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

doi:10.20174/j.JUSE.2026.01.07

Chinese Journal of Underground Space and Engineering >

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

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

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

Expand

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

Fold

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

Cite this article

Li Xinwei , Yao Zhishu , Lu Lu , Huang Xianwen , Ye Ming . Study on the Mechanical Properties and Constitutive Model of Weakly Cemented Sandstone under Hydraulic Coupling[J]. Chinese Journal of Underground Space and Engineering, 2026 , 22(1) : 60 -71 . DOI: 10.20174/j.JUSE.2026.01.07

References

[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))

Options

Outlines

模态框（Modal）标题

Abstract

Cite this article

References