Abstract:
Nitrogen is a vital nutrient that enhances plant growth which has motivated the
intensive use of nitrogen-based fertilizers to boost crop productivity. However, Pollution by nitrate
is a globally growing problem due to the population growth, increase in the demand for food and
inappropriate Nitrogen application. The complexities and challenges in quantifying nitrate
leaching have led to development of a range of measurement and modeling techniques. However, most
of them are not widely applied due to their inaccuracy. This calls for new approaches in which nitrate
leaching can be analysed in order to give better understanding of nitrate fate and transport process for
proper management of groundwater. This s t u d y has developed a mathematical model to
analyse nitrate leaching into groundwater from the advection-dispersion equation. The advection-dispersion equation is modified by incorporating soil porosity and transformed to a second order
ordinary differential equation by Laplace and solved. Simulations showing the variation of soil
porosity is presented using the MATLAB software. The study has shown that nitrate leaching to
groundwater is directly proportional to soil porosity such that more porous soil will allow more
nitrate to reach to the groundwater within a short time leading to faster contamination of
groundwater. The results is useful to farmers, policy makers, researchers and the general public for
the purpose of understanding movement of nitrates through the soil and also provide science-based
input into best alternative mathematical model which can be used to analyse leaching of nitrate into
groundwater
