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Mathematical modeling of the cyclical emptying and filling of water distribution system in a deep mine
Tunnelling and Underground Space Technology ( IF 6.7 ) Pub Date : 2025-01-12 , DOI: 10.1016/j.tust.2025.106375
Sergey Bublik, Dmitry Olkhovsky, Mikhail Semin, Oleg Parshakov, Artem Zaitsev

This study presents a novel approach to analyzing complex water distribution system within deep mines, focusing on water supply through multiple shafts and the dynamic behavior of water flow. We begin with an initial analysis derived from experimental measurements of flow rates and pressures within the mine’s water distribution system. Observations revealed a cyclical pattern of system emptying and filling. To address the intricacies of such dynamic systems, we propose a one-dimensional mathematical model that integrates water hammer theory with volumetric water content transfer equations. This model accommodates the transient operation of shut-off and control devices, offering a comprehensive framework for simulating the mine’s water distribution system. The novelty of the model consists in the proposed method of calculating the water fraction in the pipelines, as well as in the introduced boundary condition on the pressure reducing valve. Through numerical simulations, we calibrated and validated the model against experimental data, successfully identifying critical periods and locations of system emptying and filling. The findings provide valuable insights into the management of water distribution system in deep mines, enhancing our understanding of their complex, non-stationary behavior.

中文翻译:


深井配水系统循环排空和充注的数学建模



本研究提出了一种分析深部矿井中复杂配水系统的新方法,重点关注通过多个竖井的供水和水流的动态行为。我们首先对矿井配水系统内的流速和压力进行实验测量,得出初步分析。观察揭示了系统排空和填充的周期性模式。为了解决这种动态系统的复杂性,我们提出了一个一维数学模型,该模型将水锤理论与体积含水量传递方程相结合。该模型适用于关闭和控制设备的瞬态操作,为模拟矿井的配水系统提供了一个全面的框架。该模型的新颖之处在于所提出的计算管道中水分数的方法,以及在减压阀上引入的边界条件。通过数值模拟,我们根据实验数据校准和验证了模型,成功确定了系统排空和填充的关键时期和位置。这些发现为深矿配水系统的管理提供了宝贵的见解,增强了我们对它们复杂的非平稳行为的理解。
更新日期:2025-01-12
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