MEASURABLE DYNAMICS ANALYSIS OF TRANSPORT IN THE GULF OF MEXICO DURING THE OIL SPILL

被引:18
|
作者
Bollt, Erik M. [1 ]
Luttman, Aaron [1 ]
Kramer, Sean [1 ]
Basnayake, Ranil [1 ]
机构
[1] Clarkson Univ, Dept Math, Potsdam, NY 13699 USA
来源
关键词
Finite time Lyapunov exponent; Frobenius-Perron operator; fluid mixing; Gulf oil spill; applied dynamical system; chaotic dynamics; LAGRANGIAN COHERENT STRUCTURES; INVARIANT-MANIFOLDS;
D O I
10.1142/S0218127412300121
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
On April 20, 2010, an oil well cap explosion below the Deepwater Horizon, an off-shore oil rig in the Gulf of Mexico, started the worst human-caused submarine oil spill ever. Though an historic tragedy for the marine ecosystem, the unprecedented monitoring of the spill in real time by satellites and increased modeling of the natural oceanic flows has provided a wealth of data, allowing analysis of the flow dynamics governing the spread of the oil. In this work, we present the results of two computational analyses describing the mixing, mass transport, and flow dynamics of the oil dispersion in the Gulf of Mexico over the first 100 days of the spill. Transfer operator methods are used to determine the spatial partitioning of regions of homogeneous dynamics into almost-invariant sets, and Finite Time Lyapunov Exponents are used to compute pseudo-barriers to the mixing of the oil between these regions. The two methods give complementary results, generating a comprehensive description of the oil flow dynamics over time.
引用
收藏
页数:12
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