一种新的岩石各向异性蠕变-渗透率模型

刘雪莹; 俞缙; 周先齐; 姚玮; 任崇鸿; 蔡燕燕

doi:10.11779/CJGE20240449

一种新的岩石各向异性蠕变-渗透率模型 English Version

刘雪莹^{1, 2,},
俞缙^1, ,,
周先齐³,
姚玮³,
任崇鸿¹,
蔡燕燕¹

1.
华侨大学福建省隧道与城市地下空间工程技术研究中心, 福建厦门 361021
2.
辽宁工程技术大学力学与工程学院, 辽宁阜新 123000
3.
厦门理工学院土木工程与建筑学院, 福建厦门 361024

基金项目:

国家自然科学基金重点项目 V2444220

国家自然科学基金项目 52374090

国家自然科学基金项目 42077254

福建省科技计划项目 2022Y0029

福建省科技计划项目 2022I0014

详细信息

作者简介:
刘雪莹(1992—)女，博士，讲师，主要从事岩土力学与地下工程方面研究工作。E-mail: lxy_920818@163.com

通讯作者:
俞缙, E-mail：bugyu0717@163.com

中图分类号: TU452
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出版历程
- 收稿日期: 2024-05-08
- 网络出版日期: 2024-10-22
- 刊出日期: 2025-01-31

An anisotropic creep-permeability model for rock

1.
Fujian Engineering Technology Research Center for Tunnel and Underground Space, Huaqiao University, Xiamen 361021, China
2.
School of Mechanics and Engineering, Liaoning Technical University, Fuxin 123000, China
3.
School of Civil Engineering and Architecture, Xiamen Institute of Technology, Xiamen 361024, China

摘要

摘要: 地下工程服役期较长，富水环境下围岩蠕变变形加剧，三向应力下围岩渗透性各向异性特征凸显，为了描述围岩蠕变过程中渗透率各向异性特征，将岩石简化为立方体模型，结合蠕变曲线特征分阶段建立岩石正交各向异性蠕变-渗透率模型。黏弹性阶段定义裂隙与岩石的黏滞系数比、引入侧向影响系数表示侧向应力对裂隙开度影响，黏塑性阶段引入表示裂隙对渗流通道影响的修正系数，结合岩石各向异性蠕变损伤模型、立方定律、含裂隙岩石渗透率方程，建立岩石正交各向异性蠕变-渗透率模型。利用真三轴条件下岩石蠕变-渗流试验结果对各向异性蠕变-渗透率模型进行验证，模拟了不同条件下渗透率演化。结果表明：与传统Kozeny-Carman(K-C)模型及已有各向异性蠕变-渗透率模型相比，提出的正交各向异性蠕变-渗透率模型精度更高，可以描述黏弹性阶段渗透率因岩石孔裂隙逐渐被压密而逐渐降低、加速蠕变阶段渗透率在裂隙逐渐汇聚影响下突增的变化趋势。对正交各向异性蠕变-渗透率模型的关键参数进行了敏感性分析，随着裂隙与岩石的黏滞系数比增加，渗透率衰减越快，渗透率稳定值越低，随着侧向影响系数越高渗透率初始衰减速率越高，渗透率稳定值越低；黏塑性阶段修正系数越高，加速蠕变阶段渗透率开始大幅增加。
- 蠕变-渗流 /
- 蠕变损伤模型 /
- 渗透率模型 /
- 正交各向异性
Abstract: The service life of underground engineering is so long that the creep deformation of the surrounding rock can be intensified in the water environment. The permeability shows an anisotropic trend under the three-dimension stresses. The rock is simplified as a cube model, and a rock creep permeability model is established in stages based on the creep characteristics. At the viscoelastic stage, the ratio of viscosity coefficients between cracks and rocks is defined, and a lateral influence coefficient is introduced to represent the influence of lateral stress on crack opening. In the viscoplastic stage, a correction coefficient is defined to represent the influences of cracks on seepage channels. An anisotropic creep-permeability model is established combined with the anisotropic creep damage model for rock, cubic law, and the permeability model for fractured rock. The creep-seepage tests under true triaxial conditions are performed, and the anisotropic creep-permeability model is validated. The parameters can be determined and the permeability evolution under different conditions is analyzed. The proposed model shows the higher accuracy by comparing with the traditional K-C model and the previously anisotropic creep-permeability model. It can be used to describe the trend that the permeability decreases due to the gradual compaction of pores and cracks at the viscoelastic stage, and it increases suddenly caused by the gradual convergence of cracks at the accelerated creep stage. The sensitivity analysis is conducted on the parameters in the anisotropic creep-permeability model. As the viscosity coefficient ratio increases, the permeability decays fast and the stable permeability decreases. As the viscosity coefficient increases, the initial decay rate of permeability increases, and the stable permeability decreases. At the accelerated creep stage, as the correction coefficient increases, the permeability increases significantly.
- creep-seepage /
- creep model /
- permeability model /
- orthogonal anisotropy

HTML全文

图 1 岩石简化示意图

Figure 1. Simplified schematic diagram of rock

下载: 全尺寸图片幻灯片

图 2 三维应力状态下裂隙渗流模型

Figure 2. Seepage model for a fracture under 3D stress

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图 3 不同类型裂隙

Figure 3. Different types of cracks

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图 4 不同渗透率模型对比图

Figure 4. Comparison among different permeability models

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图 5 σ₃=5 MPa，σ₂=20 MPa蠕变条件下渗透率曲线

Figure 5. Permeability curves under of σ₃=5 MPa and σ₂=20 MPa

下载: 全尺寸图片幻灯片

图 6 黏弹性阶段参数ξ^e， $\beta _{\text{1}}^{\text{e}}$ 对渗透率演化曲线影响

Figure 6. Effects of parameters ξ^e and $\beta _{\text{1}}^{\text{e}}$ on permeability curves at viscoelastic stages

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图 7 黏塑性阶段修正系数对渗透率演化曲线影响

Figure 7. Effects of correction parameter on permeability curves at viscoplastic stages

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表 1 σ₃=5 MPa，σ₂=20 MPa条件下渗透率模型参数

Table 1 Parameters of permeability model under σ₃=5 MPa and σ₂=20 MPa

蠕变应力比	ξ^e	$\beta _1^{\text{e}}$	$\beta _2^{\text{e}}$	$\beta _3^{\text{e}}$	$\omega _1^{\text{p}}$	$\omega _2^{\text{p}}$	$\omega _3^{\text{p}}$
0.4	18	9.81	9.81	9.81
0.5		4.18	4.95	4.95
0.6		2.06	4.30	4.30
0.7		0.94	3.37	3.37
0.8					11.01	13.85	13.85
0.9					8.72	8.72	8.72
0.95					0.81	2.11	2.11

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