Mathematical model of deep-bed filtration of a two-component suspension through a porous medium

Makhmudov, Zh. M.; Saidullaev, U. Zh.; Khuzhayorov, B. Kh.

doi:10.1134/s0015462817020132

Cited by 15 publications

(3 citation statements)

References 15 publications

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“…The solid particles suspended in the suspension can differ in their properties, that is to say, they can have different geometric, physicochemical and electrokinetic characteristics [34,38,39]. Many recent works takes into account the polydispersity of suspension [6,[40][41][42][43][44][45]. Two-component suspensions consisting of two disperse components with different concentrations and kinetic properties represent the simplest form of a multicomponent suspension.…”

Section: Introductionmentioning

confidence: 99%

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A Deep Bed Filtration Model of Two-Component Suspension in Dual-Zone Porous Medium

et al. 2020

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In the paper, a mathematical model for the filtration of two-component suspensions in a dual-zone porous medium is considered. The model consists of the mass balance equations, the kinetic equations for active and passive zones of porous medium for each component of the suspension and Darcy’s law. To solve the problem, a numerical algorithm for computer experimentation is developed on the basis of finite difference method. Based on numerical results, the main characteristics of suspension filtration in a porous medium are established. Influences of model parameters on transport and deposition of suspended particles of two-component suspension in porous media are analysed. It is shown that the polydispersity of suspension and multistage nature of the deposition kinetics can lead to various effects that are not characteristic for the transport of one-component suspensions with one-stage particle deposition kinetics. In particular, in distribution of the concentration of suspended particles in a moving fluid non-monotonic dynamics are obtained at individual points in the medium. It is shown that at the points of the medium near to the input section, the concentration of deposited particles can reach partial capacities in the passive zone.

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Section: Introductionmentioning

confidence: 99%

“…Two-component suspensions consisting of two disperse components with different concentrations and kinetic properties represent the simplest form of a multicomponent suspension. In most cases two component suspension have been studied [41][42][43][44][45][46].…”

Section: Introductionmentioning

confidence: 99%

A Deep Bed Filtration Model of Two-Component Suspension in Dual-Zone Porous Medium

et al. 2020

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“…However, due to investment, operation, and reconstruction, more practical situations are based on the existing two-stage process, making produced water filtration technology of oil field transition from stereotyping to serialization and individualization [13][14][15][16]. First, in reservoirs with different permeability, the targeted treatment of produced water with different water quality has been implemented, and attempts have been made to improve the utilization rate and operating load of the existing equipment.…”

Section: Introductionmentioning

confidence: 99%

Interception Characteristics and Pollution Mechanism of the Filter Medium in Polymer-Flooding Produced Water Filtration Process

Wang

Dang

et al. 2019

Processes

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Polymer flooding enhances oil recovery, but during the application of this technology, it also creates a large amount of polymer-contained produced water that poses a threat to the environment. The current processing is mainly focused on being able to meet the re-injection requirements. However, many processes face the challenges of purifying effect, facilities pollution, and economical justification in the field practice. In the present work, to fully understand the structure and principle of the oil field filter tank, and based on geometric similarity and similar flow, a set of self-designed filtration simulation devices is used to study the treatment of polymer-contained produced water in order to facilitate the satisfaction of the water injection requirements for medium- and low-permeability reservoirs. The results show that, due to the existence of polymers in oil field produced water, a stable colloidal system is formed on the surface of the filter medium, which reduces the adsorption of oil droplets and suspended solids by the filter medium. The existence of the polymers also increases the viscosity of water, promotes the emulsification of oil pollution, and increases the difficulty of filtration and separation. As filtration progresses, the adsorption of the polymers by the filter medium bed reaches saturation, and the polymers and oil pollution contents in the filtered water increase gradually. The concentration and particle size of the suspended solids eventually exceed the permissible standards for filtered water quality; this is mainly due to the unreasonable size of the particle in relation to the filter medium gradation and the competitive adsorption between the polymers and the suspended solids on the surface of the filter medium. The oil concentration of the filtered water also exceeds the allowable standards and results from the polymers replace the oil droplets in the pores and on the surfaces of the filter medium. Moreover, the suspended particles of the biomass, composed of dead bacteria, hyphae, and spores, have strong attachment and carrying ability with respect to oil droplets, which cause the suspended solids in the filtered water to exceed the permissible standards and oil droplets to be retained in the filtered effluent at the same time.

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Exact solution for 1D deep bed filtration with particle capture by advection and dispersion

Кузьмина

Osipov

2021

International Journal of Non-Linear Mechanics

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Mathematical model of deep-bed filtration of a two-component suspension through a porous medium

Cited by 15 publications

References 15 publications

A Deep Bed Filtration Model of Two-Component Suspension in Dual-Zone Porous Medium

A Deep Bed Filtration Model of Two-Component Suspension in Dual-Zone Porous Medium

Interception Characteristics and Pollution Mechanism of the Filter Medium in Polymer-Flooding Produced Water Filtration Process

Exact solution for 1D deep bed filtration with particle capture by advection and dispersion

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