Mathematical modeling of solute transport in the subsurface

Naymik, Thomas G.; Freeze, R. Allan

doi:10.1080/10643388709388335

Cited by 14 publications

(3 citation statements)

References 94 publications

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“…A number of informative reviews of solute transport modeling have been published in recent years (Addiscott and Wagenet, 1985;Bonazountas, 1991;Hem and Melancon, 1986;Jury and Fliihler, 1992;Jury and Ghodrati, 1989;Khondaker et al, 1990;Loague and Green, 1991;Nielsen et al, 1990;Naymik, 1987;van Genuchten and Shouse, 1989).…”

Section: A Modeling Approaches -Deterministic Vs Stochasticmentioning

confidence: 96%

Transport and fate of chlorinated hydrocarbons in the vadose zone — a literature review with discussions on regulatory implications

Env.

1995

Journal of Soil Contamination

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Chlorinated hydrocarbons (CHCs) are one of the pollutant groups most commonly found in hazardous waste sites. Understanding the transport and fate of these compounds in the vadose zone is crucial to identifying pollution sources, assessing the threat to groundwater, and evaluating the need and adequacy of cleanup. CHCs exist in various physical phases in the subsurface, linked by interphasal processes. These, combined with unsaturated water flow in the vadose zone, which is complicated by the multifluid (air and water) situation, geologic heterogeneity, and a highly site-specific preferential flow pattern, create a possibly four-fluid flow condition, with interactions among different phases of CHCs and between chemicals and geologic materials. Superimposed on these are various biotic and abiotic transformations. Integration of these processes is being attempted by mathematical modeling; however, natural heterogeneity and site-specific factors render these efforts partially successful at best. Regulators are faced with considerable uncertainties and cannot expect simple solutions with the current level of understanding of subsurface processes.

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Section: A Modeling Approaches -Deterministic Vs Stochasticmentioning

confidence: 96%

Transport and fate of chlorinated hydrocarbons in the vadose zone — a literature review with discussions on regulatory implications

Env.

1995

Journal of Soil Contamination

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“…His report contained a list of 138 flow models and 39 mass transport models in 14 countries. Naymik 200 presented a systematic review of 44 technically advanced articles on mathematical modeling of solute transport in the subsurface system. His review covers the period from 1980 to 1985 only.…”

Section: Critical Reviews In Environmental Controlmentioning

confidence: 99%

Groundwater contamination studies‐the state‐of‐the‐art

Khondaker¹,

Allayla²,

Husain³

1990

Critical Reviews in Environmental Control

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With the increasing sense of awareness about our environment and the recognition of the need for its protection, the study of solute transport related to groundwater contamination has become the focus of numerous researchers. Different investigators approached the problem from many view points, and the resulting achievements are so extensive and scattered that it seems essential to inventory the completed works. This paper presents a systematic study of the available theoretical and experimental works. A complete picture of the present status of the problem is also provided. Issues that remain obscure or unaddressed by the current day investigators are pointed out to facilitate future research directions and/or alternatives to advance technology for a greater understanding and more comprehensive analyses of the solute transport phenomena related to groundwater contamination.

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“…In 1980, Bachmat et al realised a numerical model related to the groundwater management. In 1987, Naymik and Freeze [13] presented a review of 44 technical advanced articles on mathematical modelling of solute transport in the surface system. Abriola [1] presented also a review paper on modelling of solute transport in groundwater.…”

Section: Introductionmentioning

confidence: 99%

Modelling the movement of groundwater pollution with variable order derivative

Kameni¹,

Djida²,

Atangana³

2017

J. Nonlinear Sci. Appl.

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In this paper, a new concept of variable differentiation is used to revisit the model of groundwater pollution. The new variable order derivation has a non-singular kernel and can be used for analytical and numerical purposes. The novel model is solved via Fourier transform method. We solve numerically the new equation using the implicit finite difference scheme and study the stability and convergence of that scheme.

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Mathematical modeling of solute transport in the subsurface

Cited by 14 publications

References 94 publications

Transport and fate of chlorinated hydrocarbons in the vadose zone — a literature review with discussions on regulatory implications

Transport and fate of chlorinated hydrocarbons in the vadose zone — a literature review with discussions on regulatory implications

Groundwater contamination studies‐the state‐of‐the‐art

Modelling the movement of groundwater pollution with variable order derivative

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