A network model for deep bed filtration of solid particles and emulsion drops

Rege, S.D.; Fogler, H. Scott

doi:10.1002/aic.690341102

Cited by 183 publications

(113 citation statements)

References 51 publications

(45 reference statements)

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“…Different network micro models have been developed by Payatakes 56 et al (1973Payatakes 56 et al ( , 1974, Sahimi and Indakm (1991), Rege and Fogler (1988), 57 (see Khilar and Fogler, 1998), Siqueira et al (2003). Different physical 58 mechanisms of particle retention are included in these models.…”

Section: Introduction 17mentioning

confidence: 99%

A Stochastic Model for Particulate Suspension Flow in Porous Media

Santos¹,

Bedrikovetsky²

2006

Transp Porous Med

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Abstract. A population balance model for a particulate suspension transport with size 6 exclusion capture of particles by porous rock is derived. The model accounts for particle 7 flux reduction and pore space accessibility due to restriction for large particles to move 8 through smaller pores -a particle is captured by a smaller pore and passes through a 9 larger pore. Analytical solutions are obtained for a uniform pore size medium, and also 10 for a medium with small pore size variation. For both cases, the equations for averaged 11 concentrations significantly differ from the classical deep bed filtration model. 12

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Section: Introduction 17mentioning

confidence: 99%

A Stochastic Model for Particulate Suspension Flow in Porous Media

Santos¹,

Bedrikovetsky²

2006

Transp Porous Med

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“…It has been expected that APSD majorly affects permeability impairment. It has been shown that the relatively large particles have a noticeable chance to plug the pore throats of the rock [24]. Plugging the throats will decrease the permeability, so considering an appropriate size distribution for asphaltene particles seems indispensable.…”

Section: Bundle Of Tubes Modelingmentioning

confidence: 99%

“…In the other case when the particles are very small compared to the porous media pore sizes, there is no or very little retention inside the porous medium ( Figure 1, Case II). Rege and Fogler [24] have modified and rearranged a probability function for depositing a particle in a pore tube which was firstly developed by Stein [17]:…”

Section: Bundle Of Tubes Modelingmentioning

confidence: 99%

Asphaltene Formation Damage Stimulation by Ultrasound: An Analytical Approach Using Bundle of Tubes Modeling

Rabbani

Ghazanfari

Amani

2015

Journal of Petroleum Engineering

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This study presents a novel approach for bundle of tubes modeling of permeability impairment due to asphaltene-induced formation damage attenuated by ultrasound which has been rarely attended in the available literature. Model uses the changes of asphaltene particle size distribution (APSD) as a function of time due to ultrasound radiation, while considering surface deposition and pore throat plugging mechanisms. The proposed model predicts the experimental data of permeability reduction during coinjection of solvent and asphaltenic oil into core with reasonable agreement. Viscosity variation due to sonication of crude oil is used to determine the fluid mobility applied in the model. The results of modeling indicate that the fluid samples exposed to ultrasound may cause much less asphaltene-induced damage inside the porous medium. Sensitivity analysis of the model parameters showed that there is an optimum time period during which the best stimulation efficiency is observed. The results of this work can be helpful to better understand the role of ultrasound prohibition in dynamic behavior of asphaltene deposition in porous media. Furthermore, the present model could be potentially utilized for modeling of other time-dependent particle induced damages.

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“…in networks with different geometries including bundle of parallel tubes [8], square networks [14,16,23], triangular networks [3,27], cubic networks [2,17,33], bubble models [6,22], and the so-called three-dimensional physically representative networks [1,34].…”

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confidence: 99%

Clogging of Multigraphs as Toy Models of Filters

Goldsztein¹

2009

SIAM J. Appl. Math.

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Abstract. In this paper we model filters as networks of channels. As suspension (fluid with particles) flows through the filter, particles are trapped and clog channels. We assume there is no flow through clogged channels. The filter becomes impermeable after not all, but only a portion, of the channels clog. In this paper we compute an upper bound on the number of channels that clog. This bound is a function of properties of the network. Our results provide an understanding of the relationship between the filter pore space geometry and the filter efficiency. Fluid suspensions, or suspensions for short, are fluids with small solid particles in them. As suspension flows through a permeable porous material, some particles are trapped within the material. In fact, the function of the filters we consider in this paper is to clean suspensions by capturing particles.The removal of particles from fluid suspensions is of importance in a wide range of industrial and technological applications such as wastewater treatment [20], drinking water treatment, and other filtration processes [4,35]. Our studies are motivated by the filters used in the process known as deep bed filtration. In this process, as suspension flows through a filter, particles penetrate the filter and deposit at various depths [36]. As a result, the fluid suspension is cleaner when it exits the filter (i.e., the suspension exits the filter with fewer solid particles than it originally had when it entered the filter).Mathematical models for studying transport in porous media can be classified as either macroscale models [5,15,24,25,26,28,36] or pore-scale models (also known as microscale models) [9,21,31]. Macroscale models are those that model phenomena occurring at length scales much larger than the pore dimensions. On the other hand, pore-scale models, as the name suggests, model phenomena occurring at the length scale of the size of the pores. Within the pore-scale models, the class of network models is very popular. Network models are a class of models that represent the pore space in an idealized fashion, which can be channels, or pore bodies connected by pore throats. Our work belongs to the class of network models.Network models for studying transport in porous media were introduced by Fatt [10,11,12]. Donaldson [8] was the first one to use networks to study particle transport within porous media. The clogging of particles has been studied

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A network model for deep bed filtration of solid particles and emulsion drops

Cited by 183 publications

References 51 publications

A Stochastic Model for Particulate Suspension Flow in Porous Media

A Stochastic Model for Particulate Suspension Flow in Porous Media

Asphaltene Formation Damage Stimulation by Ultrasound: An Analytical Approach Using Bundle of Tubes Modeling

Clogging of Multigraphs as Toy Models of Filters

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