Analytical micro model for size exclusion: Pore blocking and permeability reduction

Santos, A.; Bedrikovetsky, Pavel; Fontoura, S. A. B.

doi:10.1016/j.memsci.2007.09.054

Cited by 52 publications

(29 citation statements)

References 24 publications

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“…Such relationships can be utilized in waste water treatment, pollutant transport, modelling of drug movement in live tissues, reservoir characterization, reservoir engineering, and enhanced oil recovery techniques. [3][4][5] Quantitative characterization of the microstructure, pore-scale physics, and solution of the fluid transport equation is necessary for modelling transport phenomena in porous media. [1,2] Synchrotron X-ray computed microtomography [6][7][8] directly maps the pore scale microstructure in 3D.…”

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confidence: 99%

Random network modelling approach to investigate the single‐phase and quasi‐static immiscible two‐phase flow properties in the Mesaverde formation

et al. 2016

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Understanding the microscopic flow behaviour of hydrocarbons and water in porous media gains importance as more and more reservoirs are being exploited. Network modelling techniques could be extended to tighter media as long as Darcy's law is applicable. 3D random networks are constructed in order to represent the Mesaverde formation which is located in north Wyoming, USA. The network modelling software solves the fundamental equations of single-phase and two-phase immiscible flow incorporating wettability and contact angle assuming a quasi-static displacement mechanism. Macroscopic properties of the porous media network representation such as porosity, absolute permeability, and formation factor are calculated and whenever possible compared to experimental data. Subsequently, immiscible two-phase flow properties such as capillary pressure, relative permeability, and resistivity curves are predicted and compared to available experimental data. The effect of interfacial tension alteration is also investigated as an attempt to demonstrate the capability of the network modelling technique to show physical fluid behaviour. It is observed that the capillary pressure curve obtained using MICP data can be used to calibrate and validate the network model generated to represent the sample. The study shows that the modified random network modelling technique is capable of modelling low permeable porous medium and predicting single-phase and immiscible two-phase flow properties assuming quasi-static displacement mechanism.

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Random network modelling approach to investigate the single‐phase and quasi‐static immiscible two‐phase flow properties in the Mesaverde formation

et al. 2016

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“…1). After that, all unplugged pores are larger than the largest particle and particle retention by straining does not occur anymore (see Santos et al 2008). Araújo and Santos (2013) showed that, in this case, λ(σ ) can be represented by a linear decreasing function:…”

Section: Introductionmentioning

confidence: 99%

Modeling Deep Bed Filtration Considering Limited Particle Retention

Santos

Araújo

2015

Transp Porous Med

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The classic deep bed filtration model (CDBFM) has been widely used for predicting transport and retention of particulate suspensions in porous media. In the CDBFM, the filtration coefficient function is assumed to be dependent of the retained particle concentration, and the boundary conditions are fixed at the porous media inlet cross section. However, if particle retention is limited, no more retention occurs (filtration coefficient equals zero) in regions where maximum retention (jamming limit) is reached. In this article, a model for deep bed filtration considering limited retention is proposed and analytical solutions are obtained. In cases where jamming limit is reached, the well-known CDBFM and the proposed model significantly differ from each other. Contrary to the CDBFM solutions, the obtained solutions show that concentrations along porous media are highly influenced by maximum retention front, which propagates with velocity independent of filtration coefficient.

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“…Теоретические исследования, полевые изыс-кания и лабораторные эксперименты позво-лили построить различные модели фильтра-ции [1][2][3][4][5]. В настоящей работе рассматрива-ется одномерная модель долговременной глубинной фильтрации с механико-геометрическим механизмом захвата частиц [6,7]. Два уравнения в частных производных первого порядка, описывающие баланс масс взвешенных и осажденных частиц и ско-рость роста осадка, образуют нелинейную гиперболическую систему.…”

Section: Introductionunclassified

Calculation of the Filtration Problem at the Filter Inlet

Кузьмина¹,

Osipov²

2017

IJCCSE

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1 Национальный исследовательский университет «Высшая школа экономики», г. Москва, РОССИЯ 2 Национальный исследовательский Московский государственный строительный университет, г. Москва, РОССИЯ Аннотация: Рассматривается задача фильтрации суспензии в пористой среде с геометрическим механизмом захвата частиц. В пористой среде имеется первоначальный осадок, неравномерно распределенный вдоль фильтра. Нелинейная модель долговременной глубинной фильтрации предполагает, что пористость и про-ницаемость пористой среды зависят от величины осадка. Определяется асимптотика подвижной границы раздела двух фаз. Асимптотическое решение задачи построено и рассчитано вблизи входа фильтра.Ключевые слова: фильтрация, пористая среда, взвешенные и осажденные частицы, граница раздела фаз, асимптотика. Abstract: Filtration of the suspension in a porous medium with a geometric particle capture mechanism is considered. The porous medium has an initial deposit unevenly distributed across the filter. The nonlinear model of deep bed filtration suggests that the porosity and permeability of the porous medium depend on the deposit. The asymptotics of the movable boundary of the two phases is determined. The asymptotic solution of the problem is constructed and calculated near the filter inlet. CALCULATION OF THE FILTRATION PROBLEM AT THE FILTER INLET

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Analytical micro model for size exclusion: Pore blocking and permeability reduction

Cited by 52 publications

References 24 publications

Random network modelling approach to investigate the single‐phase and quasi‐static immiscible two‐phase flow properties in the Mesaverde formation

Random network modelling approach to investigate the single‐phase and quasi‐static immiscible two‐phase flow properties in the Mesaverde formation

Modeling Deep Bed Filtration Considering Limited Particle Retention

Calculation of the Filtration Problem at the Filter Inlet

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