Wednesday, March 25, 2009

Assignment #7

Perez-Pedini C, Limbrunner JF, Vogel RM (2005) “Optimal location of infiltration-based best management practices for storm water management,” JOURNAL OF WATER RESOURCES PLANNING AND MANAGEMENT, 131(6) pp. 441-448

Summary:

The authors of this article utilized computer modeling and genetic algorithms to attempt to determine ways to locate Best Management Practices (BMPs) within a watershed to most effectively reduce overall peak flows at the basin outlet. The BMPs are considered that cause greater infiltration at certain points within the watershed (and thus reducing the flow available for peak flow). They are meant to be an extension of traditional detention basins in the watershed. The analysis process consisted of first developing a watershed model, calibrating the model (through various calibration parameters) for a specific watershed based upon actual storms that occurred, application of a genetic algorithm to determine which areas in the watershed could implement a BMP that could best reduce the peak runoff (based upon a specified number of BMPs to implement in the system), and then further analysis on the results to determine managment strategies and statistical similarities between inputs and response.

In the model formulation, the authors utilized a system where the watershed was broken into hydrologic response units (HRUs) that are sized as 120m squares aligned as a grid throughout the watershed. Each HRU receives the runoff, allows for initial infiltration into the soil, allows for transport of the available runoff to one downstream HRU (based on the greatest elevation change), has groundwater storage, and allows for the transfer of groundwater via underground transport to adjacent HRUs. Additionally, streams are located throughout the watershed such that the runoff entering an HRU designated as a stream location is collected and moved to the outlet of the basin as a faster rate. After applying the mathematical model, they imported a watershed to Excel via ArcGIS and then calibrated the various model parameters to meet the outflow from specific storms.

The genetic algorithm programming approach was applied for the system based upon some limitations. The watershed had over 4,000 HRUs, and each potentially could have a BMP in place; however, allowing all of these to be availabile as decision variables resulted in a model that had too large of a decision space for the GA too be applied effectively, and thus, they limited the potential BMP locations to 1) the most impervious (highest Curve Number) and 2) the closest HRUs to the streams (as they have the most effect on the initial peak flow at the basin outlet).
They ran the simulations by assuming a certain number of BMPs would be in place (and then determining which locations would result in the minimum outflow runoff). They eventually found that after implementing about 25 to 100 BMPs, the rate of flow loss for adding additional BMPs was decreasing.

Further analysis on the system was performed to determine some information about management practices. The central question at this stage was to determine if the watershed should be planned on a master planning level such that initial projects be completed that may not have the greatest impact on the overall outlet flow (if implementing another combination of BMPs in the future would then result in a global minimum being able to be found later on). The results showed that this was not necessary—the best solution would be to choose the most effective BMPs initially and then not worry about which locations would be best in the future. Additionally, the authors were unable to find statisical relationships between relevant parameters (such as location upstream from outlet, etc.) that would provide an optimum solution; thus, the authors demonstrated that a GA application is really necessary for this application.



Discussion:

I thought the authors did a very good job of explaining their methodology. Overall, I think they used a sound methodology to determine a very complex question. I think that the following points are relevant for discussion:
1) In formulating the model, the authors ignored the type of BMP and just assumed that having a BMP would reduce the curve number by 5. I'm not sure if this is really a good assumption as different locations could naturally result in a better potential for different BMPs to have greater or lesser effects. What if a BMP just could not be put in place in one of the "optimum" locations--particularly if only a few BMPs (25 or so) would be put in place.
2) Is the model developed physically accurate for the system? The ability of the calibration to meet the example storm appears to indicate that the model can work, but I still wonder about some of the assumptions made in the formulation process--sometimes this is just hard to follow.
3) How valid is the conclusion that the master plan does not need to be considered? From their writeup and model, it seems valid to me; however, question 1 seems to come into play. Given some of their assumptions, if they were made differently, would the respone prove different and thus nullify their results?
4) Are the parameters used to limit the potential number of sites for BMPs valid? They basically reduced the amount of potential BMP sites in half. Logically, the parameters they used seem to make sense, but you could wonder if this is necessarily appropriate.

Wednesday, March 4, 2009

Assignment #6

Behera, P, Papa, F., Adams, B (1999) “Optimization of Regional Storm-Water Management Systems” Journal of Water Resources Planning and Management, 125(2) pp. 107-114

Summary:
In this study, the authors developed a methodology (using dynamic programming) to optimize the design and configuration of a storm-water management system for single-storm events in land development applications, primarily with the use of detention basins that regulate flows. Overall, the objective of the model is to determine a way to minimize the cost associated with the development of the storm-water management plan while still meeting environmental constraints such as peak discharge requirements and water quality parameters. The model is applied on an entire watershed basis such that the optimal locations and configurations of many detention basins can be applied such that the overall discharge from the watershed meets the requirements. Decision variables in the model include the active volume of water contained in each detention basin, the volumetric release rate from the pond, and the depth of the pond. The objective function is applied with associated costs for construction of the basin and land area taken by the pond (which relate to the decision variables). Finally, the system constraints were applied such that the water quality/quantity parameters could be met.

The initial simulation, the modeling considered only a single catchment of the watershed with one detention basin (and meeting optimum water quality/quantity parameters). Subsequent to this operation, the authors considered overall basin configurations with multiple basins (in this case a three catchment configuration). For this application, they added quality and quantity constraints such that the total outflow from all basins would meet requirements. In this application, they utilized a dynamic programming model that would allow for them to determine the overall minimum cost by considering each basin (stage) separately in decision making.

Discussion:
Overall, I thought the approach of the authors seemed to be valid for the system. It was interesting to see a direct application for linear programming, and reading the article can help me think of other applicable situations, such as river water quality modeling for point sources (determining where to force waste generators to meet higher levels of treatment).