scholarly journals Identification of the parameters of transport through porous media with clogging

Author(s):  
M. R. Khabin ◽  
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B. S. Maryshev ◽  
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◽  
...  

The article is devoted to the determination of the parameters of impurity transport in a porous medium, the hydrodynamic resistance of which changes due to the settling of impurity particles on the pore walls (blockages). In most cases, experimental measurement of the parameters of such transport is not possible. When finding such parameters for the transport model under study, the inverse problem can be solved. The inverse problem is solved, for a certain set of experimental data, which can be correlated with the results obtained in modeling, using the BFGS method in combination with the adjoint function method. This paper simulates the pumping of a fixed volume of impurities through a working area filled with a porous medium at a constant pressure drop at its ends. As an "experimental" data set, the flow rate and concentration of impurities at the exit from the working area, obtained for the investigated model with the given parameters, are taken. The main approach for describing such transport is the MIM (mobile / immobile media) approach, which consists in dividing the total concentration of an impurity into a concentration of mobile and nonmobile. For small impurity concentrations, a nonlinear MIM model can be applied, the kinetic equation of which contains the saturation concentration of the immobile component, upon reaching which the adsorption of particles stops. Blockage in the model is taken into account by a change in the permeability of a porous medium due to a change in its porosity, which in turn decreases linearly with an increase in the concentration of the immobile component. For the model under consideration, the inverse problem of finding a given set of parameters was solved. The results of the test operation of the algorithm for solving the inverse problem are presented. It is shown that the algorithm converges to the specified parameters in a small number of iterations. It is assumed that this algorithm will be used to process the experimental data with a cylindrical working area filled with glass granulate as a porous medium.

2013 ◽  
Vol 68 (5) ◽  
pp. 1188-1194 ◽  
Author(s):  
A. C. C. Arguelles ◽  
M. Jung ◽  
G. Pak ◽  
H. Aksoy ◽  
M. L. Kavvas ◽  
...  

Comprehensive modelling of overland flow requires models for both rill and interrill area overland flow. Evaluation of a physically based mathematical model for simulating overland flow generated on rill and interrill areas of hillslope was done using a data set gathered from a laboratory experimental setup. A rainfall simulator has been constructed together with a 6.50 m × 1.36 m erosion flume that can be given adjustable slopes in both longitudinal and lateral directions. The model was calibrated and validated using the experimental results from the setup of the flume having 5% lateral and 10% longitudinal slopes where rainfall intensities of 105 and 45 mm/hr were induced with the use of nozzles. Results show that for the given slope combination, the model was capable of simulating the flow coming from the rill and interrill areas for the two different rainfall intensities. It was found that significantly more of the flow occurred in the form of the rill flow. The model studied here can be used for the better prediction of overland flow and can also be used as a building block for an associated erosion and sediment transport model.


1992 ◽  
Vol 6 (1-4) ◽  
pp. 257-301 ◽  
Author(s):  
Akimi Serizawa ◽  
Isao Kataoka ◽  
Itaru Michiyoshi

1992 ◽  
Vol 23 (2) ◽  
pp. 89-104 ◽  
Author(s):  
Ole H. Jacobsen ◽  
Feike J. Leij ◽  
Martinus Th. van Genuchten

Breakthrough curves of Cl and 3H2O were obtained during steady unsaturated flow in five lysimeters containing an undisturbed coarse sand (Orthic Haplohumod). The experimental data were analyzed in terms of the classical two-parameter convection-dispersion equation and a four-parameter two-region type physical nonequilibrium solute transport model. Model parameters were obtained by both curve fitting and time moment analysis. The four-parameter model provided a much better fit to the data for three soil columns, but performed only slightly better for the two remaining columns. The retardation factor for Cl was about 10 % less than for 3H2O, indicating some anion exclusion. For the four-parameter model the average immobile water fraction was 0.14 and the Peclet numbers of the mobile region varied between 50 and 200. Time moments analysis proved to be a useful tool for quantifying the break through curve (BTC) although the moments were found to be sensitive to experimental scattering in the measured data at larger times. Also, fitted parameters described the experimental data better than moment generated parameter values.


1998 ◽  
Vol 63 (3) ◽  
pp. 293-298
Author(s):  
Vladislav Holba

The solubilities of cesium dianilinetetraisothiocyanatochromate(III) in water as well as in aqueous methanol, isopropyl alcohol, tert-butyl alcohol and acetonitrile were measured as a function of temperature and solvent composition. The Gibbs energies, enthalpies and entropies of transfer of the salt from water to the given solvents have been evaluated from experimental data. The contribution of [Cr(C6H5NH2)2(NCS)4]- ion to the Gibbs energy of transfer of the investigated salt has been calculated using the tetraphenylarsonium tetraphenylborate (TATB) reference electrolyte assumption.


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