• Login
    View Item 
    •   Home
    • UA Graduate and Undergraduate Research
    • UA Theses and Dissertations
    • Dissertations
    • View Item
    •   Home
    • UA Graduate and Undergraduate Research
    • UA Theses and Dissertations
    • Dissertations
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Browse

    All of UA Campus RepositoryCommunitiesTitleAuthorsIssue DateSubmit DateSubjectsPublisherJournalThis CollectionTitleAuthorsIssue DateSubmit DateSubjectsPublisherJournal

    My Account

    LoginRegister

    About

    AboutUA Faculty PublicationsUA DissertationsUA Master's ThesesUA Honors ThesesUA PressUA YearbooksUA CatalogsUA Libraries

    Statistics

    Most Popular ItemsStatistics by CountryMost Popular Authors

    Modeling Oil Spilling On Water

    • CSV
    • RefMan
    • EndNote
    • BibTex
    • RefWorks
    Thumbnail
    Name:
    azu_etd_17264_sip1_m.pdf
    Size:
    5.445Mb
    Format:
    PDF
    Download
    Author
    Hui, Guangyu
    Issue Date
    2019
    Keywords
    Data Assimilation
    Dimension Reduction
    Fluid Dynamics
    Numerical Simulation
    Partial Differential Equation
    Advisor
    Venkataramani, Shankar
    
    Metadata
    Show full item record
    Publisher
    The University of Arizona.
    Rights
    Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction, presentation (such as public display or performance) of protected items is prohibited except with permission of the author.
    Abstract
    For the offshore oil industry, a primary concern is an accidental oil spill. Potentially, oil can spill from the platform during the extraction or from the tanker during the transportation, in both cases will flow into the nearby sea. After an oil spill occurs, to prevent it from polluting even more areas and recover the polluted area, scientists want to understand the process of oil spreading on the sea. In this dissertation, we study the phenomena of oil spreading on water surface. We address a reduced model that captures the local dynamics of an oil slick spreading on flowing water surface and provides an insight on the trend of the spreading process. When the underlying water is locally steady, a full PDE model is analyzed to yield the velocity of the oil slick and its spreading rate. For spreading on a water surface where the flow is locally contracting towards the center of the oil slick, a stationary state is found for the oil slick. For an oil slick spreading on a water surface where the flow is locally expanding towards the edge the slick, the asymptotic spreading rate of the slick and a quasi-steady state are found in this case. We also develop numerical schemes that simulate the dynamics of an oil slick spreading on steady water surface and surface with expanding water flow. For modeling the evolution of crude oil, we introduce a dimension reduction for systems with slow relaxation and develop a multilayer stochastic model. Using the multilayer reduced model, we are able to estimate a single observable quantity of oil based on its past states, without further knowledge on the 'microscopic structure' inside the crude oil. Through synthetic data experiments, our reduced model is demonstrated to have an improved accuracy when implemented with data assimilation methods and can maintain stability while predicting a future state when no data is available.
    Type
    text
    Electronic Dissertation
    Degree Name
    Ph.D.
    Degree Level
    doctoral
    Degree Program
    Graduate College
    Applied Mathematics
    Degree Grantor
    University of Arizona
    Collections
    Dissertations

    entitlement

     
    The University of Arizona Libraries | 1510 E. University Blvd. | Tucson, AZ 85721-0055
    Tel 520-621-6442 | repository@u.library.arizona.edu
    DSpace software copyright © 2002-2017  DuraSpace
    Quick Guide | Contact Us | Send Feedback
    Open Repository is a service operated by 
    Atmire NV
     

    Export search results

    The export option will allow you to export the current search results of the entered query to a file. Different formats are available for download. To export the items, click on the button corresponding with the preferred download format.

    By default, clicking on the export buttons will result in a download of the allowed maximum amount of items.

    To select a subset of the search results, click "Selective Export" button and make a selection of the items you want to export. The amount of items that can be exported at once is similarly restricted as the full export.

    After making a selection, click one of the export format buttons. The amount of items that will be exported is indicated in the bubble next to export format.