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根据质量守恒定律,针对单元体中移动颗粒的质量守恒,得到了管涌过程中移动颗粒的连续性方程;颗粒的运动与流体的流动相互关联,结合渗流的连续性方程,得到了管涌发展过程中的流固耦合模型;根据颗粒流失与渗流场变化的相互关系,对渗透系数、单位流失量、孔隙率等参数的联系进行量化,结合初始条件与边界条件,即可实现耦合模型的求解。最后,针对一维管涌情况,利用分时步法对模型进行解耦,以有限差分法对模型进行离散并成功求解,分析了管涌过程中颗粒流失、流速、孔隙率以及剩余颗粒量等参数的变化规律;在不同水力梯度下进行重复试验,分析了水力梯度在管涌发展中对各参数变化规律的影响。
According to the law of mass conservation, the continuity equation of moving particles is obtained for the mass conservation of moving particles in a unit cell. The motion of particles and the flow of fluid are interrelated. Combined with the continuity equation of seepage flow, According to the relationship between particle loss and seepage field changes, the relationship between permeability coefficient, unit loss, porosity and other parameters is quantified. Combining the initial conditions and the boundary conditions, the coupled model can be solved. Finally, according to the situation of one-dimensional pipe-flow, the model is decoupled by time-sharing step method, the model is discretized and solved by finite difference method, and the parameters of particle flow, flow rate, porosity and residual particle quantity are analyzed. The law of variation was studied. Repeated experiments were carried out under different hydraulic gradients, and the influence of hydraulic gradient on the variation of parameters was analyzed.