Analytical Solutions of One-Dimensional Contaminant Transport in Soils with Source Production-Decay

Abstract

An analytical solution in closed form of the advection-dispersion equation in one-dimensional contaminated soils is proposed in this paper. This is valid for non-conservative solutes with first order reaction, linear equilibrium sorption, and a time-dependent Robin boundary condition. The Robin boundary condition is expressed as a combined production-decay function representing a realistic description of the source release phenomena in time. The proposed model is particularly useful to describe sources as the contaminant release due to the failure in underground tanks or pipelines, Non Aqueous Phase Liquid pools, or radioactive decay series. The developed analytical model tends towards the known analytical solutions for particular values of the rate constants.

Моделювання Динаміки Концентрацій Шкідливих Викидів Автотранспорту На Основі Поєднання Методів Інтервального Аналізу Та Онтологічного Підходу

“…Для моделювання процесів забруднення приземистого шару атмосфери шкідливими викидами нестаціонарними джерелами забруднення, наприклад автотранспорту, часто використовують диференціальні рівняння, або ж їх різницеві аналоги [10][11][12][13]. Для структурної ідентифікації різницевих рівнянь використовують метод побудований на основі поведінкових моделей бджолиної колонії [7].…”

Generalized Analytical Solutions of The Advection-Dispersion Equation with Variable Flow and Transport Coefficients

“…In various previous studies, groundwater velocity has often been treated as a constant mean value [13][14][15][16][17][18][19]. In theoretical and field analyses, longitudinal dispersivity is scale-dependent due to the influence of natural heterogeneities that produce irregular flow patterns at the field scale [20][21][22].…”

Analytical Solution of 1D Advection-Dispersion Equation In Finite Groundwater Reservoir With Spatially Dependent Dispersivity And Two Inputs Sources With Source-Sink Term Impact

“…Several radionuclides are members of a radionuclide decay chain. A lot of researchers have developed various models involving sets of advective-dispersive transport equations coupled by first-order decay (Van Genuchten, 1985 ;Suk, 2013 ;Chen et al, 2019;Yu et al, 2019) but analytical solutions in closed form that consider both production and decay at the source are scarcely available (Paladino et al, 2018;Moranda et al, 2018;Sanskrityayn et al, 2017). In order to illustrate the model, the following example of application has been considered: a transport of a second member of radionuclide decay chain during its movement into groundwater with two sources…”