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Talk to an Expert| Category | Assignment | Subject | Educstion |
|---|---|---|---|
| University | University of Auckland (UoA) | Module Title | ENVENG 746 Surface Water Quality Modelling |
The mid-semester report provides a comprehensive progress update, documenting work completed and outlining the path to project completion.
The report should include:
Record and submit a video presentation (MP4 format) that provides a high-level overview of your project. Prepare visual aids using PowerPoint, Prezi, Canva, or similar software. The presentation should cover:
COMPUTATIONAL MODELLING & DESIGN OF DAIRY PLANT STORAGE POND
A dairy processing plant generates wastewater that is either discharged to a nearby river or reused for land irrigation. To comply with increasingly restrictive limits on river water use, the company plans to construct a storage pond (75,000-100,000 m³) to store effluent over winter for reuse during the summer irrigation period. This approach reduces the plant’s reliance on river water while allowing seasonal management of wastewater. While maximising storage is preferred, controlled discharge to the river is permitted under specific conditions to prevent pond overflows.
Your task is to develop a STELLA systems-dynamics model to:
The mid-term and final project reports and presentations collectively account for 65% of the final course grade.
Important note: All students are expected to model pond volume, BOD, and dissolved oxygen (DO). Modelling additional processes (such as nutrients, pathogens, or algae) is optional and intended as an extension. Successful inclusion of additional processes may attract higher marks, provided the core model is robust and well-explained. However, a high-quality core model (volume, BOD, DO) is sufficient to achieve a high mark. Priority should be given to building, validating, and interpreting the core model before attempting extensions
A. Effluent Characteristics
The factory produces two effluent streams, low-strength and high-strength, which will be combined and stored in the pond (Figure 1). The characteristics of these streams are summarised in Table 1.

Figure 1: Storage Pond for the two Dairy Plant Effluent Streams
Table 1: Average Effluent Characteristics for BOD and Flow
| Parameter | Low Strength Effluent (LSE) | High Strength Effluent (HSE) | Units |
|---|---|---|---|
| BOD₅ | 26 | 470 | g/m³ |
| Dairy Effluent | Variable (see data file) | Variable (see data file) | m³/day |
Note: For students modelling parameters such as nutrients, algae, or pathogens, additional information is provided in the Appendix.
B. Pond Operation
(i) Winter – Storage Period (May to October)
(ii) Summer – Irrigation Period (November to April)
A. Pond Design Specifications
B. Steps to Building the Model
Step 1 – Representative Year Flow Data:
The purpose of Step 1 is to generate reasonable inputs for dynamic modelling, not to optimise statistical accuracy. Use the river, low-strength effluent (LSE), and high-strength effluent (HSE) flow data provided in the spreadsheet to construct a representative year of daily inflows to the pond and corresponding river flows used to determine allowable pond discharge. A simple and defensible approach is sufficient. For example, you may construct representative daily values using calendar-day medians or means derived from the available data. The dataset contains missing values (empty cells). You may deal with these in a reasonable manner, such as:
o ignoring those days, or
o replacing missing values with the most recently recorded value.
Clearly state and justify the approach you adopt. The objective of this step is to produce a reasonable and transparent set of model inputs rather than a statistically optimal dataset.
Step 2 – STELLA Modelling of the Storage Pond:
Construct a STELLA model for the pond that includes the following processes.
o Inflow: Daily LSE and HSE flows with their BOD concentrations.
o Outflow: Discharge to the river (when permitted).
o Volume: Simulate pond volume over time. Your mass balance model will calculate the change in pond storage as ΔVolume = (Inflow – Outflow)Δt.
o BOD Decay: Assume that the biological degradation of organic matter occurs via first-order decay. The BOD mass balance equation can be written as ΔMass_BOD accumulation = (Mass_BOD inflow – Mass_BOD outflow – Mass_BOD Decay)Δt, where the BOD decay rate = k_d × BOD. Typical k_d range is 0.1 – 0.3 (/day) at 20°C.
o Dissolved Oxygen Levels: Model dissolved oxygen in the pond using a simplified mass-balance approach, assuming:
– first-order reaeration from the atmosphere, and
– oxygen consumption proportional to BOD decay.
More detailed or alternative formulations may be used, but must be clearly justified and explained. You may assume the pond is completely mixed and ignore vertical stratification. Evaluate the potential for odour generation, for example, when the DO concentration falls below 2 mg/L. Exploring mitigation strategies (such as mechanical aeration to increase the reaeration rate) may attract additional marks, provided the approach is physically reasonable and clearly explained.
o For students modelling other process variables: Students constructing a more advanced model can include the effect of temperature and the use of an aeration device on BOD and oxygen levels in the storage pond, and the changes in other process variables, such as algae, nitrogen (organic nitrogen, ammonia, nitrite, and nitrate), phosphorus, and pathogens. I am providing the following guidance to enable students to decide which additional processes to model.
| Extension | Complexity | Data Provided | Recommended for |
|---|---|---|---|
| Temperature effects | Low | Yes | Most students |
| Aeration | Medium | Partial | Strong modellers |
| Nutrients | High | Yes | Advanced students |
| Pathogens | High | Yes | Very advanced |
Step 3 – Discharge and Storage Simulation:
Simulate the pond water storage and BOD concentration over a full year, from the start of May to the end of April of the following year. Use the operating conditions described in Sections 2B(i) (winter) and 2B(ii) (summer) to determine when discharge to the river is permitted and to specify discharge rates. Because the pond BOD concentration is not known at the start of the simulation, begin by adopting a conservative initial estimate (for example, assuming the pond BOD equals the inflowing high-strength effluent BOD). Use this estimate to set an initial discharge rule and run the STELLA simulation. Based on the simulated pond BOD, revise the discharge assumptions as needed and rerun the simulation. A pseudo-workflow for the above iterative procedure is:
Initial BOD assumption → run model → check constraints → revise → final scenario.
This iterative process reflects real-world operational practice, where discharge limits and operating rules are adjusted in response to observed system performance. Students modelling additional process variables must also verify that all applicable mass-discharge constraints to the river are satisfied.
Step 4 – Perform Sensitivity Analysis:
Assess the effects of variation in k_d and plant effluent flow rates on pond volume and water quality by simulating the following scenarios.
o Effect of BOD decay rate (k_d) on Pond BOD: Assess how a 25% increase and decrease in k_d affects the BOD concentration in the pond discharge. Assume the pond discharge rates remain unchanged.
o Effect of future increase in plant capacity: Evaluate how a 20% increase in both HSE and LSE flows affects pond performance; determine the increase in required pond volume.
o Other process variables: Where applicable, develop criteria to assess the effect of variations in these processes on the pond’s water quality and discharge to the river.
Note: The sensitivity analysis is exploratory rather than statistical. Two scenarios are sufficient unless additional processes are modelled. No Monte Carlo methods are expected. The depth of interpretation is more important than the number of scenarios tested.
Model Outputs:
The key outputs are pond volume (m³), flow discharged to the river (m³/day), and BOD and DO in the pond (g/m³) over a full year (March-April the following year). Specify the dimensions of the storage pond (ensure your pond complies with a maximum depth specification of 6 m). (Students modelling additional processes will need to include relevant details.)
A. Project Report (max. 10 pages single-spaced text, excluding figures, tables, and appendix)
Student reports should contain the following elements:
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