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Abstract/Syllabus:
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McLaughlin, Dennis, 1.731 Water Resource Systems, Fall 2006. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed 08 Jul, 2010). License: Creative Commons BY-NC-SA
Water Resource Systems
Fall 2006
The study of water resource systems incorporates elements of hydrology, economics, and policy issues. (Photograph courtesy of the U.S. Geological Survey.)
Course Highlights
This course features a set of full-color lecture notes, a set of assignments, and information about the GAMS and MATLAB® software packages in the tools section.
Course Description
This subject is concerned with quantitative methods for analyzing large-scale water resource problems. Topics covered include the design and management of facilities for river basin development, flood control, water supply, groundwater remediation, and other activities related to water resources. Simulation models and optimization methods are often used to support analyses of water resource problems. In this subject we will be constructing simulation models with the MATLAB® programming language and solving numerical optimization problems with the GAMS optimization package.
Technical Requirements
Special software is required to use some of the files in this course: .m.
Syllabus
Description
This subject is concerned with quantitative methods for analyzing large-scale water resource problems. Topics covered include the design and management of facilities for river basin development, flood control, water supply, groundwater remediation, and other activities related to water resources. Simulation models and optimization methods are often used to support analyses of water resource problems. In this subject we will be constructing simulation models with the MATLAB® programming language and solving numerical optimization problems with the GAMS optimization package. It is desirable for students taking this subject to have some background in hydrology, linear algebra and programming, although these are not strict prerequisites.
Grading
There will be an in-class midterm exam and an in-class final exam. There will also be a class project which will be carried out during the second half of the semester. Homework will be designed to build skills. The grade will be based on exams, project, and homework. A detailed schedule is provided in the calendar section.
Grading criteria.
| ACTIVITIES |
PERCENTAGES |
| Exams |
50% |
| Project |
30% |
| Homework |
20% |
Calendar
Calendar table.
| LEC # |
TOPICS |
KEY DATES |
| Introduction, Optimization Concepts |
| 1 |
Introduction
Example: Irrigation and Salination
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| 2 |
Linear Algebra Review |
Student survey due |
| 3 |
General Optimization Concepts |
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| 4 |
General Optimization Concepts (cont.) |
Problem set 1 due |
| 5 |
Optimality Conditions |
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| 6 |
Optimality Conditions (cont.) |
Problem set 2 due |
| Optimization Methods |
| 7 |
Linear Programming Overview |
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| 8 |
Duality, Linear Programming Solution Strategies |
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| 9 |
Linear Programming Sensitivity Analysis |
Problem set 3 due |
| 10 |
Quadratic Programming |
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| 11 |
Differential Constraints |
Problem set 4 due |
| 12 |
Nonlinear Programming Algorithms |
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| 13 |
Nonlinear Programming Algorithms (cont.) |
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| Economic Aspects |
| 14 |
Optimization over Time, Discounting |
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| 15 |
Multiobjective Optimization, Utility, Risk Aversion |
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| 16 |
Supply and Demand, Groundwater Management |
Team project proposal due |
| Water Resource Applications/Case Studies |
| 17 |
River Basin Planning - Screening |
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| 18 |
River Basin Planning - Simulation |
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| 19 |
Real-time Optimization, Dynamic Programming |
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| 20 |
Real-time Optimization, Dynamic Programming (cont.) |
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| 21 |
Capacity Expansion |
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| 22 |
Common Pool Problems |
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| 23 |
Variational and Adjoint Methods, Data Assimilation |
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| 24 |
Review |
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| 25 |
Project Presentations |
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| 26 |
Project Presentations (cont.) |
Final team report due |
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