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Mathematics

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Theses/Dissertations

2005

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Using Wavelets As A Computational And Theoretical Tool For Homogenization, Laura Lee Watkins May 2005

Using Wavelets As A Computational And Theoretical Tool For Homogenization, Laura Lee Watkins

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Since the cost of petroleum fluctuates widely, it is advisable to optimize extraction of oil and other hydrocarbon products form existing oil reserves. Because of the costs involved in recovering oil from a reservoir, predicting reservoir performance can be a useful tool for determining whether continued extraction might be profitable. This can be done using computer simulations of the physical processes involved such as pressure/head, fluid velocities, and so forth. Fluid flow within a reservoir occurs at a very small scale relative to the size of the reservoir. This size difference makes performing simulations at the physically appropriate scale unfeasible. …