scholarly journals Solute Transport in the Element of Fractured Porous Medium with an Inhomogeneous Porous Block

Symmetry ◽  
2020 ◽  
Vol 12 (6) ◽  
pp. 1028
Author(s):  
Bakhtiyor Khuzhayorov ◽  
Jabbor Mustofoqulov ◽  
Gafurjan Ibragimov ◽  
Fadzilah Md Ali ◽  
Bekzodjon Fayziev

In this paper, the problem of solute transport in a fractured-porous medium taking into account the non-equilibrium adsorption kinetic is studied. The solute transport in fractured-porous medium consisting of two fractures and a porous block between them located in a symmetric form is considered. The problem is then solved numerically by using the finite difference method. Based on the numerical results, the solute concentration and adsorption fields in the fractures and porous blocks are shown in graphical form. The effect of adsorption on the solute transport in a fractured-porous medium is then analyzed. In the case of different parameters in two zones, asymmetric distribution of the solute concentration and adsorption is obtained. The nonlinear kinetics of adsorption leads to an increase in the adsorption effects, conversely slowing down the rate of the distribution of concentration of the solute in the fluid.

2020 ◽  
Vol 10 (15) ◽  
pp. 5349
Author(s):  
Bakhtiyor Khuzhayorov ◽  
Azizbek Usmonov ◽  
N.M.A. Nik Long ◽  
Bekzodjon Fayziev

In this paper, a problem of anomalous solute transport in a coaxial cylindrical two-zone porous medium with fractal structure is posed and numerically solved. The porous medium is studied in the form of cylinder with two parts: macropore—with high permeability characteristics in the central part and micropore—with low permeability around it. Anomalous solute transport is modeled by differential equations with a fractional derivative. The solute concentration and pressure fields are determined. Based on numerical results, the influence of the fractional derivatives order on the solute transport process is analysed. It was shown that with a decrease in the order of the derivatives in the diffusion term of the transport equation in the macropore leads to a “fast diffusion” in both zones. Characteristics of the solute transport in both zones mainly depend on the concentration distribution and other hydrodynamic parameters in the macropore.


Author(s):  
Atul Kumar ◽  
◽  
Lav Kush Kumar ◽  
Shireen Shireen ◽  
◽  
...  

2015 ◽  
Vol 3 (5) ◽  
pp. 518-526 ◽  
Author(s):  
Mojtaba Ghaedi ◽  
Mohsen Masihi ◽  
Zoltán E. Heinemann ◽  
Mohammad Hossein Ghazanfari

1998 ◽  
Vol 33 (1-2) ◽  
pp. 211-230 ◽  
Author(s):  
Claudia Fesch ◽  
Peter Lehmann ◽  
Stefan B. Haderlein ◽  
Christoph Hinz ◽  
René P. Schwarzenbach ◽  
...  

2004 ◽  
Vol 332 (8) ◽  
pp. 679-686 ◽  
Author(s):  
Moussa Kfoury ◽  
Rachid Ababou ◽  
Benoit Nœtinger ◽  
Michel Quintard

2021 ◽  
Vol 37 (2) ◽  
pp. 467-475
Author(s):  
Marina G. Xavier

Batch adsorption studies were done on aqueous solutions of Pb(NO3)2 at varying solute concentration, adsorbent dose, contact time, temperature, calcination temperatures and pH. Residual concentrations of the solute were found out using AAS and optimum conditions were studied. Adsorbent used in this study is locally available silicate rich mineral which closely resembles zeolites. The net negative charge on the framework of hydrated aluminosilicates is responsible for ion exchange property. Freundlich model was used to validate the results obtained from batch experiments plotting lnCe vs lnqe. Objective of this work is to study the kinetics of adsorption considering the interplay of particle diffusion in addition to proving the effectiveness as an adsorbent. A diffusion model also was also applied apart from kinetic model to analyze the experimental results more specifically. For maximizing the efficiency of the adsorption process and minimizing the time involved, variables like temperature, reactants and pH were manipulated using kinetic studies. It establishes the optimum reaction conditions for various experimental parameters in the process of adsorption.


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