考虑软体和硬体开度的岩体单裂隙渗流与法向应力耦合模型研究

doi:10.13722/j.cnki.jrme.2022.0310

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摘要岩体裂隙渗流与法向应力耦合机理是裂隙岩体水力耦合分析的重要基础。岩体裂隙法向应力与渗透性曲线呈现出的非线性变化特征随法向应力增加往往有显著差别：低应力条件下裂隙渗透性急剧下降，而高应力条件下裂隙渗透性减少较为缓慢。目前，传统数学模型难以描述低应力和高应力条件下裂隙渗透性变化的差异性。因此，基于双弹簧Hooke模型(two-part Hooke?s model，简称TPHM)，将裂隙开度分为硬体开度和软体开度2个部分，分别考虑低应力和高应力条件下软体开度与硬体开度对岩体裂隙变形与渗流特性的影响，建立岩体裂隙渗流与法向应力耦合数学方程。采用3组加载条件下的花岗岩裂隙水力耦合试验数据验证理论模型，结果表明理论模型与实验数据基本一致，且优于负指数模型、幂函数模型以及对数模型，指出了软体和硬体开度定量描述岩体裂隙非线性水力耦合特性的有效性，揭示了低应力状态下软体开度对岩体裂隙渗透性变化的主要控制作用。

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关键词 ：岩石力学, 单裂隙, 法向应力, 渗流, 双弹簧Hooke模型

Abstract：The coupling mechanism of rock mass fracture seepage and normal stress is an important basis for hydro-mechanical coupling analysis of fractured rock mass. The normal stress and permeability curves of rock mass fracture often show nonlinear characteristics，and there is a significant difference with the increase of normal stress：the fracture permeability decreases sharply under low stress conditions，while the fracture permeability decreases slowly under high stress conditions. At present，traditional mathematical models can not describe the difference of fracture permeability under low stress and high stress. Therefore，based on two-part Hooke?s Model(TPHM)，the fracture closure is divided into two parts：the hard closure and the soft closure. The influence of the soft closure and the hard closure on the deformation and seepage characteristics of rock mass fracture under low stress and high stress conditions is considered respectively，and the coupling mathematical equation of rock mass fracture seepage and normal stress is established. Three groups of hydro-mechanical coupling test data under loading condition of granite fractures were used to verify the theoretical model. The results show that the theoretical model is basically consistent with the experimental data，and better than the negative exponential model，power function model and logarithmic model，indicating the effectiveness of soft and hard aperture in quantitatively describing the nonlinear hydro-mechanical coupling characteristics of rock mass fractures. The main control effect of soft aperture on rock fracture permeability under low stress state is revealed.

Key words： rock mechanics single fracture normal stress seepage two-part Hooke?s model

引用本文:

杨健航1，2，叶祖洋1，2，黄诗冰1，2，程爱平1，2. 考虑软体和硬体开度的岩体单裂隙渗流与法向应力耦合模型研究[J]. 岩石力学与工程学报, 2023, 42(S1): 3473-3480.
YANG Jianhang1，2，YE Zuyang1，2，HUANG Shibing1，2，CHENG Aiping1，2. Research on coupling model of single fracture seepage and normal stress #br# of rock mass considering the soft and hard aperture. , 2023, 42(S1): 3473-3480.

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https://rockmech.whrsm.ac.cn/CN/10.13722/j.cnki.jrme.2022.0310 或 https://rockmech.whrsm.ac.cn/CN/Y2023/V42/IS1/3473