Asymptotics for filtration of polydisperse suspension with small impurities

• 作者: L.I.KUZMINA Y.V.OSIPOV T.N.GORBUNOVA
• 来源期刊: 应用数学和力学（英文版）
• 学科: 物理学
• 年，卷（期）: 2021,（1）
• 页码范围: 109-126
• 页数: 18页
• 分类号: O368
• 语种: 英文

摘要

A model for deep bed filtration of a polydisperse suspension with small impurities in a porous medium is considered.Different suspended particles move with the same velocity as the carrier water and get blocked in the pore throats due to the size-exclusion mechanism of particle retention.A solution of the model in the form of a traveling wave is obtained.The global exact solution for a multiparticle filtration with one high concentration and several low concentrations of suspended particles is obtained in an explicit form.The analytic solutions for a bidisperse suspension with large and small particles are constructed.The profiles of the retained small particles change monotony with time.The global asymptotics for the filtration of a polydisperse suspension with small kinetic rates is constructed in the whole filtration zone.