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Analytical solution for one - dimensional solute dispersion with time - dependent source concentration along uniform groundwater flow in a homogeneous porous formation / Kumar Singh, Mritunjay in Journal of engineering mechanics, Vol. 138 N° 8 (Août 2012) 

Public ISBD [article]  in Journal of engineering mechanics > Vol. 138 N° 8 (Août 2012) . - pp.1045–1056. Titre : Analytical solution for one - dimensional solute dispersion with time - dependent source concentration along uniform groundwater flow in a homogeneous porous formation Type de document : texte imprimé Auteurs : Kumar Singh, Mritunjay, Auteur ; Shafique Ahamad, Auteur ; Singh, Vijay P., Auteur Année de publication : 2012 Article en page(s) : pp.1045–1056. Note générale : Mécanique appliquée Langues : Anglais (eng) Mots-clés : Solute  transport  Groundwater  contamination  Aquifer  Analytical  solution Résumé : An analytical solution for the space-time variation of contaminant concentration in one-dimensional uniform groundwater flow in a homogenous semi-infinite porous formation (e.g., aquifer) subjected to time-dependent source contamination is derived. The temporally dependent dispersion in the aquifer is investigated under two conditions. First, the temporally dependent dispersion distribution in the aquifer is considered as a sinusoidally varying function and, second, the temporally dependent dispersion distribution is treated as an exponentially increasing function of time. It is assumed that initially the aquifer is not solute free; i.e., the aquifer is not clean and the initial concentration is an exponentially decreasing function of the space variable and is tending to zero toward infinity. The concept that dispersion is directly proportional to the seepage velocity is employed. The analytical solution is illustrated using an example and may help benchmark a numerical code and solution. ISSN : 0733-9399 En ligne : http://ascelibrary.org/doi/abs/10.1061/%28ASCE%29EM.1943-7889.0000384 [article] Analytical solution for one - dimensional solute dispersion with time - dependent source concentration along uniform groundwater flow in a homogeneous porous formation [texte imprimé] / Kumar Singh, Mritunjay, Auteur ; Shafique Ahamad, Auteur ; Singh, Vijay P., Auteur . - 2012 . - pp.1045–1056. Mécanique appliquée Langues : Anglais (eng) in Journal of engineering mechanics > Vol. 138 N° 8 (Août 2012) . - pp.1045–1056. Mots-clés : Solute  transport  Groundwater  contamination  Aquifer  Analytical  solution Résumé : An analytical solution for the space-time variation of contaminant concentration in one-dimensional uniform groundwater flow in a homogenous semi-infinite porous formation (e.g., aquifer) subjected to time-dependent source contamination is derived. The temporally dependent dispersion in the aquifer is investigated under two conditions. First, the temporally dependent dispersion distribution in the aquifer is considered as a sinusoidally varying function and, second, the temporally dependent dispersion distribution is treated as an exponentially increasing function of time. It is assumed that initially the aquifer is not solute free; i.e., the aquifer is not clean and the initial concentration is an exponentially decreasing function of the space variable and is tending to zero toward infinity. The concept that dispersion is directly proportional to the seepage velocity is employed. The analytical solution is illustrated using an example and may help benchmark a numerical code and solution. ISSN : 0733-9399 En ligne : http://ascelibrary.org/doi/abs/10.1061/%28ASCE%29EM.1943-7889.0000384