Assessment of Colloid Filtration in Natural Porous Media by Filtration Theory

2000 ◽  
Vol 34 (17) ◽  
pp. 3774-3779 ◽  
Author(s):  
Norbert Huber ◽  
Thomas Baumann ◽  
Reinhard Niessner
Keyword(s):  
Porous Media ◽  
Filtration Theory ◽  
Colloid Filtration

scholarly journals Quantified Pore-Scale Nanoparticle Transport in Porous Media and the Implications for Colloid Filtration Theory

Langmuir ◽  
2016 ◽  
Vol 32 (31) ◽  
pp. 7841-7853 ◽  
Author(s):  
Ian L. Molnar ◽  
Paula C. Sanematsu ◽  
Jason I. Gerhard ◽  
Clinton S. Willson ◽  
Denis M. O’Carroll
Keyword(s):  
Porous Media ◽  
Pore Scale ◽  
Filtration Theory ◽  
Nanoparticle Transport ◽  
Transport In Porous Media ◽  
Colloid Filtration

BASIC MATHEMATICAL MODELS AND AN APPROXIMATE METHOD OF FILTRATION THEORY

2021 ◽  
pp. 25-31
Author(s):  
Alla A. Mussina
Keyword(s):  
Mathematical Model ◽  
Porous Media ◽  
Mathematical Models ◽  
Heterogeneous Porous Media ◽  
Effective Management ◽  
Filtration Theory ◽  
New Device ◽  
Scientific Papers ◽  
The Mathematical Model ◽  
Inhomogeneous Liquids

The article defines the basic concepts of filtration theory and provides an overview of the existing mathematical models of inhomogeneous liquids in porous media. The paper considers the Stefan problem. The number of scientific papers devoted to the study of porous structures has recently increased. This is primarily due to the fact that the prob-lems of oil and uranium production have been identified, and the solution of environmental problems is overdue. Therefore, a new device is needed to develop models of liquid filtration. With the advent and development of computer technology, it has become easier to solve problems that require numerical methods for their solution. Understanding the movement of fluids and the mechanism of dissolution of rocks under the action of acids in heterogeneous porous media is of great importance for the extraction and production of oil and the effective management of these processes. The article examines the mathematical model of the theory of isothermal filtration. Possible variants of the solva-bility of the model are shown. The research scheme consists of the output of a mathematical model, the formulation of the problem, one variant of the solution of the problem, the algorithm of the numerical method of solving the problem.

Filtration by porous media: a microfluidics approach

2021 ◽  
Author(s):  
filippo miele ◽  
Marco dentz ◽  
Veronica morales ◽  
Pietro de Anna
Keyword(s):  
Porous Media ◽  
Time Lapse ◽  
Breakthrough Curves ◽  
Pore Scale ◽  
Lagrangian Analysis ◽  
Attachment Rate ◽  
Colloid Filtration ◽  
Heavy Tailed ◽  
Set Up ◽  
Continuous Injection

<p>The transport of colloids in porous media is governed by deposition on solid surfaces and pore-scale flow variability. Classical approaches, like colloid filtration theory (CFT), do not capture behaviours observed experimentally, such as non-exponential steady state deposition profiles and heavy tailed BreakThrough Curves (BTC). In the framework of CFT, a key assumption is that the colloid attachment rate <span><span><span><span>𝑘</span></span></span></span> is constant and empirically estimated via a posteriori macroscopic data fitting. We design a novel experimental set-up based on time-lapse microscopy and continuous injection of fluorescent monodisperse colloids into a folded microfluidics device (1mt total length) designed with a controlled level of 2D spatial disorder. This set-up allows us to i) measure both BTC and deposition profile over several orders of magnitude and ii) to perform particle tracking and Lagrangian analysis of single colloid's trajectories. Based on this analysis, we propose a stochastic model that takes into account pore scale heterogeneities in terms of correlation length, velocity and attachment rate distribution, that captures the anomalous behaviour shown by the experimental data.</p>

Application of clean-bed filtration theory to bacterial deposition in porous media

1992 ◽  
Vol 26 (5) ◽  
pp. 1053-1058 ◽  
Author(s):  
Robert E. Martin ◽  
Edward J. Bouwer ◽  
Linda M. Hanna
Keyword(s):  
Porous Media ◽  
Filtration Theory

scholarly journals Colloid filtration prediction by mapping the correlation‐equation parameters from transport experiments in porous media

2015 ◽  
Vol 51 (11) ◽  
pp. 8995-9012 ◽  
Author(s):  
Tamir Kamai ◽  
Mohamed K. Nassar ◽  
Kirk E. Nelson ◽  
Timothy R. Ginn
Keyword(s):  
Porous Media ◽  
Correlation Equation ◽  
Colloid Filtration

Comment on "Application of clean-bed filtration theory to bacterial deposition in porous media"

1993 ◽  
Vol 27 (5) ◽  
pp. 984-985 ◽  
Author(s):  
David G. Jewett ◽  
Roger C. Bales ◽  
Bruce E. Logan ◽  
Robert G. Arnold
Keyword(s):  
Porous Media ◽  
Filtration Theory
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