当前位置: X-MOL 学术Transp Porous Media › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Convective Stability of a Net Mass Flow Through a Horizontal Porous Layer with Immobilization and Clogging
Transport in Porous Media ( IF 2.7 ) Pub Date : 2021-03-28 , DOI: 10.1007/s11242-021-01582-6
Boris S. Maryshev , Lyudmila S. Klimenko

Solutal convection in a horizontal layer filled with porous media with horizontal seepage of a mixture is investigated considering the solute immobilization and clogging. A flow through porous media is modelled within the standard Darcy–Boussinesq model, and the immobilization process is described by the mobile/immobile media (MIM) approach. To describe the clogging process, the present model takes into account and the dependence of media permeability on porosity within the Carman–Kozeny equation. The presence of immobile (or adsorbed) particles of the solute decreases the porosity of media, and porous media become less permeable. The variation of porosity is modelled by a linear function of solute concentration in the immobile phase. We consider the case of high solute concentrations, in which the immobilization is described by the nonlinear MIM (mobile/immobile media) model. As a result, it was shown that the immobilization leads to the stabilization of the homogeneous filtration regime and to slowing down of the perturbation dynamics. The stability maps were plotted in a wide range of system parameters. The results showed that for some specific value of clean media porosity the system becomes most unstable and dynamics of perturbations (frequency of oscillations) is most intensive. This value corresponds to the minimal effect of porosity change to variation of permeability due to the immobilization.



中文翻译:

固定和堵塞情况下净水流通过水平多孔层的对流稳定性

考虑溶质的固定和堵塞,研究了在水平层中充满多孔介质且混合物水平渗流的溶质对流问题。通过标准Darcy–Boussinesq模型对通过多孔介质的流动进行建模,并通过移动/固定介质(MIM)方法描述固定过程。为了描述堵塞过程,本模型考虑了Carman-Kozeny方程中介质渗透率对孔隙度的依赖性。溶质的固定(或吸附)颗粒的存在会降低介质的孔隙率,并且多孔介质的渗透性会降低。孔隙率的变化是通过固定相中溶质浓度的线性函数来建模的。我们考虑高溶质浓度的情况,其中固定由非线性MIM(移动/固定媒体)模型描述。结果表明,固定化导致均质过滤方案的稳定和扰动动力学的减慢。在各种系统参数中绘制了稳定性图。结果表明,对于某些特定的清洁介质孔隙率值,系统变得最不稳定,并且扰动动力学(振荡频率)最密集。该值对应于孔隙率变化对由于固定引起的渗透率变化的最小影响。在各种系统参数中绘制了稳定性图。结果表明,对于清洁介质孔隙率的某些特定值,系统变得最不稳定,并且扰动动力学(振荡频率)最密集。该值对应于孔隙率变化对由于固定引起的渗透率变化的最小影响。在各种系统参数中绘制了稳定性图。结果表明,对于某些特定的清洁介质孔隙率值,系统变得最不稳定,并且扰动动力学(振荡频率)最密集。该值对应于孔隙率变化对由于固定引起的渗透率变化的最小影响。

更新日期:2021-03-29
down
wechat
bug