为实现浮选过程和设计的优化，采用水平集方法对浮选池中的微小气泡运移特性进行了模拟，研究了表面张力、黏度和接触角对气泡在与静止和运动颗粒接触过程中运动行为的影响。结果表明，气泡与颗粒接触过程的上浮速度变化分为气泡上浮接触颗粒、气泡-颗粒分离和继续上浮3个阶段，从气泡与运动颗粒接触到产生最大形变的时间比与静止颗粒发生相同作用的时间短0.003 s。在不同阶段气泡的上浮速度与表面张力成正比，与流体黏度成反比，且流体黏度对气泡速度幅度变化的影响要小于表面张力所产生的影响。接触角越大，接触过程中气泡速度变化幅度越小，与运动颗粒相作用的气泡速度变化远小于与静止颗粒作用的气泡速度变化，最大速度相差0.295 m/s。

In order to optimize the flotation process and design, the level set method was used to simulate the migration characteristics of tiny bubbles in the flotation cell. The influence of surface tension, viscosity, and contact angle on the mobility behavior of the bubble in interaction with both static and dynamic particles were investigated. The findings reveale that the bubble rising velocity undergoing contact with the particle can be divided into three stages: bubble-particle contact, bubble-particle separation and sustained rise. The time from the contact between the bubble and the moving particle to the maximum deformation is 0.003 s shorter than the time of the same interaction with stationary particle. During these varying stages, the bubble rising velocity is directly proportional to surface tension and inversely proportional to fluid viscosity, and the influence of the fluid viscosity on the bubble velocity amplitude is smaller than that of the surface tension. The larger the contact angle is, the smaller the change of bubble velocity during the contact process. Moreover, the change of bubble velocity when interacting with dynamic particle is obviously smaller than that observed during interactions with static particle, with a maximum discrepancy of 0.295 m/s.