Geotechnical and Geological Engineering

, Volume 36, Issue 4, pp 2637–2647 | Cite as

A MHC–NF Coupling Model for Water Inrush from Collapse Columns and Its Numerical Simulation

  • Weitao Liu
  • Jiyuan ZhaoEmail author
  • Qiang Li
Original paper


This paper proposes a mechanical–hydrological–chemical–nonlinear flow (MHC–NF) coupling model for the complex geological systems of water inrush from collapse columns. Firstly, the governing equations for the MHC–NF coupling model are carried out, which couples mechanical equation, nonlinear water flow equation and chemical equation. The nonlinear water flow equation couples Darcy’s law, Brinkman equation and Navier–Stokes equation. Secondly, numerical simulation of this model is carried out by the powerful partial differential equation-based finite element of COMSOL Multiphysics. Finally, the impacts of different PH values of groundwater on damage evolution are simulated. The simulation results indicate that: (1) the water velocity increases with time increasing. After the water inrush channel is formed, due to the influence of nonlinear flow, the water velocity has a step change instead of lineal change at the junction of collapse columns and tunnel; (2) the water velocity has great influence on chemical damage. The time–space change law of chemical damage is similar to that of water velocity in collapse columns; (3) the chemical damage and total damage increase with the PH value of groundwater increasing. The MHC–NF coupling model can represent the complex geological systems of collapse columns in coal mines, which can provide a new kind of model for the numerical simulation of water inrush from collapse columns.


MHC–NF Water inrush Collapse columns Numerical simulation Chemical damage 



This work was supported by the National Natural science Foundation of China (Grant 51274135) and Graduate student science and technology innovation project of Shandong University of Science and Technology (SDKDYC180101).


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© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Shandong University of Science and TechnologyQingdaoChina

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