A mathematical model for the spread of oil spills in high seas
DOI:
https://doi.org/10.12928/bamme.v1i1.3877Keywords:
advection-dispersion, oil spills, random walks, wind direction, wind speedAbstract
This study aims to model the distribution pattern of oil spills in high seas with the influence of wind movements. The mathematical model is derived from the random walk process of the oil spill particles by using a probability measure on a unit circle with the help of Laplace and Fourier transform . The solution to the model is also obtained by using Laplace and the Fourier transform. Based on the analysis of the solution of the model, the oil spill tends to spread in the direction of wind movement.. The speed and direction of the wind movement affect the speed and direction of the spread of the oil spill particles. The larger the speed of wind movement, the faster the oil particles movement.References
Ardi, M. M. (2017). Pemodelan Pergerakan Pertumpahan Minyak pada Titik Rawan Kecelakaan Pelayaran (Studi Kasus: Alur Pelayaran Barat Surabaya). Surabaya: Fakultas Teknik Sipil dan Perencanaan Institut Teknologi Sepuluh Nopember.
Li, D., Tang, X., Li, Y., Wang, X., & Zhang, H. (2018). Mathematical Modeling of Marine Oil Spills in the Luanjiakou, near the Port of Yantai. Discrete Dynamics in Nature and Society, 2018, 1-22
Lukijanto, & Purwandani, A. (2012). Pemodelan Tumpahan Minyak pada Anjungan Lepas Pantai Montana di Laut Timor. Widyariset, 15(3), 489-498.
Mardiah, Hermana, J., & Ikhwani, H. (2003). Simulasi Sebaran Tumpahan Minyak di Perairan Dumai, PT Caltex Pacific Indonesia. Jurnal Purifikasi, 4(2), 49-54.
Othmer, H. G., Dunbar, S. R., & Alt, W. (1998). Model of Dispersal in Biological Education. Journal of Mathematical Biology, 26, 263-298.
Salim, A., & Sutanto, T. E. (2013). Model Pergerakan Tumpahan Minyak di Perairan Selat Sunda dengan Gnome Analysis. Jurnal Biologi, 6(2), 130-137.
Suzuki, T., & Senba, T. (2010). Applied Analysis: Mathematical Methods in Natural Science (2nd Edition). London: Imperial College Press.
Wibowo, M. (2018). Pemodelan Sebaran Pencermaran Tumpahan Minyak di Perairan Cilacap. Jurnal Teknologi Lingkungan, 19(2), 191-202.
Li, D., Tang, X., Li, Y., Wang, X., & Zhang, H. (2018). Mathematical Modeling of Marine Oil Spills in the Luanjiakou, near the Port of Yantai. Discrete Dynamics in Nature and Society, 2018, 1-22
Lukijanto, & Purwandani, A. (2012). Pemodelan Tumpahan Minyak pada Anjungan Lepas Pantai Montana di Laut Timor. Widyariset, 15(3), 489-498.
Mardiah, Hermana, J., & Ikhwani, H. (2003). Simulasi Sebaran Tumpahan Minyak di Perairan Dumai, PT Caltex Pacific Indonesia. Jurnal Purifikasi, 4(2), 49-54.
Othmer, H. G., Dunbar, S. R., & Alt, W. (1998). Model of Dispersal in Biological Education. Journal of Mathematical Biology, 26, 263-298.
Salim, A., & Sutanto, T. E. (2013). Model Pergerakan Tumpahan Minyak di Perairan Selat Sunda dengan Gnome Analysis. Jurnal Biologi, 6(2), 130-137.
Suzuki, T., & Senba, T. (2010). Applied Analysis: Mathematical Methods in Natural Science (2nd Edition). London: Imperial College Press.
Wibowo, M. (2018). Pemodelan Sebaran Pencermaran Tumpahan Minyak di Perairan Cilacap. Jurnal Teknologi Lingkungan, 19(2), 191-202.
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2021-03-24
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Copyright (c) 2021 Bambang Hendriya Guswanto, Kiran Nirmala Achfasarty, Ari Wardayani
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