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dc.contributor.advisorAlexey Sadovski
dc.contributor.authorAlsudais, Najla Saleh
dc.date.accessioned2017-02-14T18:13:22Z
dc.date.available2017-02-14T18:13:22Z
dc.date.issued2016-12
dc.identifier.urihttp://hdl.handle.net/1969.6/708
dc.descriptionA thesis Submitted in Partial Fulfillment of the Requirements for the Degree of MASTER of SCIENCE in MATHEMATICS from Texas A&M University-Corpus Christi in Corpus Christi, Texas.en_US
dc.description.abstractThe physical characteristics of oil are subject to a complex transformation in the marine environment as a result of different biogeochemical processes that begin developing from the initial interaction between oil and sea water. The qualities of oil change at the initial direct interaction is due to a mixture of physical, chemical and biological alterations and degradations. This thesis explores the changes in the main physical characteristics of the spilled oil that occur after the oil spill. To study these interdependent changes a coupled ordinary differential equations (ODE) system was developed and solved numerically using MATLAB. The primary purpose of the thesis was to develop a mathematical model that describe the behavior and final outcome of pollutants such as oil and oil products in marine environments. The model includes the following oil spill process: evaporation, spreading, emulsification, loss of volume, and viscosity. The results were compared with other mathematical models published in the literature. It confirmed the area increase and viscosity increase of oil slick in other models of the field. In addition, the model developed corrected volume decrease in connection to the area increase over time as a result of adding a Biodegradation term to the right hand side of the volume rate equation. The model will be useful for comparing theoretical results with real spills data in the Gulf of Mexico, Arabian Gulf, and N’kossa in the Republic of Congo. Also, it will be helpful using results of such a comparison to adjust parameters and mathematical model of the system of equations under consideration. Results for the case study indicate that the model can predict the fate and transport of oil spills in the sea with reasonable accuracy over a relatively short period of time.en_US
dc.language.isoen_USen_US
dc.rightsThis material is made available for use in research, teaching, and private study, pursuant to U.S. Copyright law. The user assumes full responsibility for any use of the materials, including but not limited to, infringement of copyright and publication rights of reproduced materials. Any materials used should be fully credited with its source. All rights are reserved and retained regardless of current or future development or laws that may apply to fair use standards. Permission for publication of this material, in part or in full, must be secured with the author and/or publisher.en_US
dc.titleOil and water interaction: a mathematical modeling approachen_US
dc.typeTexten_US
thesis.degree.disciplineMathematicsen_US
thesis.degree.grantorTexas A & M University--Corpus Christien_US
thesis.degree.levelMastersen_US
thesis.degree.nameMaster of Scienceen_US
dc.description.departmentMathematics and Statisticsen_US
dc.description.collegeCollege of Science and Engineeringen_US
dc.type.genreThesisen_US


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