Nonlinear time series analysis of fluid dynamics: stohastic groundwater level oscillation
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In present paper we analyze dynamics of groundwater level oscillation recorded at two
piezometric stations in Pancevacki rit: ‘’Cuvarnica’’, and ‘’Borca’’ in period 2007-2013. Primary
goal of the performed research was to determine the character of the main mechanism behind
these oscillations, which could further serve as a solid base for creating an appropriate prediction
model. Dynamics of the recorded time series is examined using methods of nonlinear time series
analysis and delay embedding theorem. After embedding the observed time series into three dimensional phase space with embedding delay τ=4, results of surrogate data testing showed that
analyzed time series originate from a stationary Gaussian linear process that could be distorted by
a monotonic, instantaneous, time-independent nonlinear function. This is further confirmed by
low values of determinism coefficient and corresponding vector field composed of vectors of
different length, indicating high level of... stochasticity in the observed data. The obtained results
provide solid foundation for future research, with the final goal of creating an appropriate
prediction model.
Keywords:
groundwater level / embedding theorem / surrogate testing / determinism / stochasticitySource:
Proceedings of the The 5th International Congress of Serbian Society of Mechanics, Arandjelovac, June 15-17, 2015, 2015, 1-8Publisher:
- Serbian Society of Mechanics
Funding / projects:
- Assessment of Climate Change Impact on Water Resources of Serbia (RS-MESTD-Technological Development (TD or TR)-37005)
- Modeling and Numerical Simulations of Complex Many-Body Systems (RS-MESTD-Basic Research (BR or ON)-171017)
- Application of Novel Measurement and Computational Techniques on Investigation of Air Flow in Ventilation Systems of Energy Extremely Efficient (“Passive”) Buildings (RS-MESTD-Technological Development (TD or TR)-35046)
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Mašinski fakultetTY - CONF AU - Kostić, Srđan AU - Guranov, Iva AU - Vasović, Nebojša PY - 2015 UR - https://machinery.mas.bg.ac.rs/handle/123456789/3976 AB - In present paper we analyze dynamics of groundwater level oscillation recorded at two piezometric stations in Pancevacki rit: ‘’Cuvarnica’’, and ‘’Borca’’ in period 2007-2013. Primary goal of the performed research was to determine the character of the main mechanism behind these oscillations, which could further serve as a solid base for creating an appropriate prediction model. Dynamics of the recorded time series is examined using methods of nonlinear time series analysis and delay embedding theorem. After embedding the observed time series into three dimensional phase space with embedding delay τ=4, results of surrogate data testing showed that analyzed time series originate from a stationary Gaussian linear process that could be distorted by a monotonic, instantaneous, time-independent nonlinear function. This is further confirmed by low values of determinism coefficient and corresponding vector field composed of vectors of different length, indicating high level of stochasticity in the observed data. The obtained results provide solid foundation for future research, with the final goal of creating an appropriate prediction model. PB - Serbian Society of Mechanics C3 - Proceedings of the The 5th International Congress of Serbian Society of Mechanics, Arandjelovac, June 15-17, 2015 T1 - Nonlinear time series analysis of fluid dynamics: stohastic groundwater level oscillation EP - 8 SP - 1 UR - https://hdl.handle.net/21.15107/rcub_machinery_3976 ER -
@conference{ author = "Kostić, Srđan and Guranov, Iva and Vasović, Nebojša", year = "2015", abstract = "In present paper we analyze dynamics of groundwater level oscillation recorded at two piezometric stations in Pancevacki rit: ‘’Cuvarnica’’, and ‘’Borca’’ in period 2007-2013. Primary goal of the performed research was to determine the character of the main mechanism behind these oscillations, which could further serve as a solid base for creating an appropriate prediction model. Dynamics of the recorded time series is examined using methods of nonlinear time series analysis and delay embedding theorem. After embedding the observed time series into three dimensional phase space with embedding delay τ=4, results of surrogate data testing showed that analyzed time series originate from a stationary Gaussian linear process that could be distorted by a monotonic, instantaneous, time-independent nonlinear function. This is further confirmed by low values of determinism coefficient and corresponding vector field composed of vectors of different length, indicating high level of stochasticity in the observed data. The obtained results provide solid foundation for future research, with the final goal of creating an appropriate prediction model.", publisher = "Serbian Society of Mechanics", journal = "Proceedings of the The 5th International Congress of Serbian Society of Mechanics, Arandjelovac, June 15-17, 2015", title = "Nonlinear time series analysis of fluid dynamics: stohastic groundwater level oscillation", pages = "8-1", url = "https://hdl.handle.net/21.15107/rcub_machinery_3976" }
Kostić, S., Guranov, I.,& Vasović, N.. (2015). Nonlinear time series analysis of fluid dynamics: stohastic groundwater level oscillation. in Proceedings of the The 5th International Congress of Serbian Society of Mechanics, Arandjelovac, June 15-17, 2015 Serbian Society of Mechanics., 1-8. https://hdl.handle.net/21.15107/rcub_machinery_3976
Kostić S, Guranov I, Vasović N. Nonlinear time series analysis of fluid dynamics: stohastic groundwater level oscillation. in Proceedings of the The 5th International Congress of Serbian Society of Mechanics, Arandjelovac, June 15-17, 2015. 2015;:1-8. https://hdl.handle.net/21.15107/rcub_machinery_3976 .
Kostić, Srđan, Guranov, Iva, Vasović, Nebojša, "Nonlinear time series analysis of fluid dynamics: stohastic groundwater level oscillation" in Proceedings of the The 5th International Congress of Serbian Society of Mechanics, Arandjelovac, June 15-17, 2015 (2015):1-8, https://hdl.handle.net/21.15107/rcub_machinery_3976 .