Effects of blockage and erosion on the filtration of suspensions

Khuzhaerov, B. Kh.

doi:10.1007/bf00872845

Cited by 15 publications

(5 citation statements)

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“…In accordance with [42], the process of particle deposition and release depends on the pressure gradient, and the greater module of pressure gradient the smaller probability of the deposition of the particles and greater the probability of the release of the particles from pores. In accordance with [42,45], the kinetic Equation (7) characterising the deposition and release of solid particles in the active zone of the porous medium is written as…”

Section: Improving the Modelmentioning

confidence: 74%

“…Several formulas have been obtained for filtration coefficient in terms of porosity. Of these formulas the Carman-Kozeny formula [42][43][44] is widely used, which was developed for laminar flow in a packed bed of spherical grains. In our case porous media is homogenous and filtration velocity is small enough.…”

Section: Improving the Modelmentioning

confidence: 99%

“…In our case porous media is homogenous and filtration velocity is small enough. So, for K (m), we use Carman-Kozeny equation [42][43][44]…”

Section: Improving the Modelmentioning

confidence: 99%

“…In [42], kinetic equations of the process of deposition (capture) of solid particles of a suspension as well as their release were generalised, taking into account dynamic factors. In accordance with [42], the process of particle deposition and release depends on the pressure gradient, and the greater module of pressure gradient the smaller probability of the deposition of the particles and greater the probability of the release of the particles from pores. In accordance with [42,45], the kinetic Equation (7) characterising the deposition and release of solid particles in the active zone of the porous medium is written as…”

Section: Improving the Modelmentioning

confidence: 99%

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Numerical Study of Suspension Filtration Model in Porous Medium with Modified Deposition Kinetics

et al. 2020

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Filtration is one of the most used technologies in chemical engineering. Development of computer technology and computational mathematics made it possible to explore such processes by mathematical modeling and computational methods. The article deals with the study of suspension filtration in a porous medium with modified deposition kinetics. It is suggested that deposition is formed in two types, reversible and irreversible. The model of suspension filtration in porous media consists of the mass balance equation and kinetic equations for each type of deposition. The model includes dynamic factors and multi-stage deposition kinetics. By using the symmetricity of porous media, the higher dimensional cases are reduced to the one-dimensional case. To solve the problem, a stable, effective and simple numerical algorithm is proposed based on the finite difference method. Sufficient conditions for stability of schemes are found. Based on numerical results, influences of dynamic factors on solid particle transport and deposition characteristics are analyzed. It is shown that the dynamic factors mainly affect the profiles of changes in the concentration of deposition of the active zone.

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Section: Improving the Modelmentioning

confidence: 74%

Section: Improving the Modelmentioning

confidence: 99%

“…In our case porous media is homogenous and filtration velocity is small enough. So, for K (m), we use Carman-Kozeny equation [42][43][44]…”

Section: Improving the Modelmentioning

confidence: 99%

Section: Improving the Modelmentioning

confidence: 99%

See 2 more Smart Citations

Numerical Study of Suspension Filtration Model in Porous Medium with Modified Deposition Kinetics

et al. 2020

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“…The model needs to be improved to account for these phenomena. In this case, you can use the approaches [16][17][18][19].…”

Section: Numerical Calculationsmentioning

confidence: 99%

A Mathematical Modelling of Solid Particles Transport in Two-Zone Porous Media with Non-Linear Kinetics of Deposition

Khuzhayorovich,

Ortikovich,

Bokhodirovich

et al. 2024

MMEP

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The processes of transport of various pollutants in porous media are of great practical importance. Such contaminants can be solid colloidal particles suspended in the carrier fluid. In the process of transfer, particles can be deposited in pores, which significantly change the permeability and porosity characteristics of the medium. The heterogeneity of porous media considerably affects the transfer of these particles. One of the macroscopically inhomogeneous media is zonal inhomogeneous media, consisting of several zones with different characteristics. In such media, generalized mathematical models have not yet been developed that take into account the zonal inhomogeneity of the medium, various linear and nonlinear, reversible and irreversible kinetics of deposition of solid particles from the liquid into the pore space, etc. In this work, a model is generalized for the transfer of solid particles in a two-zone porous medium. In this work, a mathematical model is considered for colloidal particles transport process in a two-zone porous medium and both the zones having the reversible retentions of particles with different characteristics (parameters). It is shown that the nonlinear kinetics of particle deposition, other parameters being equal, leads to an intensification of particle deposition in pores. As the index n decreases from unity, the rate of particle deposition increases in both zones of the medium. As a consequence, the concentration of suspended particles in the mobile fluid in both zones decreases.

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Mechanisms of flow-induced deformation of porous media

2010

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The study investigates creeping flow-induced alteration in the permeability of deformable particle systems. Low-Reynolds-number transversal flow through random arrays of aligned cylinders is considered by means of a combined methodology of directly solving the two-dimensional (2D) Stokes equations for the flow in the vicinity of two particles and minimising the dissipation rate in a system comprising thousands of particles. The results demonstrate that the more compact the system, the greater the possible relative change of permeability when a high flow rate is applied. The permeability of large random arrays always increases when increasing the flow rate, which is most apparent in compact systems with equal-sized particles. The permeability can sometimes decrease but only in structured or small systems.

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Effects of blockage and erosion on the filtration of suspensions

Cited by 15 publications

References 0 publications

Numerical Study of Suspension Filtration Model in Porous Medium with Modified Deposition Kinetics

Numerical Study of Suspension Filtration Model in Porous Medium with Modified Deposition Kinetics

A Mathematical Modelling of Solid Particles Transport in Two-Zone Porous Media with Non-Linear Kinetics of Deposition

Mechanisms of flow-induced deformation of porous media

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