Mathematical modelling as a management tool for water quality control of the tropical Beberibe estuary, NE Brazil

Abstract

Sewage disposal in natural waters is a common problem in most countries. Large inputs of organic matter and nutrients from raw sewage to a weak hydrodynamic environment may lead to deterioration of the water quality. Widely available riverine and estuarine models such as QUAL-2E and MUDLARK can be used to adequately model these situations. Beberibe is a low hydrodynamic estuary that runs through a densely populated region in the Recife Metropolitan Area (RMA), Northeast Brazil, and receives untreated domestic sewage from aproximately 200 000 inhabitants. The mouth of the estuary is shallow and tortuous, causing a large reduction in tidal propagation. The low river flow is strongly influenced by rain seasonality at the upstream boundary, with mean values varying from 4.9 m³ s⁻¹ in the wet winter to 1.4 m3 s⁻¹ during the dry summer. A major program to build sewage plants was planned to increase the water quality of the RMA rivers. This study focuses on water quality modelling of the Beberibe estuary basin, formed by the Beberibe River and two small tributaries. Numerical simulations of temperature, dissolved oxygen, biochemical oxygen demand, nitrate, ammonia, phosphate and faecal coliforms were carried out, targeting the expected population growth in the following 20 years. The QUAL-2E and the MUDLARK models were coupled at the tidal intrusion limit, with the estuarine sector modelled by the MUDLARK while QUAL-2E was used in the upper river. A longitudinal dispersion coefficient related to tidal excursion was introduced into the MUDLARK algorithm to better determine the tidal effect on the distribution of water quality variables. Both models were calibrated successfully and verified with a 4 year water quality data series from the Pernambuco State Environmental Agency (Companhia Pernambucana do Meio Ambiente — CPRH). Results showed that the river flow is a major factor controlling the water quality. Even the most efficient treatment applied was not able to bring water quality up to all desirable levels during dry summer months, mainly considering dissolved oxygen and biochemical oxygen demand. Results also confirm that the spring-neap cycle does not significantly affect water quality, probably due to the strong tidal attenuation at the estuary mouth.