A flow erosion model of water inrush was developed that couples the Darcy, Forchheimer, and Navier–Stokes fields under the theory of continuum mechanics. Water flow and fluidized particles were regarded as single-phase mixed fluids based on the fundamentals of flow transition (aquifer laminar flow to turbulent flow) being the main cause of mine water inrush; the effects of rock disintegration and the coupled effects of flow and erosion were incorporated. The water source of the aquifer, water-inrush channel of the fracture network, and flow path of the slope roadway export were organically connected in a unified flow field. The weak integral forms of the Darcy, Forchheimer, and Navier–Stokes equations were constructed according to the principle of virtual displacement. The convective terms were discretized by the finite volume method and the other terms were discretized by the finite element method; the calculation source program was developed based on the finite element language and its compiler (FELAC). The source program system was used to numerically simulate water inrush in a fractured zone in the Jiangjiawan Mine. It reproduced the entire dynamic process of a water inrush and revealed the distribution and variation characteristics of the pressure field, velocity field, porosity, and concentration, as well as the mechanisms underlying the sudden change in water flow.

在连续介质力学的理论基础上，开发了一种水冲流侵蚀模型，该模型将达西，福希海默和纳维–斯托克斯场耦合在一起。水流和流化颗粒被认为是单相混合流体，这是导致矿井涌水的主要原因（从含水层流到湍流）。结合了岩石崩解的影响以及流动与侵蚀的耦合作用。含水层的水源，裂隙网的突水通道和斜坡巷道出口的流路在统一的流场中有机地相连。根据虚拟位移原理构造了Darcy，Forchheimer和Navier-Stokes方程的弱积分形式。对流项用有限体积法离散化，其他项用有限元方法离散化。计算源程序是基于有限元语言及其编译器（FELAC）开发的。源程序系统用于数值模拟姜家湾矿山压裂带中的突水。它再现了整个突水的动态过程，揭示了压力场，速度场，孔隙度和浓度的分布和变化特征，以及水流突然变化的潜在机理。源程序系统用于数值模拟姜家湾矿山压裂带中的突水。它再现了整个突水的动态过程，揭示了压力场，速度场，孔隙度和浓度的分布和变化特征，以及水流突然变化的潜在机理。源程序系统用于数值模拟姜家湾矿山压裂带中的突水。它再现了整个突水的动态过程，揭示了压力场，速度场，孔隙度和浓度的分布和变化特征，以及水流突然变化的潜在机理。