Abstract

The problem of suspension filtration in a porous medium consisting of active and passive zones is posed and numerically solved in the case of a multistage kinetics of particle deposition. Some mathematical model of the process is proposed that is based on the general conservation laws and additional phenomenological assumptions. The influence of the multistage kinetics of particle deposition on the filtration characteristics is considered. We establish that, as the parameter characterizing the duration of the stage of formation of the irreversible deposition increases, a region with complete saturation of the passive zone capacity appears near the filter inlet. No further increase of the deposition concentration in the passive zone is observed, while the process of particles movement in suspension and deposition of them in the active zone continues.

中文翻译：

---

多孔介质中悬浮过滤的某些模型解释了沉积动力学的两区和多级特征

摘要

在颗粒沉积的多阶段动力学的情况下，提出并在数值上解决了在由主动区和被动区组成的多孔介质中进行悬浮过滤的问题。提出了一些基于一般守恒定律和其他现象学假设的过程数学模型。考虑了颗粒沉积的多阶段动力学对过滤特性的影响。我们确定，随着表征不可逆沉积形成阶段持续时间的参数的增加，在过滤器入口附近会出现一个无源区容量完全饱和的区域。没有观察到被动区沉积浓度的进一步增加，