019, 44(9): 2751-2759. (Song Zhanping, Cheng Yun, Yang Tengtian, et al. Analysis of compression failure and acoustic emission characteristics of limestone under permeability-stress coupling[J]. Journal of China Coal Society, 2019, 44(9): 2751-2759. (in Chinese))
[5] Zhang J W, Song Z X, Wang S Y. Mechanical behavior of deep sandstone under high stress-seepage coupling[J]. Journal of Central South University, 2021, 28(10): 3190-3206.
[6] 孙利辉, 纪洪广, 杨本生. 西部典型矿区弱胶结地层岩石的物理力学性能特征[J]. 煤炭学报, 2019, 44(3): 866-874. (Sun Lihui, Ji Hongguang, Yang Bensheng. Physical and mechanical characteristic of rocks with weakly cemented strata in Western representative mining area[J]. Journal of China Coal Society, 2019, 44(3): 866-874(in Chinese))
[7] 李化敏, 王开林, 李回贵, 等. 神东矿区弱胶结砂岩的力学及声发射特征研究[J]. 采矿与安全工程学报, 2018, 35(4): 843-851. (Li Huamin, Wang Kailin, Li Huigui, et al. Study on mechanical and acoustic emission characteristics of weakly cementation sandstone in Shendong coal field[J]. Journal of Mining & Safety Engineering, 2018, 35(4): 843-851. (in Chinese))
[8] Zhang Y D, Zhang W, Wang K Z, et al. Hydromechanical properties and engineering applications of weakly cemented soft rock in jurassic strata[J]. ACS Omega, 2023, 8(18): 16373-16383.
[9] Gu Q H, Tan Y L, Zhao G M, et al. Creep behavior of dry and saturated medium-grain sandstone and its relationship with conventional mechanical properties[J]. Geomechanics and Geophysics for Geo-Energy and Geo-Resources, 2024, 10(1): 1-15.
[10] Wang Q, Hu X L, Zheng W B, et al. Mechanical properties and permeability evolution of red sandstone subjected to hydro-mechanical coupling: experiment and discrete element modelling[J]. Rock Mechanics and Rock Engineering, 2021, 54(5): 2405-2423.
[11] Ma D, Duan H Y, Li X B, et al. Effects of seepage-induced erosion on nonlinear hydraulic properties of broken red sandstones[J]. Tunnelling and Underground Space Technology, 2019, 91: 102993.
[12] 宋朝阳, 纪洪广, 张月征, 等. 不同粒度弱胶结砂岩声发射信号源与其临界破坏前兆信息判识[J]. 煤炭学报, 2020, 45(12): 4028-4036. (Song Zhaoyang, Ji Hongguang, Zhang Yuezheng, et al. Study on acoustic emission signal sources and critical failure precursors of weakly consolidated sandstone with different grain sizes[J]. Journal of China Coal Society, 2020, 45(12): 4028-4036. (in Chinese))
[13] 赵康, 宋宇峰, 于祥, 等. 不同纤维作用下尾砂胶结充填体早期力学特性及损伤本构模型研究[J]. 岩石力学与工程学报, 2022, 41(2): 282-291. (Zhao Kang, Song Yufeng, Yu Xiang, et al. Study on early mechanical properties and damage constitutive model of tailing-cemented backfill with different fibers[J]. Chinese Journal of Rock Mechanics and Engineering, 2022, 41(2): 282-291. (in Chinese))
[14] Hajiabad M R, Nick H M. A modified strain rate dependent constitutive model for chalk and porous rock[J]. International Journal of Rock Mechanics and Mining Sciences, 2020, 134: 104406.
[15] Richards M C, Issen K A, Ingraham M D. A coupled elastic constitutive model for high porosity sandstone[J]. International Journal of Rock Mechanics and Mining Sciences, 2022, 150: 104989.
[16] Tomac I, Gutierrez M. Micromechanics of hydraulic fracturing and damage in rock based on DEM modeling[J]. Granular Matter, 2020, 22(3): 1-17.
[17] 李波波, 王忠晖, 任崇鸿, 等. 水—力耦合下煤岩力学特性及损伤本构模型研究[J]. 岩土力学, 2021, 42(2): 315-323. (Li Bobo, Wang Zhonghui, Ren Chonghong, et al. Mechanical properties and damage constitutive model of coal under the coupled hydro-mechanical effect[J]. Rock and Soil Mechanics, 2021, 42(2): 315-323. (in Chinese))
[18] Bian K, Liu J, Zhang W, et al. Mechanical behavior and damage constitutive model of rock subjected to water-weakening effect and uniaxial loading[J]. Rock Mechanics and Rock Engineering, 2019, 52(1): 97-106.
[19] Xiao W J, Zhang D M, Wang X J, et al. Research on microscopic fracture morphology and damage constitutive model of red sandstone under seepage pressure[J]. Natural Resources Research, 2020, 29(5): 3335-3350.
[20] 周科平, 刘维, 周彦龙, 等. 不同渗透力的类充填体力学特性及损伤软化本构模型研究[J]. 岩土力学, 2019, 40(10): 3724-3732. (Zhou Keping, Liu Wei, Zhou Yanlong, et al. Mechanical properties and damage - softening constitutive model of backfill with different osmotic pressures[J]. Rock and Soil Mechanics, 2019, 40(10): 3724-3732. (in Chinese))
[21] Song Z P, Wang T, Wang J B, et al. Uniaxial compression mechanical properties and damage constitutive model of limestone under osmotic pressure[J]. International Journal of Damage Mechanics, 2022,31(4):557-581.
[22] Lemaitre J. How to use damage mechanics[J]. Nuclear Engineering and Design, 1984, 80(2): 233-245.
[23] 贾健,陶铁军,田兴朝,等.横观各向同性板岩的三轴压缩损伤本构模型[J].地下空间与工程学报,2025,21(2):393-402.(Jia Jian,Tao Tiejun,Tian Xingchao,et al.Triaxial compression damage constitutive model of transversely isotropic slate[J].Chinese Journal of Underground Space and Engineering,2025,21(2):393-402.(in Chinese))
[24] 蔡家城,石钰锋,陈焕然,等.强风化泥质粉砂弹塑性损伤本构关系研究[J].地下空间与工程学报,2025,21(增1):31-36.(Cai Jiacheng,Shi Yufeng,Chen Huanran,et al.Study on elastic-plastic damage constitutive relation of strongly weathered argillaceous silt[J].Chinese Journal of Underground Space and Engineering,2025,21(Supp.1):31-36.(in Chinese))
[25] Biot M A. General theory of three-dimensional consolidation[J]. Journal of Applied Physics, 1941, 12(2): 155-164.
[26] Civan F. Parameterization of Biot-Willis effective stress coefficient for deformation and alteration of porous rocks[J]. Transport in Porous Media, 2021, 138(2): 337-368.
[27] Chen K. Constitutive model of rock triaxial damage based on the rock strength statistics[J]. International Journal of Damage Mechanics,2020,29,(10):1487-1511.
[28] Chen K, Cudmani R, Pena Olarte A A. Validation of a damage constitutive model based on logistic model dedicated to the mechanical behavior of the rock[J]. Geomechanics and Geophysics for Geo-Energy and Geo-Resources, 2024, 10(1): 1-20.
[29] Zhou C T, Zhang K, Wang H B, et al. A plastic strain based statistical damage model for brittle to ductile behaviour of rocks[J]. Geomechanics and Engineering, 2020, 21(4): 349-356.
[30] 张嘉威, 章杨松, 李晓昭. 考虑渐进性破坏的岩石损伤本构模型研究[J]. 地下空间与工程学报, 2015, 11(6): 1528-1532. (Zhang Jiawei, Zhang Yangsong, Li Xiaozhao. Study on damage constitutive model of rock considering progressive failure[J]. Chinese Journal of Underground Space and Engineering, 2015, 11(6): 1528-1532. (in Chinese))
[31] Deng J, Gu D. On a statistical damage constitutive model for rock materials[J]. Computersand Geosciences, 2011, 37(2): 122-128.
[32] 邓华锋, 胡安龙, 李建林, 等. 水岩作用下砂岩劣化损伤统计本构模型[J]. 岩土力学, 2017, 38(3): 631-639. (Deng Huafeng, Hu Anlong, Li Jianlin, et al. Statistical damage constitutive model of sandstone under water-rock interaction[J]. Rock and Soil Mechanics, 2017, 38(3): 631-639. (in Chinese))
[33] 刘保国, 于明圆, 孙景来, 等. 水—力耦合作用下页岩力学特性及其损伤本构模型研究[J]. 岩石力学与工程学报, 2023, 42(5): 1041-1054. (Liu Baoguo, Yu Mingyuan, Sun Jinglai, et al. Study on mechanical properties and damage constitutive model of shale under hydro-mechanical coupling[J]. Chinese Journal of Rock Mechanics and Engineering, 2023, 42(5): 1041-1054. (in Chinese))

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