Non-Stationary Contaminant Plumes in the Advective-Diffusive Regime

Alhama, Iv�n; Garc�a-Ros, Gonzalo; Icardi, Matteo

Abstract

Porous media with low/moderate regional velocities can exhibit a complex dynamic of contamination plumes, in which advection and molecular diffusion are comparable. In this work, we present a two-dimensional scenario with a constant concentration source and impermeable upper and lower boundaries. In order to characterise the plume patterns, a detailed discriminated dimensionless technique is used to obtain the dimensionless groups that govern the problem: an aspect ratio of the domain including characteristic lengths, and two others relating time and the horizontal length of the spread of contamination. The monomials are related to each other to enable their dependences to be translated into a set of new universal abacuses. Extensive numerical simulations were carried out to check the monomials and to plot these type curves. The abacuses provide a tool to directly manage the contamination process, covering a wide spectrum of possible real cases. Among other applications of interest, they predict the maximum horizontal and transversal plume extensions and the time-spatial dependences of iso-concentration patterns according to the physical parameters of the problem.

Citation

Alhama, I., García-Ros, G., & Icardi, M. (2021). Non-Stationary Contaminant Plumes in the Advective-Diffusive Regime. Mathematics, 9(7), 1-25. https://doi.org/10.3390/math9070725

• Journal Article Type: Article
• Acceptance Date: Mar 25, 2021
• Online Publication Date: Mar 27, 2021
• Publication Date: Apr 1, 2021
• Deposit Date: Jun 1, 2022
• Publicly Available Date: Jun 14, 2022
• Journal: Mathematics
• Electronic ISSN: 2227-7390
• Publisher: MDPI
• Peer Reviewed: Peer Reviewed
• Volume: 9
• Issue: 7
• Article Number: 725
• Pages: 1-25
• DOI: https://doi.org/10.3390/math9070725
• Public URL: https://nottingham-repository.worktribe.com/output/5433810
• Publisher URL: https://www.mdpi.com/2227-7390/9/7/725