| 郭嘉,牛瑞,师大朋,刘衍文,郑涛,李辉.基于半解析理论的隧道突涌水量计算模型[J].矿产勘查,2025,16(11):2508-2514 |
| 基于半解析理论的隧道突涌水量计算模型 |
| Calculation model of tunnel water inflow based on semi-analytical theory |
| 投稿时间：2024-04-23 |
| DOI：10.20008/j.kckc.202511012 |
| 中文关键词: 隧道涌水量 半解析法 隧道工程 理论模型 |
| 英文关键词: water inrush semi-analytical method tunnel engineering theoretical modeling |
| 基金项目:本文受泰山产业领军人才工程(tscy20230660)资助。 |
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| 中文摘要: |
| 为解决复杂地质条件下隧道突涌水量预测精度低与计算繁琐的问题，本文基于经典水文学原理，建立了 一种适用于不同水文地质条件的隧道涌水量半解析计算模型。模型通过将有界含水层转化为无界恒定 流问题，并结合叠加原理与卷积积分方法推导出涌水量随时间变化的理论表达式。采用本文模型,系统分 析了渗透系数、含水层厚度、贮水率、隧道半径及初始水位等关键参数对隧道涌水量的敏感性。最后依托 两个典型隧道涌水案例与本文方法结果进行对比验证。结果表明:隧道涌水量与渗透系数成正比；含水 层越厚，储水量越大，涌水量达到稳定所需的时间越长；与其他参数相比，贮水率对涌水量的影响不显著； 实测隧道涌水量与模型计算结果吻合度较高，证明本文方法可行。研究结果不仅对隧道涌水量的预测具 有一定参考意义，而且可根据实测涌水量反算现场水文地质参数。 |
| 英文摘要: |
| To address the challenges of low prediction accuracy and computational complexity in forecastingtunnel water surges under complex geological conditions, this study presents a semi-analytical model for tunnel in.flow applicable to a wide range of hydrogeological settings. The model transforms a bounded aquifer into an equiva.lent unbounded steady-flow problem and employs the superposition principle together with convolution integrals toderive a closed-form time-dependent expression for inflow. Based on this formulation, a parametric sensitivityanalysis is conducted to examine the effects of hydraulic conductivity, aquifer thickness, specific yield, tunnel ra.dius, and initial head on inflow evolution. The validity of the model is further evaluated through comparison with measured inflow data from two representative tunnel cases. Results indicate that inflow is proportional to hydraulicconductivity; a larger aquifer thickness increases storage capacity and prolongs the time required to approach quasi-steady conditions; compared to other parameters, specific yield exerts a relatively minor influence; and the model’s predicted inflow agrees closely with observed values. These outcomes verify the feasibility and reliability of the pro.posed method. The developed semi-analytical model not only offers an effective tool for predicting tunnel inflow un.der diverse geological conditions, but also enables inverse estimation of in situ hydrogeological parameters frommeasured inflow data. |
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