This paper establishes a microchannel model based on the pore scale distribution characteristics of natural cores from Daqing Oilfield. It considers the deformation and flow characteristics of the dispersed and continuous phases in the heterogeneous system, builds a flow model by the phase field method, and solves it by the finite element method. The paper also simulates the generation of dispersed phase particles in the microchannel, realizes particle sorting, and studies the effect of the matching coefficient and pore-throat ratio on the plugging performance of particles in the microscopic pore-throat structure. The results show that when the particles are elastically plugged in the microscopic pore-throat structure, the pressure at the entrance of the pore throat changes periodically with the migration of the particles through the pore throat. The optimal matching coefficient between the particles and the pore throat is [1.0, 1.4). In this interval, the particles can be temporarily plugged at the entrance of the pore throat and recover their original shape after deformation and migration through the pore throat. When the pore diameter is the same, a larger matching coefficient and pore-throat ratio indicate greater pressure of particles through the pore throat, and larger particle size reflects a smaller critical value of particles through the pore throat.