Hou Xian'gang, Shi Wenhao, Yang Tianhong
Center of Rock Instability and Seismicity Research, School of Resources and Civil Engineering, Northeastern University Shenyang 110819 China
Key Laboratory of Ministry of Education on Safe Mining of Deep Metal Mines, Northeastern University Shenyang 110819 China
RSC Adv. 2018 Jan 5;8(3):1656-1665. doi: 10.1039/c7ra11344g. eCollection 2018 Jan 2.
Water inrush induced by the karst collapse column (KCC) is a great threat to coal mine safety. In this study, a non-linear flow model that couples three flow types is built based on flow transition from laminar flow in the aquifer to turbulent flow in the mine roadways during the process of water inrush induced by KCC. The proposed model couples Darcy flow, Forchheimer flow, and turbulent flow, and is then used to simulate the flow behavior of water inrush induced by KCC. In particular, the "3.1" water inrush incident from the coal seam floor in the Luotuoshan coal mine, China, is numerically investigated. The numerical results show that with the increase of the inrush flow rate, Forchheimer flow in the water inrush channel is first controlled by viscous resistance, then affected by both viscous resistance and inertial resistance, and finally controlled by inertial resistance. Therefore, water inrush induced by KCC is a dynamic process with a transition from laminar to turbulent. The Forchheimer equation proved to be applicable in describing the high-velocity non-linear flow, and can also reflect the intermediate state of the flow translation from laminar flow in the aquifer to turbulent flow in the roadway during the water inrush process.
岩溶陷落柱引发的突水对煤矿安全构成巨大威胁。在本研究中，基于岩溶陷落柱突水过程中从含水层中的层流到矿井巷道中的紊流的流动转变，建立了一个耦合三种流动类型的非线性流动模型。所提出的模型耦合了达西流、福希海默流和紊流，然后用于模拟岩溶陷落柱突水的流动行为。具体而言，对中国骆驼山煤矿煤层底板“3·1”突水事件进行了数值研究。数值结果表明，随着突水流速的增加，突水通道中的福希海默流首先受粘性阻力控制，然后受粘性阻力和惯性阻力共同影响，最终受惯性阻力控制。因此，岩溶陷落柱突水是一个从层流到紊流转变的动态过程。事实证明，福希海默方程适用于描述高速非线性流动，并且还能反映突水过程中从含水层中的层流到巷道中的紊流的流动转变中间状态。
