Skip to main content

Consortium for Mathematics and its Applications

Product ID: ILAP
Supplementary Print
Undergraduate
High School

Water Purification (ILAP)

Author: Gerald Kobylski and Sebastien Joly


Contents

1. Setting the Scene
2. Situation 1: Designing a New Facility
3. Situation 2: Modeling the Gate System
4. Situation 3: Shutting Down the Old Facility
5. Situation 4: Meeting Demand

References
Sample Solution
Notes for the Instructor
Acknowledgments
About the Authors


1. Setting the Scene

Fruita (pronounced "fruit-ah") is at the western edge of Colorado near Grand Junction. It is a farming community centered on potatoes, sugar beets, and winter wheat. The city operates a wastewater collection and treatment system; the Fruita treatment plant is an aerated lagoon treatment system.

Fruita's population in 2005 was about 9,000 people, and its sewer system was at 74% capacity and cannot be expanded. When a sewer plant reaches 80%, the state health department requires the city begin to plan for either expansion or a new plant. The new sewer system should be able to handle the sewage of up to 20,000 people plus commercial development [Vader 2005].

In July 2005, the Fruita City Council considered options for building a new sewer plant to accommodate growth for the next 20 years, with the cost being from $14 to $20 million.

©2006 by COMAP, Inc.
UMAP Journal 27.1
29 pages

Mathematics Topics:

Calculus , Differential Equations

Application Areas:

Environment & Sustainability , Water Resources Management, Environmental Engineering

You must have a Full Membership to download this resource.

If you're already a member, login here.

Not yet a member?