Analysis of 1-D pollutant transport in semi-infinite groundwater reservoir

Chaudhary, Manish; Thakur, Chandan Kumar; Singh, Mritunjay Kumar

doi:10.1007/s12665-019-8748-4

Cited by 16 publications

(6 citation statements)

References 42 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…They found that explicit finite difference method is successful and exact for solving 1D advection-diffusion equation with steady coefficients in semi-infinite media, which is particularly essential when arbitrary initial and boundary conditions are recommended. Furthermore, Chaudhary et al (2020) examined 1D pollutant transport by application of the Dirichlet and Neumann boundary conditions and examined the pollutant dissemination in several porous media. The results obtained for the study of transport parameter demonstrates the great appropriateness of the proposed numerical model in more actual problems.…”

Section: Comparative Studymentioning

confidence: 99%

Use of COMSOL software for modeling and simulation of copper removal in a dynamic mode on a new biowaste

Turkman

Moulai‐Mostefa

Bouras

2022

Water Environment Research

View full text Add to dashboard Cite

The main purpose of this investigation is to model the results related to biosorption using COMSOL (Multiphysics 4.3a), and to solve the advection‐dispersion equation by using both linear and Langmuir models. A bidimensional model was then proposed to study the mass transfer in the process of copper ions sorption in a dynamic mode on cider vinegar residues. Sorption tests were realized by evaluating the influence of flow rate (0.75, 1, and 2.65 ml min−1), bed height (3.5, 7 and 8.5 cm), and copper initial concentration (169 and 300 mg L−1). For all cases, the mathematical formulation was solved by assuming that the column is homogeneous and the sorption is instantaneous. The corresponding results were exploited through breakthrough curve profiles, where it was shown that the solutions obtained by the “Langmuir COMSOL” model coincide with the experimental values. In contrast, the linear model has been unable to fit them. The optimal results were analyzed by Thomas, Adam‐Bohart Yoon Nelson, and Ogata‐Bank models, which proves that the Thomas method is well adapted with a satisfactory correlation coefficient (0.93). Further, the model validation was performed by determining the residual root mean square error, which was found less than 0.3, thereby indicating a reasonable concordance between the estimated and experimental points. The high sorption capacity obtained was around of 41.37 mg g−1, which suggests that the cider vinegar residues can be exploited as a low‐cost, available, and effective sorbent biomass in the field of the treatment of industrial effluents. Practitioner Points Cider vinegar residues (CVR) as low cost biosorbent were studied for continuous biosorption. A successful COMSOL model was proposed and validated. CVR is an effective biosorbent for copper fixed bed biosorption. High sorption capacity was around of 41.37 mg g−1 under optimal conditions.

show abstract

Section: Comparative Studymentioning

confidence: 99%

Use of COMSOL software for modeling and simulation of copper removal in a dynamic mode on a new biowaste

Turkman

Moulai‐Mostefa

Bouras

2022

Water Environment Research

View full text Add to dashboard Cite

show abstract

“…Groundwater flow is considered along the x-axis in a finite media, means the direction of the flow of water is from x = 0 to x = l. Before the pollutant's source is injected in the reservoir, it is supposed to contain a certain quantity of the solute concentration in the liquid phase with arbitrary space variable distribution in the flow direction and in the solid phase with uniform distribution as proposed by Thakur et al (2019). For short special domain, Chaudhary et al (2020) proposed to use exp(−sec(λx)) because its decreasing rate is much slower than exponential and could well represent slow movement of groundwater. The initial condition may be written in general form as follows…”

Section: Mathematical Formulation and Analytical Solutionmentioning

confidence: 99%

“…Input parameters, used here, are kept from Carntrell et al (2003), ICRP (2012), Chen et al (2019), Chaudhary et al (2020 except for input concentration value and are summarized in Table 1.…”

Section: Example Of Applicationmentioning

confidence: 99%

See 1 more Smart Citation

Analytical Solution of 1D Advection-Dispersion Equation In Finite Groundwater Reservoir With Spatially Dependent Dispersivity And Two Inputs Sources With Source-Sink Term Impact

Tjock-Mbaga

Abiama

Ema’a

et al. 2021

Preprint

View full text Add to dashboard Cite

This study derives an analytical solution of a one-dimensional (1D) advection-dispersion equation (ADE) for solute transport with two contaminant sources that takes into account the source term. For a heterogeneous medium, groundwater velocity is considered as a linear function while the dispersion as a nth-power of linear function of space and analytical solutions are obtained for and . The solution in a heterogeneous finite domain with unsteady coefficients is obtained using the Generalized Integral Transform Technique (GITT) with a new regular Sturm-Liouville Problem (SLP). The solutions are validated with the numerical solutions obtained using MATLAB pedpe solver and the existing solution from the proposed solutions. We exanimated the influence of the source term, the heterogeneity parameters and the unsteady coefficient on the solute concentration distribution. The results show that the source term produces a solute build-up while the heterogeneity level decreases the concentration level in the medium. As an illustration, model predictions are used to estimate the time histories of the radiological doses of uranium at diﬀerent distances from the sources boundary in order to understand the potential radiological impact on the general public.

show abstract

“…In this research, three-dimensional pollutant transport equation is used as mathematical model which is solved by modular three dimensional transport model and fluid flow is solved by modular finite difference flow model. The investigation on one-dimensional pollutant transport model for both homogenous and heterogenous media was conducted by Chaudhary et al [12]. In this research pollutant concentration is considered in both liquid and solid phase and implicit Crank-Nicolson approach is adopted as numerical method.…”

Section: Introductionmentioning

confidence: 99%

Pollutant transport in a homogenous aquifer with plate stacks

Kubra,

Lehre,

McKibbin

et al. 2024

Preprint

View full text Add to dashboard Cite

This study aims at investigating the numerical analysis of pollutant transport in homogenous porous media in the presence of plate stacks. The investigation is performed for solid objects of the same size placed in an inline arrangement in a homogenous porous media. The pollutant transport equation (i.e., steady-state and time-dependent advection-diispersion) is chosen in mathematical modeling. Furthermore, on basis of dispersion coefficient, three more cases arise which include uniformly constant, dependence on the magnitude of velocity, and dependence on both magnitude of velocity and its direction. Such models have a wide range of applications. Generally, the analytical solution of such problems doesn’t exist, so all the work is done numerically. The governing partial differential equation of pollutant concentration is approximated by using finite difference technique. Central and one-sided finite difference formulae are used to discretize the domain. MATLAB software is used to compute approximations to velocity potential and stream function. Then equipotential lines and streamlines are visualized in form of contours. Both, velocity potential and stream function satisfy Laplace’s equation and they are harmonic. Fluid flow lines and pollutant concentration are represented graphically for various parameters involved. It is observed that the size, shape, and position of pervious objects, entrance length of the domain affect fluid flow and pollutant transport. However, there is no significant effect of heated objects on pollutant transport. Moreover, advection and dispersion depend upon the permeability of porous media and the properties of the solid matrix.

show abstract

Analysis of 1-D pollutant transport in semi-infinite groundwater reservoir

Cited by 16 publications

References 42 publications

Use of COMSOL software for modeling and simulation of copper removal in a dynamic mode on a new biowaste

Use of COMSOL software for modeling and simulation of copper removal in a dynamic mode on a new biowaste

Analytical Solution of 1D Advection-Dispersion Equation In Finite Groundwater Reservoir With Spatially Dependent Dispersivity And Two Inputs Sources With Source-Sink Term Impact

Pollutant transport in a homogenous aquifer with plate stacks

Contact Info

Product

Resources

About