Date of Award
Fall 2019
Degree Type
Masters Thesis
Degree Name
Master of Science (MS)
School
Mathematics and Natural Sciences
Committee Chair
James Lambers
Committee Chair School
Mathematics and Natural Sciences
Committee Member 2
Ching-Shyang Chen
Committee Member 2 School
Mathematics and Natural Sciences
Committee Member 3
Haiyan Tian
Committee Member 3 School
Mathematics and Natural Sciences
Abstract
When an oil refining company is drilling for oil, much of the oil gets left behind after the first drilling. Enhanced oil recovery techniques can be used to recover more of that oil, but these methods are quite expensive. When a company is deciding if it is worth their time and money to use enhanced oil recovery methods, simulations can be used to model oil flow, showing the behavior and location of the oil. While methods do exist to model this flow, these methods are often very slow and inaccurate due to a large domain and wide variance in coefficients. In this paper we investigate the application of Multi-Point Flux Approximation (MPFA) methods and upscaling (or coarsening) grid techniques to these simulations. Specifically, the O-Method, a working MPFA method, is combined with local upscaling in order to solve for the pressure and flux values, bypassing the need to solve the given permeability field to obtain those values.
Copyright
2019, Christen Leggett
Recommended Citation
Leggett, Christen, "Multi-Point Flux Approximations via the O-Method" (2019). Master's Theses. 693.
https://aquila.usm.edu/masters_theses/693
Included in
Numerical Analysis and Computation Commons, Oil, Gas, and Energy Commons, Other Applied Mathematics Commons, Other Physical Sciences and Mathematics Commons, Partial Differential Equations Commons