基于应变能平均分布的隧洞最优断面研究

安学旭; 郭新天; 黄荣宾; 陶磊

doi:10.20265/j.cnki.issn.1007-2993.2024-0283

基于应变能平均分布的隧洞最优断面研究

doi: 10.20265/j.cnki.issn.1007-2993.2024-0283

1.
陕西交通职业技术学院，陕西西安　710018
2.
中铁第一勘察设计院集团有限公司, 陕西西安　710043
3.
陕西省引汉济渭工程建设有限公司，陕西西安　710024

基金项目: 陕西省自然科学基金项目（2022JQ-435）；2023年陕西交通职业技术学院科研创新团队资助项目（CX2302）

详细信息

作者简介:
安学旭，男，1989年生，博士，主要从事深部隧洞工程方面教学与科学研究。E-mail：18392572665@163.com

中图分类号: U25
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- 被引次数: 0
出版历程
- 收稿日期: 2024-06-24
- 修回日期: 2024-08-27
- 录用日期: 2024-10-29
- 刊出日期: 2025-08-08

Shape optimization of tunnel section based on the homogenization distribution of surrounding rock strain energy

1.
Shaanxi College of Communications Technology, Xi’an 710018, Shaanxi, China
2.
China Railway First Survey and Design Institute Group Co., Ltd., Xi’an 710043, Shaanxi, China
3.
Hanjiang-to-Weihe River Valley Water Diversion Project Construction Co., Ltd., Xi’an 710024, Shaanxi, China

摘要

摘要: 隧洞断面形状的选型直接影响其围岩稳定性。基于复变函数理论和混合罚函数法，从隧洞围岩应变能分布与其病害之间的关系出发，提出了一种隧洞断面平均应变能最大达到最小化的断面形状优化准则，依托引汉济渭深部硬岩隧洞工程，研究了隧洞径向应变能计算范围与地应力对优化断面形状的影响。结果表明：采用提出的断面形状优化准则对深部马蹄形隧洞断面优化时，径向应变能计算范围取2.0倍隧洞最大半径以上即可。当隧洞断面宽度受限时，该优化准则可显著改善隧洞断面应变能的不均匀分布，且侧压力系数对优化断面形状及其围岩平均应变能整体分布值的影响也较大。当隧洞断面宽度和高度受限时，该优化准则对改善隧洞断面应变能不均匀分布作用有限，且侧压力系数对其优化断面形状的影响也较小，但对其围岩平均应变能整体分布值影响较大。
- 隧道工程 /
- 深部隧洞 /
- 应变能 /
- 断面优化
Abstract: The selection of tunnel section shape directly affects the stability of its surrounding rock. Based on the complex variable function theory and the mixed penalty function method, a shape optimization criterion was proposed that the maximum average strain energy of the tunnel reached the minimum from the perspective of the relationship between the strain energy distribution of the tunnel and its failure characteristics. Combined with the engineering geological data of the deep hard rock tunnel from Hanjiang River to Weihe River, the effects of the radial strain energy calculation range and ground stress on the optimized tunnel section shape were investigated. The results show that: when using the shape optimization criteria developed to optimize the deep horseshoe tunnel, the radial strain energy calculation range should exceed 2.0 times the maximum tunnel radius. For tunnels with limited section width, the criterion significantly improved the uneven strain energy distribution, and the lateral pressure coefficient exhibited a stronger influence on the optimized section shape and overall distribution of surrounding rock average strain energy. When the width and height of the tunnel section are limited, this optimization criterion has limited effect on improving the uneven distribution of the surrounding rock strain energy of the tunnel, and the lateral pressure coefficient has little effect on the optimized section shape, but has a greater impact on the overall distribution of the surrounding rock average strain energy.
- tunnel engineering /
- deep tunnel /
- strain energy /
- shape optimization

HTML全文

图 1 深部硬岩隧洞断面的网格划分示意图

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图 2 深部非圆形隧洞力学计算模型

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图 3 映射后的隧洞断面形状

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图 4 映射隧洞断面形状与原隧洞断面形状

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图 5 径向应变能计算范围与优化断面形状之间的关系

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图 6 原隧洞与优化隧洞的平均应变能曲线

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图 7 侧压力系数与优化断面形状之间的关系

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图 8 原隧洞与优化隧洞对应的平均应变能曲线

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表 1 秦岭岭北段地应力测试结果

σ_x/MPa σ_y/MPa τ_xy/MPa 弹性模量/GPa 泊松比

41.2 49.6 16.7 32.835 0.18

下载: 导出CSV

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