Mathematical model for estimation the concentration of heavy metals in soil

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MJ Journal on Applied Mathematics 1 (1) (2016) 16-19 Website: www.math-journals.com/index.php/JAM doi: 10.14419/jam.v1i1.39 Research paper

Mathematical model for estimation the concentration of heavy metals in soil Luma. N. M. Tawfiq *, Farah. F. Ghazi College of Education for Pure Science Ibn Al-Haitham, Baghdad University *Corresponding author E-mail: dr.lumanaji@yahoo.com

Abstract The aim of this paper is to develop a model equation that can estimate the concentration of heavy metal in the soil. The model equation was developed can be considered as a good representation of the concentration of heavy metals in soils for different depth and times depending on the practical results. That the study which applied in Qanat Aljaeesh zone in Baghdad city in Iraq. Keywords: Mathematical Model, Differential Equation, Soil Layers, Heavy Metals. AMS Subject Classification: 34K05, 34K40, 37C65, 47N50, 32W99.

1. Introduction Mathematical Models are simplified representations of some real world entity can be in equations or computer code are intended to mimic essential features while leaving out inessentials, that is, models describe our beliefs about how the world functions. Mathematical modeling aims to describe the different aspects of the real world, their interaction, and their dynamics through mathematics [1]. In this paper we study and develop a model equation that can estimate the concentration of heavy metal in the soil. Several worker have already investigated the mobility of heavy metal in the soil amended with sewage sludge and concluded that only relatively small amount of metal were available for transport in the soil water immediately after sludge application [2]. Giordano and Mortvedt [3] show that under excessive leaching condition, movement of heavy metal in soil is somewhat greater from inorganic than from complexes sources found in sewage sludge. This research work, therefore aimed at developing a mathematical model equation that estimate the concentration of heavy metals in the soil. This aim can be achieved through the realization of the following objectives:  Collection of data showing the concentration of heavy metals at different percentage of the soil with respect to distance and time.  Development of mathematical model equations for the concentration of heavy metals in the soil.  Simulation of the model equation using computer software programmed, MathLab 2014 professional. Compare the simulated result with the experimental data.

2. Soil layers Can three successive layers in soil discrimination, namely: 1) Surface layer Surface Soil: the layer that envelops the earth and depth does not exceed the kit centimeters, as they contain organic materials, and most live micro-organisms, worms and insects, and this layer is prone to erosion than others and vandalism. 2) Layer beneath the soil Subsoil: located directly under the surface layer and a small amount of humus and microorganisms compared to the surface layer.

Copyright © 2016 Luma. N. M. Tawfiq, Farah. F. Ghazi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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Mathematical model for estimation the concentration of heavy metals in soil by Luma Naji Mohammed Tawfiq - Issuu