Decision-making under uncertainty using a new chance constrained programming technique: A groundwater reclamation application

A new distribution free chance constrained programming technique is developed and applied to the design of hydraulic gradient control methods for containment and removal of contamination in an aquifer. The spatial distribution of parameters such as transmissivity in a heterogeneous domain make the value at any point uncertain. Because of this uncertainty a reliability based method is required. The chance constrained method is developed to produce a trade off curve of least cost versus reliability. A set of realizations of any statistical distribution can be generated and used to develop reliability based designs. The method is based on including numerous constraint sets, each representing one set of transmissivities, in a linear programming formulation of the design problem and allowing a certain percentage of the constraint sets to be violated. A small example is used to developed the method and a large more realistic example is used to test the method and compare it to other design methods.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Geotechnology

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2011

Author dc:creator

• Morgan, David Rhys

Contributors dc:contributor

• Eheart, J. Wayland

• Geotechnology
• Engineering, Civil
• Environmental Sciences
• Operations Research

Statement dc:rights

• Copyright 1990 Morgan, David Rhys

Language dc:language

eng

Identifier

AAI9114350
(UMI)AAI9114350

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/23677