Riverbank filtration (RBF) is a natural technology that is used for river water treatment. This research seeks to investigate the effect of pumping rate on the transport of colloids in RBF. However, this work considered Dissolved Organic Matter (DOM) as a nutrient for bacteria. The mathematical model consists of groundwater flow equation and colloids concentration equations. The equations were solved analytically using parameter expanding method and Eigen function expansion techniques. The results obtained are presented graphically and discussed. It was observed that increase in pumping rate value enhance both the hydraulic head and concentration of colloids which slightly reduces the quality of pumped water from RBF. Keywords: Riverbank filtration, analytical model, colloids, hydraulic head and pumping rat
ABSTRACT:The study was designed to investigate the analytical simulation of two dimensional advection dispersion equation of contaminant transport. The steady state flow condition of the contaminant transport where inorganic contaminants in aqueous waste solutions are disposed of at the land surface where it would migrate through the verdoze zone to underground water is considered. We solved the two dimensional advection dispersion equation analytically which is solute transport model without sorption or degradation using change of variable method. We critically reviewed two dimensional equations depicting the transport of contaminant in groundwater and investigate with the help of graphical representation the effect of Peclet number on the concentration of contaminant and established real life interpretation of contaminant transport. Two cases were considered, when Peclet number is less than one and when Peclet number is greater than one. The result obtained revealed that the contaminant concentration increases along x direction and decreases along y direction for both values of peclet number greater than one and less than one. The study has contributed to knowledge through the method utilized to achieve the model analytical solution and the Physical interpretation of Peclet number. From the analysis, we recommend for further studies on the contaminant transport which also depends on the available data, that the extension of advection -dispersion model to three dimensions and comparison of travel time of contaminant transport solution to Kinetic or multi-component mode.© JASEM https://dx.doi.org/10.4314/jasem.v21i5.6
ABSTRACT:Groundwater is a major source of water for irrigation purposes and for sustainable growth of Agricultural development. In this paper we formulated a mathematical model to analyse the interaction between the Draw-down levels in an unconfined aquifer with maize yield, using the parameters; aquifer recharged rate α, rate of interaction between the draw down level of the aquifer and the maize yield β, draw down level of the aquifer h, and the maize yield y. The aim of this paper is to analyse the interaction between crop yield and water table and to determine the effect of draw down level on maize yield. It was observed that the maize yield depends on the recharge rate of the aquifer α and the water table level h and also as the drawdown level increases, the maize yield increases. Agriculture is of paramount importance to the development of any country, it was established in this paper that a relatively small increase of water table depth beyond the optimum increase the surface irrigation requirement for maximum crop production, water
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