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.
","abstract_html":"<p>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.</p>","abstract_has_math":false,"creators":["Leggett, Christen"],"institution":null,"degree_name":"Master of Science (MS)","degree_level":"Masters Thesis","degree_discipline":null,"degree_department":null,"school":null,"contributors":["James Lambers","Ching-Shyang Chen","Haiyan Tian"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2019,"date_issued":"2019-12-01T08:00:00Z","date_published":"2019-12-01T08:00:00Z","updated_at":"2026-07-24T05:45:12Z","subjects":["oil recovery","MPFA methods","upscaling","Numerical Analysis and Computation","Oil, Gas, and Energy","Other Applied Mathematics","Other Physical Sciences and Mathematics","Partial Differential Equations"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://aquila.usm.edu/masters_theses/693","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["James Lambers","Ching-Shyang Chen","Haiyan Tian"]},{"key":"dc:creator","label":"Author","values":["Leggett, Christen"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.available","label":"Dc Date Available","values":["2019-10-17T07:00:00Z"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Masters Thesis"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Master of Science (MS)"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["oil recovery","MPFA methods","upscaling","Numerical Analysis and Computation","Oil, Gas, and Energy","Other Applied Mathematics","Other Physical Sciences and Mathematics","Partial Differential Equations"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://aquila.usm.edu/masters_theses/693"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["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.
"]},{"key":"dc:title","label":"Title","values":["Multi-Point Flux Approximations via the O-Method"]}]}],"canonical_facts":{"dc:contributor":["James Lambers","Ching-Shyang Chen","Haiyan Tian"],"dc:creator":["Leggett, Christen"],"dc:date.available":["2019-10-17T07:00:00Z"],"dc:description.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.
"],"dc:identifier":["https://aquila.usm.edu/masters_theses/693"],"dc:subject":["oil recovery","MPFA methods","upscaling","Numerical Analysis and Computation","Oil, Gas, and Energy","Other Applied Mathematics","Other Physical Sciences and Mathematics","Partial Differential Equations"],"dc:title":["Multi-Point Flux Approximations via the O-Method"],"thesis:degree_level":["Masters Thesis"],"thesis:degree_name":["Master of Science (MS)"]},"updated_at":"2026-07-24T05:45:12Z"}