Use of random walk in two-dimensional lattice graphs to describe influence of wind and sea currents on oil slick movement

• Autorzy: Guze S. , Mazurek J. , Smolarek L.

Identyfikatory

DOI

10.5604/12314005.1213583

• Języki publikacji: EN

Abstrakty

EN

The concept of oil slick movement being influenced by wind and sea currents is elementary for the decision model of the distribution of large oil spill emergency control means at sea. The analysis of water area conditions such as wind and sea currents is elementary for the concept of oil slick movement. The article presents the model of oil slick movement under the influence of wind and sea currents. In building the model, random walk in two-dimensional lattice graphs has been used. The movement of oil slick is analysed in two ways. In the paper, the movement of the oil slick is analysed in two ways without wind and focus on surface sea currents and with wind and currents. Case one assumes no wind and focuses on surface sea currents only using random walk in a two-dimensional square grid graph. Case two assumes that wind is in place, so oil slick is moving due to surface sea currents and wind currents. The description of movement in case two is based on a two-dimensional lattice graph, which is a combination of a triangular grid graph and a hexagonal grid graph. The article also describes the basic assumptions of oil slick model: the definition of water area, oil slick and algorithm for rescue action to contain the oil spill. Oil slick movement concept is elementary for the decision model of oil spill control at sea. The model allows estimating the distance of oil slick from coastal areas.

Słowa kluczowe

EN

random walk; oil spill; currents

• Wydawca: Łukasiewicz Research Network - Institute of Aviation ; European Science Society of Powertrain and Transport KONES Poland ; Wydawnictwo Instytutu Technicznego Wojsk Lotniczych
• Czasopismo: Journal of KONES
• Rocznik: 2016
• Tom: Vol. 23, No. 2
• Strony: 147--153
• Opis fizyczny: Bibliogr. 6 poz., rys.

Twórcy

autor

Guze S.

• Gdynia Maritime University Department of Mathematics Morska Street 81-87, 81-225 Gdynia, Poland tel.: [phone]

autor

Mazurek J.

• Gdynia Maritime University Department of Mathematics Morska Street 81-87, 81-225 Gdynia, Poland tel.: [phone]

autor

Smolarek L.

• Gdynia Maritime University Department of Transport and Logistics Morska Street 81-87, 81-225 Gdynia, Poland tel.: [phone]

Bibliografia

• [1] Aldous, D., Fill, J. A., Reversible Markov Chains and Random Walks on Graphs, Unfinished monograph, recompiled 2014, available at http://www.stat.berkeley.edu/$\sim$aldous/RWG/ book.html, 2002.
• [2] Doyle, P. G., Snell, J. L., Random walks and electric networks, arXiv.org:math/0001057, [math.PR], 11.01.2000.
• [3] Lovász, L., Random Walks on Graphs: A Survey, BOLYAI SOCIETY MATHEMATICAL STUDIES, 2, Combinatorics, Paul Erdös is Eighty (Vol. 2) Keszthely (Hungary), pp. 1-46, 1993.
• [4] Mazurek, J., Smolarek, L., Estimation of surrounding the spillage time, Journal of Polish Safety and Reliability Association, Vol. 3 (2), pp. 245-250, Gdynia 2012.
• [5] Mazurek, J., Smolarek, L., Influence of the action starting time on the total time, Proceedings of the XIV International Scientific and Technical Conference on Marine Traffic Engineering, pp. 311-318, Szczecin 2011.
• [6] Mazurek, J., Smolarek L., The stochastic model of the oil spill drift, Zeszyty Naukowe Akademii Morskiej w Gdyni, Problemy bezpieczeństwa w transporcie morskim, No. 82, pp. 98-106, Gdynia 2015.

Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.