Mathematical Modeling of Process of Filtration Consolidation of Saturated with Binary Saline Solutions Porous Media under Conditions of Relaxation Filtration

2008 ◽  
Vol 40 (1) ◽  
pp. 27-34
Author(s):  
Vladimir M. Bulavatskiy
Keyword(s):  
Mathematical Modeling ◽  
Porous Media ◽  
Filtration Consolidation ◽  
Saline Solutions

scholarly journals About Two-dimensional Mathematical Model of Contaminant Migration in Unsaturated Catalytic Porous Media with Traps

2020 ◽  
pp. 25-28
Author(s):  
Anatolyy Vlasyuk ◽  
Viktor Zhukovskyy ◽  
Nataliia Zhukovska ◽  
Serhiy Kraychuk
Keyword(s):  
Mathematical Model ◽  
Porous Media ◽  
Moisture Transfer ◽  
Physical Problem ◽  
Two Dimensional ◽  
Contaminant Migration ◽  
Nonlinear Case ◽  
The Finite Difference Method ◽  
Saline Solutions ◽  
Assessment Strategies

This paper proposes an approach for the computer simulation of complex physical problem of contaminant migration through unsaturated catalytic porous media to the filter-trap. The corresponding mathematical model in the two-dimensional nonlinear case is presented. The model includes detailed considerations of the moisture transfer of saline solutions under the generalized Darcy’s and Cluta’s laws in different subregions of soil. The numerical solution of the boundary value problem was found by the finite difference method and proposed the algorithm for computer implementation. The proposed algorithm may be used for creating software with effective risk assessment strategies and predicting the cleaning and further useful use of the soil massifs.

Mathematical Modeling and Experimental Study of Erosion-Deposition Process in Deformable Porous Media

2021 ◽  
Vol 42 (11) ◽  
pp. 2545-2553
Author(s):  
E. Khramchenkov ◽  
M. Khramchenkov ◽  
D. Demidov ◽  
A. Garaeva
Keyword(s):  
Mathematical Modeling ◽  
Experimental Study ◽  
Porous Media ◽  
Deposition Process ◽  
Deformable Porous Media

scholarly journals Mathematical Modeling of Fluid Flow and Heat Transfer in Petroleum Industries and Geothermal Applications

Energies ◽  
2020 ◽  
Vol 13 (6) ◽  
pp. 1344
Author(s):  
Mehrdad Massoudi
Keyword(s):  
Mathematical Modeling ◽  
Heat Transfer ◽  
Porous Media ◽  
Fluid Flow ◽  
Heat Exchanger ◽  
Ground Heat Exchanger ◽  
Special Issue ◽  
Flow And Heat Transfer ◽  
Convection In Porous Media

This Special Issue of Energies is dedicated to all aspects of fluid flow and heat transfer in geothermal applications, including the ground heat exchanger, conduction, and convection in porous media [...]

Evaporation from porous media as influenced by osmotic potential

2020 ◽  
Author(s):  
Adil Salman ◽  
Deep Joshi ◽  
Mahyar Naseri ◽  
Wolfgang Durner
Keyword(s):  
Porous Media ◽  
Water Potential ◽  
Osmotic Potential ◽  
Soil Surface ◽  
Natural Soil ◽  
Total Water ◽  
Matric Potential ◽  
Model Calculations ◽  
Two Stages ◽  
Saline Solutions

<p>The measurement of the water potential is important to characterize solute transport in soil and water uptake by plants. Many researchers have characterized the matric potential and its impact on evaporation from porous media. However, only few studies have been carried out to characterize the effect of the osmotic potential. In this study, we investigated the simultaneous influences of the osmotic and matric potentials on the evaporation from soil. Our hypothesis was that both potential components affect the two stages of evaporation and that the osmotic potential in direct vicinity of the soil surface is a controlling variable. To meet our objective, we performed evaporation experiments on columns filled with pure quartz sand and natural soil materials with different textures, under climate-controlled laboratory conditions. The soils were initially saturated with different concentrations of saline solutions and evaporation from each column was measured daily. Our results show that the osmotic potential reduced the amount of evaporated water from the investigated porous media. The amount of reduction due to the osmotic potential is compared with model calculations that consider the total water potential at the soil surface.</p>

Mathematical Modeling and Experimental Analysis for Flow of Emulsions in Porous Media

2015 ◽  
Vol 4 (1) ◽  
pp. 29-47
Author(s):  
OLUWAFEMI FADAYINI ◽  
DANIEL AFOLABI ◽  
DANIEL SAMUEL ◽  
TAIWO OSHIN ◽  
OLUSEGUN AKINMOLADUN
Keyword(s):  
Mathematical Modeling ◽  
Porous Media ◽  
Experimental Analysis

Mathematical modeling of non-Fickian mass transport in fractured porous media

2008 ◽  
Author(s):  
Sergei A. Fomin ◽  
Vladimir A. Chugunov ◽  
Toshiyuki Hashida
Keyword(s):  
Mathematical Modeling ◽  
Porous Media ◽  
Mass Transport ◽  
Fractured Porous Media
Sign in / Sign up

Export Citation Format

Share Document