Finite Difference Method for Computation of 1D Pollutant Migration through Saturated Homogeneous Soil Media

Chakraborty, Ritwik; Ghosh, Ambarish

doi:10.1061/(asce)gm.1943-5622.0000068

Cited by 17 publications

(4 citation statements)

References 28 publications

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“…Analytical and numerical approaches have been used by many researchers to solve ADE with uniform/temporal dependent solute concentration [1][2][3][4][5][6]. The sorption of solute in the porous medium is also taken into consideration by many researchers along with its transport [7][8][9][10]. Geological formations such as aquifers are treated as primary storage of fresh water.…”

Section: Introductionmentioning

confidence: 99%

Study of solute dispersion under linear sorption in a semi-infinite porous formation

Paul

Mahato

Singh

2022

J. Phys.: Conf. Ser.

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Solute dispersion in a porous formation is Mathematically expressed by partial differential equation well known as advection-dispersion equation (ADE). The present study deals with the solute transport governing equation in a semi-infinite homogeneous porous formation under linear sorption. A constant background solute concentration is assumed initially throughout the solute transport domain. Dirichlet and Neumann type boundary conditions are considered to examine the solute concentration distribution profile in the semi-infinite porous medium. The analytical and numerical solutions of the model problem are derived by Laplace transform technique and Crank-Nicolson method, respectively. Solute dispersion behaviour is studied for various form of flow velocities. Solutions obtained by analytical and numerical techniques are illustrated graphically with the help of MATLAB software. Also, the numerical solution is compared with the analytical solution and found great similarity between them.

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Section: Introductionmentioning

confidence: 99%

Study of solute dispersion under linear sorption in a semi-infinite porous formation

Paul

Mahato

Singh

2022

J. Phys.: Conf. Ser.

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“…the soil property changes due to contamination and many toxic gases like nitrous oxide carbon dioxide and methane. The contamination by physical processes advection, dispersion, and diffusion and sorption, biodegradation many processes have been considered in governing equation are used [3]. The analytical solution of ADE of solute transport is obtaining is vast and tedious so numerical solution by finite difference method (FDM) and finite element methods (FEM) have proved difficult especially for advection dominated problems.…”

Section: Introductionmentioning

confidence: 99%

Groundwater Solute Transport Modeling: Effects of Transport and Fate

Kumar¹,

Singh²

2019

IJRTE

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 Abstract: In this paper, the solution of the advection-dispersion equation with different sorption values is used for the prediction of solute concentration in groundwater. Sorption process in the groundwater is complex, due to increasing the groundwater pollution the effect of different chemical transport plotted. The fate and sorption process of different chemical different degradation constant. We used the analytical solution to evaluate the transport phenomenon and analysis of the chemical dissolved in groundwater. The solute transport model simulated with the analytical solution and final result obtained using MATLAB software. The solution of a test problem based on the sequential degradation of the different chemical in the groundwater. This solution of equilibrium and rate of sorption dynamics of processes is imperative for accurate fate and transport modeling. The present study shows the effects of advection, dispersion/diffusion, and sorption equation on the saturated media of soil. MATLAB software used for analyzing the solution of groundwater and showing the different case taking care of saturated aquifer and with different void ratio of soil its shows that the soil parameter is also impotent parameter and its effect can see in plot between concertation vs time. The solute transport model simulated with the analytical solution and final result obtained using MATLAB software. The solution of a test problem based on the sequential degradation of the different chemical in the groundwater. This study compares the solute concentration with respect to distance and its different hydraulics conductivity of dense sad and lose.

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“…In addition, the K‐value, which is a measure of elemental mobility, was also calculated for each element. The elemental mobility of solutes in the soil is highly dependent on the soil's chemical and physical properties . Hence, the chemical (elemental analysis, mineralogical structure, pH, and electrical conductivity [EC]) and physical (the number of blows N 30 , the stiffness index Ic, the liquidity index LI, the plasticity index PI, and the water content Wn) soil properties were analyzed along vertical soil profiles at nine different sampling sites at 1.5‐m intervals up to a depth of 15 m. The heavy metal concentrations and the soil's chemical and physical properties were statistically evaluated by means of analysis of variance (ANOVA) and Pearson correlations.…”

Section: Introductionmentioning

confidence: 99%

Investigation of heavy metal distributions along 15 m soil profiles using EDXRF, XRD, SEM‐EDX, and ICP‐MS techniques

et al. 2018

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The research of soil contamination by heavy metal is an important field due to its environmental and health implications. The goal was to study the elemental mobility as a function of depth. For this reason, the distribution of heavy metals (V, Cr, Co, Ni, Cu, Zn, As, Sn, and Pb) was investigated along soil profiles up to a depth of 15 m at 9 sampling sites in the Nilufer industrial district (Bursa, Turkey). Elemental analyses were done with the Epsilon 5 energy dispersive X‐ray fluorescence and inductively coupled plasma mass spectrometry equipment. Particle analysis was performed with a JEOL scanning electron microscope equipped with a Si(Li) X‐ray detector. The crystallographic compositions of oxide compounds in soil samples were identified by a Rigaku X‐ray diffraction instrument. Different parameters such as the soil's chemical (mineralogical structure, pH, and electrical conductivity) and physical properties (the number of blows, the stiffness index, the liquidity index, the plasticity index, and the water content) were analyzed. To assess the mobility of the heavy metals, diffusion (D) and convection coefficients (ʋ) were calculated with the finite difference method. Convection was determined to dominate the studied region. In addition, the mobility coefficient was determined for each metal. High mobilities were determined for Zn and V, moderate mobilities for Cr, Ni, Cu, and As, and low mobilities were determined for Co and Pb. The results revealed that elements had reached depths of up to 15 m, causing irreversible soil contamination that may lead to environmental health issues.

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Finite Difference Method for Computation of 1D Pollutant Migration through Saturated Homogeneous Soil Media

Cited by 17 publications

References 28 publications

Study of solute dispersion under linear sorption in a semi-infinite porous formation

Study of solute dispersion under linear sorption in a semi-infinite porous formation

Groundwater Solute Transport Modeling: Effects of Transport and Fate

Investigation of heavy metal distributions along 15 m soil profiles using EDXRF, XRD, SEM‐EDX, and ICP‐MS techniques

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