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deep bed filtration model for cake filtration and erosion

Applied Mathematics and Mechanics(English Edition) 2024年第2期45卷 355-372页

作者： L.I.KUZMINA Y.V.OSIPOV A.R.PESTEREV Department of Applied Mathematics HSE UniversityMoscow 101000Russia Department of Computer Science and Applied Mathematics Moscow State University of Civil EngineeringMoscow 129337Russia

Many phenomena in nature and technology are associated with the filtration of suspensions and colloids in porous media. Two main types of particle deposition,namely, cake filtration at the inlet and deep bed filtration throughout the entire porous medium, are studied by different models. A unified approach for the transport and deposition of particles based on the deep bed filtration model is proposed. A variable suspension flow rate, proportional to the number of free pores at the inlet of the porous medium, is considered. To model cake filtration, this flow rate is introduced into the mass balance equation of deep bed filtration. For the cake filtration without deposit erosion,the suspension flow rate decreases to zero, and the suspension does not penetrate deep into the porous medium. In the case of the cake filtration with erosion, the suspension flow rate is nonzero, and the deposit is distributed throughout the entire porous medium. An exact solution is obtained for a constant filtration function. The method of characteristics is used to construct the asymptotics of the concentration front of suspended and retained particles for a filtration function in a general form. Explicit formulae are obtained for a linear filtration function. The properties of these solutions are studied in detail.

关键词： deep bed filtration cake filtration porous medium particle deposition and erosion analytical solution concentration front

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Wetting and its influence on the filtration ability of ceramic foam filters

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Particuology 2015年第1期13卷 50-57页

作者： Fabian Heuzeroth J?rg Fritzsche Urs A.Peuker Institute of Mechanical Process Engineering and Mineral Processing

deep bed filtration in aqueous media is a well-known process for solid-liquid separation. However, the use of deep bed filtration for the purification of metal melts is a relatively new field of application, In particular, the separation mechanism of metal melts filtration is a new area for investigation. The current paper aims at examining the influence of wetting on the filtration efficiency of ceramic foam filters that is an important feature of the metal melts filtration process. A model system was designed using water and alumina particles （〈200μm）. The particles and filter medium were coated to model poor wetting. Thus, examination of the influence of wetting on the adhesion energy and filtration performance was possible. Furthermore, the effect of fluid velocity was studied. To this end, the experiments were carried out under atmospheric conditions and at 20℃. The findings showed that poor wetting between the fluid and solid phase significantly increased the filtration efficiency.

关键词： deep bed filtration Adhesion energy Atomic force microscopy Wetting

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Asymptotics for filtration of polydisperse suspension with small impurities

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Applied Mathematics and Mechanics(English Edition) 2021年第1期42卷 109-126页

作者： L.I.KUZMINA Y.V.OSIPOV T.N.GORBUNOVA Department of Applied Mathematics National Research University Higher School of EconomicsMoscow 101000Russia Department of Applied Mathematics Moscow State University of Civil Engineering(National Research University)Moscow 129337Russia

A model for deep bed filtration of a polydisperse suspension with small impurities in a porous medium is *** suspended particles move with the same velocity as the carrier water and get blocked in the pore throats due to the size-exclusion mechanism of particle retention.A solution of the model in the form of a traveling wave is *** global exact solution for a multiparticle filtration with one high concentration and several low concentrations of suspended particles is obtained in an explicit *** analytic solutions for a bidisperse suspension with large and small particles are *** profiles of the retained small particles change monotony with *** global asymptotics for the filtration of a polydisperse suspension with small kinetic rates is constructed in the whole filtration zone.

关键词： deep bed filtration suspension colloid porous medium particle size distribution analytical model

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Experimental and Numerical Analysis of Particle Migration and Patterning Behavior in a Gravel Pack

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Fluid Dynamics & Materials Processing 2023年第4期19卷 911-928页

作者： Bobo Luo Yunbin Xiong Zhuoyi Li Zhanqing Qu Fenggang Liu Tiankui Guo Zugui Yang Yina Shi Exploration and Development Research Institute Zhongyuan Oilfield CompanySINOPECPuyangChina The University of Manchester ManchesterUK College of Petroleum Engineering China University of Petroleum(East China)QingdaoChina

Due to its long lifespan and high sand-removal efficiency,gravel packing is one of the most applied sand control methods during the recovery of reservoirs with sanding *** blockage and retention of injected sand in a gravel pack is a complex process affected by multiple *** majority of existing studies based on the phenomenological deep bed filtration(DBF)theory focused on the gravel pack’s overall permeability damage and failed to obtain the inner-pore particle distribution *** this work,experiments and simulations were carried out to reveal the particle distribution in a gravel pack during *** particular,through real-time monitoring of particle migration,the penetration depth and distribution pattern of invaded particles with different gravel-sand particle ratios,fluid viscosities and injection rates could be *** simplifying each unit bed element(UBE)into a pore-throat structure with four tunnels(two horizontals for discharge and two verticals for sedimentation),a new network simulation method,which combines deep bed filtration with a particle trajectory model,was *** comparison of experimental and numerical results demonstrates the validity and accuracy of the model.

关键词： Gravel pack sand control deep bed filtration visual experiment particle trajectory

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Research on Soot filtration and Pressure Drop Characteristics of DPF

Research on Soot Filtration and Pressure Drop Characteristic...

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2016中国汽车工程学会年会暨展览会

作者： Gao Ying Liu Hongqi Chen Wei Fu Tieqiang Fang Maodong Li Jun State Key Laboratory of Automotive Simulation and Control Jilin University China Automotive Technology&Research Center

ISBN: (纸本)9789811035272;9789811035265

An integrated DPF filtration model is proposed to study the properties of soot filtration and pressure drop,which includes deep bed filtration model,cake filtration model and pressure drop *** results show that the evolution of filtration can be divided into two stages named as deep bed filtration and cake filtration *** deep bed filtration,soot is trapped in the filter wall,which results a rapid pressure drop gradient of 7.6Pa/***,the soot quality only accounts for 1.6% of the total in whole filtration *** soot layer is developed during soot *** a linear increase of pressure drop with the gradient of 1.4Pa/s during the ***,the pressure drop caused by the soot layer and cake layer are 54% and 38% respectively in the whole simulation duration.

关键词： DPF deep bed filtration cake filtration pressure drop

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