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

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 consta...

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Bibliographic Details
Published in:Journal of physics. Conference series 2022-09, Vol.2349 (1), p.12004
Main Authors: Paul, T, Mahato, N K, Singh, R K
Format: Article
Language:English
Subjects:
Advection-dispersion equation
Analytical solution
Boundary conditions
Dirichlet problem
Dispersion
Exact solutions
Flow velocity
Linear sorption
Numerical solution
Partial differential equations
Physics
Porous media
Porous medium
Sorption
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Summary: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.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/2349/1/012004