Non-linear Seepage Property of Broken Rock with Mass Loss

Hailing Kong, Luzhen Wang, Qiongwei Huang, Bing Xu, Penghuan Chen, Dan Zhang

Abstract


In civil engineering, water seepage in broken rock is always nonlinear, instable and time-varying, seepage parameters gradually vary after external disturbance, the dynamic responses of the non-linear dynamic model mutate, and water inrush will be induced. As observed in experiments and scenes, large number of fine particles in broken geological structures migrated and washed away with water flow, which is the most important reason resulting in water inrush. Therefore, it is necessary to study the non-linear seepage property of broken rock considering mass loss. A seepage dynamic model of broken rock with mass loss was established, containing the mass conservation equations, momentum conservation equation, the relations between permeability parameters (including permeability, the non-Darcy flow  factor and the acceleration coefficient) and porosity, the formula of the rate of mass loss expressed by porosity and time, and so on. Based on the block diagram of interrelationships among variables, the calculating flow for the response of the dynamic system was designed, the computational methods for physical quantities of elements and nodes were constructed by the Fast Explicit Finite Difference Method. The spatial and temporal distributions of the rate of mass loss, porosity, permeability parameters and seepage velocity were analyzed by programs in Fortran.


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