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A double exponential model for biochemical oxygen demand.

Ian G Mason¹, Robert I McLachlan, Daniel T Gérard

¹Institute of Technology and Engineering, Massey University, Palmerston North, New Zealand. ian.mason@canterbury.ac.nz

Bioresource Technology

|June 11, 2005

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A new double exponential model accurately describes biochemical oxygen demand (BOD) exertion in dairy wastewater. This model, accounting for rapidly and slowly degradable compounds, offers a better fit than traditional single exponential models for wastewater treatment analysis.

Area of Science:

Environmental Science
Environmental Engineering
Biotechnology

Background:

Biochemical oxygen demand (BOD) is a critical parameter for assessing organic pollution in wastewater.
Understanding BOD exertion patterns is essential for optimizing wastewater treatment processes.
Existing models often fail to fully capture the complex degradation kinetics in treated dairy wastewater.

Purpose of the Study:

To investigate biochemical oxygen demand (BOD) exertion patterns in anaerobically treated farm dairy wastewater.
To develop and validate a multi-species, double exponential model for BOD exertion.
To compare the performance of the double exponential model against conventional single exponential and mixed order models.

Main Methods:

Laboratory-scale experiments were conducted to measure oxygen uptake in treated dairy wastewater.

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A double exponential model was formulated to represent BOD exertion by considering rapidly and slowly degradable organic matter.

The model's accuracy was evaluated by comparing its fit to experimental data and existing datasets from other wastewaters, using mean square error as a metric.

Main Results:

The double exponential model effectively characterized the oxygen uptake, including rapid exertion, a transitional phase, and slower activity.
Rate constants for rapidly degradable material (k(1)) ranged from 2.74 to 17.36 d⁻¹, and for slowly degradable material (k(2)) averaged 0.25 d⁻¹.
The double exponential model showed significantly lower mean square errors (70% reduction on average) compared to the single exponential model, indicating a superior fit.

Conclusions:

The double exponential model provides a more accurate representation of BOD exertion in anaerobically treated dairy wastewater than the conventional single exponential model.
The model's parameters, particularly the first rate constant (k(1)), may indicate the presence of rapidly degradable organic matter.
Further research is needed to refine the model for transitional and lag phases in BOD exertion patterns.