冻胀力效应下寒区圆形隧洞稳定性的弹塑性分析

doi:10.16265/j.cnki.issn1003-3033.2022.S1.0349

中国安全科学学报 ›› 2022, Vol. 32 ›› Issue (S1): 127-133.doi: 10.16265/j.cnki.issn1003-3033.2022.S1.0349

冻胀力效应下寒区圆形隧洞稳定性的弹塑性分析

徐鹏¹(), 张佳华¹^,²^,³, 张道兵¹, 肖超⁴^,⁵

¹ 湖南科技大学资源环境与安全工程学院, 湖南湘潭 411201
² 湖南科技大学南方煤矿瓦斯与顶板灾害预防控制安全生产重点实验室, 湖南湘潭 411201
³ 湖南科技大学煤矿安全开采技术湖南省重点实验室, 湖南湘潭 411201
⁴ 中建隧道建设有限公司, 重庆 401320
⁵ 中国建筑第五工程局有限公司,湖南长沙 410004

收稿日期:2022-01-11 修回日期:2022-04-26 出版日期:2022-06-30 发布日期:2022-12-30
作者简介:
徐鹏 (1997—),男,湖南冷水江人,硕士研究生,研究方向为地下工程。E-mail: 20010101011@mail.hnust.edu.cn。
张佳华讲师
张道兵教授
基金资助:
国家自然科学基金资助(51804113); 国家自然科学基金资助(52074116); 湖南省研究生科研创新项目(QL20210234)

Elastic-plastic analysis of stability of cold-region circular tunnels subjected to frost heaving force

XU Peng¹(), ZHANG Jiahua¹^,²^,³, ZHANG Daobing¹, XIAO Chao⁴^,⁵

¹ School of Resource Environment and Safety Engineering, Hunan University of Science and Technology, Xiangtan Hunan 411201, China
² Work Safety Key Lab on Prevention and Control of Gas and Roof Disasters for Southern Coal Mines, Hunan University of Science and Technology, Xiangtan Hunan 411201, China
³ Hunan Provincial Key Laboratory of Safe Mining Techniques of Coal Mines, Hunan University of Science and Technology, Xiangtan Hunan 411201, China
⁴ China Construction Tunnel Co., Ltd., Chongqing 401320, China
⁵ China Construction Fifth Engineering Division Co., Ltd., Changsha Hunan 410004, China

Received:2022-01-11 Revised:2022-04-26 Online:2022-06-30 Published:2022-12-30

摘要/Abstract

摘要：

为探讨冻胀力效应对寒区圆形隧洞围岩稳定性的影响,基于考虑冻胀力影响的寒区圆形隧洞稳定性分析模型,采用内边界应力条件(σ_r|_r₌_r₁=σ_r1)推导广义Hoek-Brown强度准则下寒区圆形隧洞塑性区的径向应力、切向应力以及塑性区半径、松动圈半径的弹塑性解。并以实际工程案例为背景,对比分析已有研究方法(即采用外边界应力条件计算),验证内边界应力条件计算方法的可行性和优越性。结果表明:地质强度指标、岩体常数、单轴抗压强度、扰动系数、隧洞开挖半径、冻胀力对寒区圆形隧洞围岩塑性区径向应力、切向应力以及塑性区半径、松动圈半径均有明显影响。其中扰动系数影响比较显著,理想爆破情况(D=0.7)与不考虑扰动情况(D=0)相比较,计算结果相对误差达到32.2%~55.8%。冻胀力的影响非常显著,冻胀力从0增大到1.02 MPa,计算结果相对误差可达到507.1%。如果忽视冻胀力影响会严重低估塑性区的径向应力和切向应力以及高估塑性区范围和松动圈范围。

关键词: 冻胀力, 寒区圆形隧洞, 弹塑性, 边界应力条件, 广义Hoek-Brown强度准则

Abstract:

In order to explore the stability problem of cold-region circular tunnels subjected to the frost heaving force action, based on a model of circular tunnels considering the effect of the frost-heaving force, the elastic-plastic solutions of radial stress, tangential stress, plastic zone radius and loose zone radius were deduced with the generalized Hoek-Brown strength criterion and the internal boundary stress conditions (σ_r|_r₌_r₁=σ_r1). Based on a project case, the result from this work was compared with those of the existing method (namely the method of external boundary stress conditions), which verified the feasibility of this method. The results show that the geological strength index, rock mass constant, uniaxial compressive strength, disturbance coefficient, tunnel excavation radius and frost heave force have significant effects on the radial stress, tangential stress, plastic zone radius and loose zone radius of cold-region circular tunnels. Among them, the disturbance coefficient has a significant effect. Compared with the ideal blasting condition (D=0.7) and the case without disturbance (D=0), the relative error of the results reaches 32.2%-55.8%. The influence of frost heaving force is very significant. When the frost heaving force varies from 0 to 1.02 MPa, the relative error of the result can reach 507.1%. If the influence of frost heave force was ignored, the radial stress and tangential stress in the plastic zone would be seriously underestimated, and the range of the plastic zone and the loose zone would be substantially overestimated.

Key words: frost heaving force, cold-region tunnel, boundary stress condition, generalized Hoek-Brown strength criterion, elastic-plastic solution

徐鹏, 张佳华, 张道兵, 肖超. 冻胀力效应下寒区圆形隧洞稳定性的弹塑性分析[J]. 中国安全科学学报, 2022, 32(S1): 127-133.

XU Peng, ZHANG Jiahua, ZHANG Daobing, XIAO Chao. Elastic-plastic analysis of stability of cold-region circular tunnels subjected to frost heaving force[J]. China Safety Science Journal, 2022, 32(S1): 127-133.

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r₀/m	r₁/m	r₂/m	G/MPa	m_i	I_GS
4.5	5.5	9	20	8	45
σ_ci/MPa	D	σ_f/MPa	E₁/MPa	μ₁	E₂/MPa
50	0.5	1.02	20 000	0.2	1 000
μ₂	E₃/MPa	μ₃	m_b	s	a
0.35	800	0.33	0.583	0.000 653	0.508

贺耕夫等^[10]	文中
R_p/m	R_p/m	R_l/m
12.85	12.85	9.56

冻胀力效应下寒区圆形隧洞稳定性的弹塑性分析

Elastic-plastic analysis of stability of cold-region circular tunnels subjected to frost heaving force

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