Sewage discharge and water self-decay: Streeter and Phelps model application

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Sewage discharge and water self-decay: Streeter and Phelps model application Amanda de Cássia da Cunha1 · Cassiana Maria Reganhan Coneglian1 · Elaine Cristina Catapani Poletti1

Received: 21 July 2017 / Accepted: 13 October 2017 © SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional 2017

Abstract Due to the high waste deposition in superficial water, studies are necessary to emphasize the importance to monitor and apply tools, such as mathematical modelling. In this study, we used the classic Streeter and Phelps model to simulate the travel time necessary to depurate organic matter in the Tatu stream, at Limeira, São Paulo, Brazil, and to simulate the point-to-point depuration of organic matter in comparison to point-to-point empirical analysis. According to the simulations, organic matter would be established to 10 mg/L O2 in few hours of time course of water without discharges in the stream, having the watercourse self-decay capacity. In addition, the analysis indicates that possible launches are being carried out along the stream, because, at the collection points, the obtained results presented higher biochemical oxygen demand than the expected for organic matter depuration, which denote discharges occurrences. Thus, this study emphasizes the relevance of monitoring actions and puts the model as a suitable tool to identify discharge sources in water. Keywords Superficial water quality · Dissolved oxygen (DO) · Water management · Water reoxygenation · Water deoxygenation Mathematics Subject Classification 34-00 · 92B05

Communicated by Jose Alberto Cuminato.

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Amanda de Cássia da Cunha [email protected] Cassiana Maria Reganhan Coneglian [email protected] Elaine Cristina Catapani Poletti [email protected]

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University of Campinas, Paschoal Marmo, 1888, Limeira, SP CEP: 13484-332, Brazil

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A. de Cássia da Cunha et al.

1 Introduction The superficial water quality of the planet has been changed due to the great exploration of the natural element (Jiang 2017), that is increasingly being used as domestic, industrial, and agricultural discharge source without proper control or authorization in several cases (Ali et al. 2012). Many Brazilian cities do not threat the wastes collected from dwellings or not even collect them, contributing to the fact that water sources are becoming sewage diluents and reservoirs (Duncan et al. 2014). Around 50% of the Brazilian population do not have access to waste collection services, and around only 43% of the waste collected is treated before being discharged in watercourses (Snis 2017). Discharges in watersheds result in increased organic matter dissolved and particulate in water (Munster and Haan 1998). The type of waste/effluent determines how much organic material will enter the water and the aspect of it (Scheili et al. 2016). Organic matter decomposition may happen by degradation of particulate organic matter into dissolved organic matter or by oxidative mining of dissolved organic matter into inorganic compounds (Wetzel et al. 1991).