A mathematical model for pollution in a river and its remediation by aeration

Abstract

a b s t r a c tWe present a simple mathematical model for river pollution and investigate the effect of aeration on the degradation of pollutant. The model consists of a pair of coupled reaction-diffusion-advection equations for the pollutant and dissolved oxygen concentrations, respectively. The coupling of these equations occurs because of reactions between oxygen and pollutant to produce harmless compounds. Here we consider the steady-state case in one spatial dimension. For simplified cases the model is solved analytically. We also present a numerical approach to the solution in the general case. The extension to the transient spatial model is relatively straightforward. The study is motivated by the crucial problem of water pollution in many countries and specifically within the Tha Chin River in Thailand. For such real situations, simple models can provide decision support for planning restrictions to be imposed on farming and urban practices.

Characteristics of Sediment Bacterial Community in Response to Environmental Impacts in a Sewage Polluted River

“…Rivers also serve as the main sources of municipal, agricultural and industrial water for residents living in the basin. However, river pollution by increasing untreated or partly treated wastewater is threatening human health and ecological systems worldwide ( Pimpunchat et al, 2009 ) . This situation is more serious in developing countries owing to rapid industrialization and urbanization ( Su et al, 2011) .…”

Concepts and importance of mathematical modeling of water quality for water resources management

“…Diante disso, a poluição dos cursos hídricos é um dos problemas mais sérios de poluição nos dias atuais, causando a morte de aproximadamente 25 milhões de pessoas todos os anos (PIMPUNCHAT et al, 2009). Na busca por resoluções eficientes para esses problemas ambientais, os gestores se deparam com um número crescente de tecnologias potencias e programas de modelagem.…”

Modeling of microbial approach in wastewater treatment process: A case study of mPHO in Taman Timor oxidation pond, Johor, Malaysia

“…Many mathematical models have been developed to help the conservation and preservation of water in a given locality. For instance, a study carried out on Tha Chin river stream in Thailand, which considered the effect of substances contaminated with dissolved oxygen [5]. This study proposed the model of two-dimensional coupled advection-dispersion equations for both state variables, respectively.…”

“…Based on the given data, we want to determine the unknown parameters in equations (1-4) This cost function has to be minimized subject to the mathematical model, which has been described in (5). The current schedule of mPHO gave us the following parameters for the problem.…”