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September 11, 2026
How to Assess Students Knowledge in the Age of AI
A researcher at HSE University has proposed a flowchart to help lecturers decide how to assess students who use artificial intelligence. It shows where the use of AI should be restricted and where it can be incorporated into the learning process. The article has been published in IT Professional.
September 9, 2026
‘Balkan Hospitality Opens Doors: Studying Dialects on the Verge of Extinction
You cannot study spoken dialects from books. Instead, you need to go to a village, seek out its elders, and earn the trust of local residents before you can record hours of spontaneous stories. This is how Natalia Muravleva, Associate Professor at the Faculty of Humanities, conducts her research. Her internship in Serbia continued her long-standing study of dialects spoken by Macedonian settlers. In this interview, she discusses how diaspora cultural centres help researchers reach informants, why native speakers need to be interviewed only in their own language (otherwise, as she puts it, they may 'break'), and how a single field season helped her finalise her monograph. She also shares warm memories of autumn in Belgrade and of colleagues with whom grammar can be discussed in three languages at once.
September 9, 2026
Scientists Train Neural Network to Generate Process Plans from 3D Models
Researchers at the HSE FCS AI and Digital Science Institute have developed CAD2TechSpec, a framework that converts 3D models of mechanical parts into machining process plans—step-by-step instructions for machine tools. The solution aims to reduce the time required for the design and preparation of technical process documentation in mechanical engineering, aircraft manufacturing, and other high-tech industries. The study findings have been published in PeerJ Computer Science.

 

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Filtration in Porous Medium with Particle Release

P. 40–48.
Kuzmina L., Osipov Y.
Language: English
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DOI
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Keywords: filtration porous mediumanalytic solutionparticle retention

In book

The 7th International Technical Conference on Frontiers of Hydraulic and Civil Engineering Technology (HCET 2022). Volume 31.
The 7th International Technical Conference on Frontiers of Hydraulic and Civil Engineering Technology (HCET 2022). Volume 31.
Vol. 31: of Advances in Transdisciplinary Engineering. , IOS Press, 2022.
Similar publications
MODEL OF DEEP BED FILTRATION IN A POROUS MEDIUM WITH HETEROGENEOUS POROSITY
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Modeling the transport and sedimentation of small particles of suspensions and colloids in porous rocks is an important problem in subsurface hydromechanics. Particles entrained in fluid are transported and retained in the rock pores. The filtration process is determined by the number and size of pores and is characterized by porosity—the ratio of the void ...
Added: August 25, 2026
Exact Solutions to One-Dimensional Problem of Oil Displacement by Chemical
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We consider the displacement of oil by water with active chemical reagents in porous media. A one-dimensional model of reagent transport and deposition is defined by a hyperbolic system of first-order equations. The purpose of the article is to find the conditions for the existence of a continuous solution with discontinuous boundary and initial conditions. ...
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We study a model problem on the filtration of a conducting fluid through a porous layer. A porous medium is presented as an assemblage of identical spherical cells. Each cell consists of a porous core and liquid shell. We derive apriori estimates for flow characteristics which show the specific behavior of the fluid. Our estimates are validated numerically. ...
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We study a model problem on the filtration of a conducting fluid through a porous layer. A porous medium is presented as an assemblage of identical spherical cells. Each cell consists of a porous core and liquid shell. We show the dependence of each flow parameter on the Debye radius which characterizes how far the influence of a charge ...
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We study the finite model property of subframe logics with expressible transitive reflexive closure modality. For m > 0, let Lm be the logic defined by axiom ♦^{m+1}p → ♦p ∨ p. We construct quotient filtrations for the logics Lm, which implies that these logics and their tense counterparts have the finite model property. Then, we construct selective filtrations ...
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Strengthening of loose soil and creation of water-resistant underground walls are associated with filtration of small particles in a porous medium. Liquid solution pumped into a well under pressure spreads through hollow channels and strengthens the soil upon hardening. Many porous filters retain particles near the entrance. The particles deposited on the filter surface form ...
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Added: June 27, 2024
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The formation of grout sediment in the pores of loose rock increases the water resistance of the soil and strengthens the foundation. A one-dimensional model of filtration in a porous medium considers the particles transport by the flow of a carrier fluid and the deposition of particles on the framework of a porous medium. The ...
Added: June 27, 2024
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Suspension and colloid filtration in porous rocks is encountered in problems of underground hydromechanics associated with construction. The formation of grout sediment in the pores of loose rock increases the water resistance of the soil and strengthens the foundation. A one-dimensional model of filtration in a porous medium considers the particles transport by the flow ...
Added: June 27, 2024
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Filtering fluids with tiny particles in porous media occurs in many technological processes of environmental and civil engineering. To strengthen the foundation, a slurry is pumped into loose rock and, when hardened, strengthens it. Deep bed filtration is accompanied by the retention of particles. Various forces act on the particles and cause them to settle ...
Added: June 27, 2024
On the Weak Solution of the Electro-Hydrodynamical Boundary Value Problem for the Unit Cell of Cation-exchange Membrane
Yulia O. Koroleva, , in: Proceedings of the 7th International Conference on Nonlinear Analysis and Extremal Problems (NLA-2022), Irkutsk, Russia, July 15–22, 2022.: ISDCT SB RAS, 2022. P. 54–55.
We study a model problem on the filtration of a conducting fluid through a porous layer. A porous medium is presented as an assemblage of identical spherical cells. Each cell consists of a porous core and liquid shell. The common case of finite Debye radius in comparison to the cell radius is analyzed. We derive ...
Added: February 2, 2024
On real analogues of the Poincaré series
Campillo A., Delgado F., Sabir M. Gusein-Zade, Bulletin of the London Mathematical Society 2024 Vol. 56 No. 1 P. 449–459
There exist several equivalent equations for the Poincaré series of a collection of valuations on the ring of germs of functions on a complex analytic variety. We give definitions of the Poincaé series of a collection of valuations in the real setting (i.e., on the ring of germs of functions on a real analytic variety), ...
Added: December 5, 2023
CHARACTERISTIC METHOD FOR SOLVING FILTRATION PROBLEM
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During construction, a liquid solution of a grout or waterproof filler is pumped into porous rock to improve its properties. The filtration of a suspension moving at a variable speed in a porous medium is simulated. A one-dimensional problem of filtration in a homogeneous porous medium with a curvilinear concentration front of suspended and retained ...
Added: October 31, 2023
Single Jump Filtrations: Preservation of the Local Martingale Property with Respect to the Filtration Generated by the Local Martingale
Gushchin A. A., Zhunussova A., , in: Operator Theory and Harmonic Analysis* 2: Probability-Analytical Models, Methods and Applications.: Cham: Springer, 2021. P. 219–231.
Let M be a local martingale with respect to a so-called single jump filtration F = F(г ,F ) generated by a random time г on a probability space (Omega,F ,P). It was recently mentioned by Herdegen and Herrmann (2016) that M is also a local martingale with respect to the filtration H = F^M that it generates if ...
Added: December 25, 2022
Estimates of characteristics of a micropolar flow passing through an axially symmetric cell
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We study a model problem on the filtration of micropolar fluid in the framework of a cell model technique. A porous medium is presented as an assemblage of axially symmetric cells of an arbitrarily geometry. Each cell consists of a solid core, porous layer and liquid shell. The influence of the neighboring cells is taken into account ...
Added: September 20, 2021
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