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akron1334932206.pdf (1.03 MB)
ETD Abstract Container
Abstract Header
Probabilistic Analysis of Pipeline Reliability Using a Markov Process
Author Info
McCallum, Katie Arlene
Permalink:
http://rave.ohiolink.edu/etdc/view?acc_num=akron1334932206
Abstract Details
Year and Degree
2012, Master of Science, University of Akron, Applied Mathematics.
Abstract
This paper develops a basic foundation for a tool that can be used to predict the probability of a leak occurring in an oil pipeline due to pitting corrosion. The methodology is directly applicable to other steel equipment and infrastructure. Using a simple Markov chain process, we formulate equations for probability distributions of a pit being in a defined set of corroded states. Each state represents a specific pit depth. By adjusting transition rates between states we represent the corrosivity and mitigation conditions to which the oil pipeline is subjected. The transition rate models used here are flexible and capable of accommodating a wide range of corrosivity and mitigation scenarios. We discuss hypothetical cases, such as increasing CO
2
content in oil causing gradual corrosion versus an episodic event causing rapid changes in the corrosivity conditions, demonstrating the ability to make adjustments to the model in order to simulate varying operational conditions.
Committee
Gerald Young, Dr. (Advisor)
Curtis Clemons, Dr. (Advisor)
Kevin Kreider, Dr. (Other)
Pages
70 p.
Subject Headings
Mathematics
Keywords
Markov
;
corrosion
;
oil pipeline
;
leakage probability
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Citations
McCallum, K. A. (2012).
Probabilistic Analysis of Pipeline Reliability Using a Markov Process
[Master's thesis, University of Akron]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=akron1334932206
APA Style (7th edition)
McCallum, Katie.
Probabilistic Analysis of Pipeline Reliability Using a Markov Process.
2012. University of Akron, Master's thesis.
OhioLINK Electronic Theses and Dissertations Center
, http://rave.ohiolink.edu/etdc/view?acc_num=akron1334932206.
MLA Style (8th edition)
McCallum, Katie. "Probabilistic Analysis of Pipeline Reliability Using a Markov Process." Master's thesis, University of Akron, 2012. http://rave.ohiolink.edu/etdc/view?acc_num=akron1334932206
Chicago Manual of Style (17th edition)
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Document number:
akron1334932206
Download Count:
685
Copyright Info
© 2012, all rights reserved.
This open access ETD is published by University of Akron and OhioLINK.