To get a deeper understanding on the synergistic enhancement effect of low frequency artificial seismic wave on foam stability, a micro-kinetic model of enhanced foam stability under low frequency artificial seismic wave is established based on a vertical liquid film drainage model and elastic wave theory. The model is solved by non-dimensional transformation of the high order partial differential equations and a compound solution of implicit and explicit differences and is verified to be accurate. The foam film thickness, surfactant concentration distribution and drainage velocity under the action of low frequency artificial seismic wave are quantitatively analyzed. The research shows that low-frequency vibration can reduce the difference between the maximum and minimum concentrations of surfactant in the foam liquid film at the later stage of drainage, enhance the effect of Marangoni effect, and improve the stability of the foam liquid film. When the vibration frequency is close to the natural frequency of the foam liquid film, the vibration effect is the best, and the best vibration frequency is about 50 Hz. The higher the vibration acceleration, the faster the recovery rate of surfactant concentration in the foam liquid film is. The higher the vibration acceleration, the stronger the ability of Marangoni effect to delay the drainage of foam liquid film and the better the foam stability is. It is not the higher the vibration acceleration, the better. The best vibration acceleration is about 0.5 times of gravity acceleration. Reasonable vibration parameters would greatly enhance the effect of Marangoni effect. The smaller the initial concentration of surfactant, the better the vibration works in enhancing Marangoni effect.

为了深入了解低频人工地震波对泡沫稳定性的协同增效作用，基于垂直液膜排水模型和弹性波理论，建立了低频人工地震波增强泡沫稳定性的微观动力学模型。该模型通过高阶偏微分方程的无量纲变换以及隐式和显式差分的复合解决方案进行求解，并被证明是准确的。定量分析了低频人工地震波作用下的泡沫膜厚度，表面活性剂浓度分布和排水速度。研究表明，低频振动可以减小排水后期泡沫液膜中表面活性剂的最大浓度和最小浓度之差，增强Marangoni效应，并提高泡沫液膜的稳定性。当振动频率接近泡沫液膜的固有频率时，振动效果最佳，最佳振动频率约为50Hz。振动加速度越高，泡沫液膜中表面活性剂浓度的恢复速度越快。振动加速度越高，Marangoni效应延迟泡沫液膜排水的能力越强，泡沫稳定性越好。振动加速度不是越高越好。最佳的振动加速度约为0。重力加速度的5倍。合理的振动参数将大大增强Marangoni效应的效果。表面活性剂的初始浓度越小，振动在增强Marangoni效果上的作用越好。