Two-dimensional advection-dispersion equation with depth-dependent variable source concentration

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CHATTERJEE A.; SINGH M.K.

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Journal: POLLUTION Year:2018 | Volume:4 | Issue:1 Page(s): 1-8

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Title

Two-dimensional advection-dispersion equation with depth-dependent variable source concentration

Author(s)

CHATTERJEE A. | SINGH M.K. | Issue Writer Certificate

Keywords

Solute transport

Aquifer

Line source

Numerical solution

Abstract

The present work solves two-dimensional Advection-Dispersion Equation (ADE) in a semi-infinite domain. A variable source concentration is regarded as the monotonic decreasing function at the source boundary (x=0). Depth-dependent variables are considered to incorporate real life situations in this modeling study, with zero flux condition assumed to occur at the exit boundary of the domain, i. e. its semi-infinite part. Without losing any generality, one can consider that the Aquifer is initially contamination-free. Thus, the current study explores variations of two-dimensional contaminant concentration with depth throughout the domain, showing them graphically. Non-point source problem, i. e. the Line source problem, can be discussed by solving two-dimensional depth-dependent variable source problem, as x=0 is a 2D line. A new transformation has been used to transform the time-dependent ADE to one with constant coefficients, with Matlab (pdetool) being employed in order to solve the problem, numerically, using finite element method.

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APA: Copy

CHATTERJEE, A., & SINGH, M.K.. (2018). Two-dimensional advection-dispersion equation with depth-dependent variable source concentration. POLLUTION, 4(1), 1-8. SID. https://sid.ir/paper/348773/en

Vancouver: Copy

CHATTERJEE A., SINGH M.K.. Two-dimensional advection-dispersion equation with depth-dependent variable source concentration. POLLUTION[Internet]. 2018;4(1):1-8. Available from: https://sid.ir/paper/348773/en

IEEE: Copy

A. CHATTERJEE, and M.K. SINGH, “Two-dimensional advection-dispersion equation with depth-dependent variable source concentration,” POLLUTION, vol. 4, no. 1, pp. 1–8, 2018, [Online]. Available: https://sid.ir/paper/348773/en

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