chaotic monitoring of river flow using phase space reconstruction method

Document Type : Technical Note (5 pages)

Authors

1 Assistant Professor, Department of Water Engineering, Islamic Azad University of Marvdasht, Marvdasht, Iran

2 Ph.D. student of Hydraulic Structures, Islamic Azad University of Estahban, Estahban, Iran.

Abstract

Recent studies have proven the importance and functionality of phase space reconstruction model based on the delay time approach. The main scope in this research is to develop the phase space in order to analyse and describe the event along with. The flow discharge of Band-bahman station in daily, weekly and monthly scale between 1348 and 1385 have been considered. The embedding dimension has been calculated 3 based on the simplistic method first. Then the phase space have been developed using the time delay approach. Results indicate less chaotic manner for daily data according to cloudy trajectories of the phase space. Monthly and weekly flow time series indicate more chaotic manner. According to phase space analysis there have been 5 very heavy one day raining at Band-bahman station and 12 very heavy one day raining at basin could be distinguished. Besides, 6 intensive heavy raining with one week durability at the station and 11 at the basin are pointed. The river flow discharge have been varied between 0 to 140 cubic meter per second for daily scale, 1.5 to 60 cubic meter per second for weekly scale and 1 to 23 cubic meter per second for monthly scale data series.

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References

Alvani M (1999) Reflection of effects of chaos theory in management. Quarterly (in Persian)
Ghilardi P, Rosso R (1990) Comment on chaos in rainfall. Water Resour, Res, 26 (8), 1837–1839
Ghorbani MA, Kisi O, Aalinezhad M (2010) A probe into the chaotic nature of daily streamflow time series by correlation dimension and largest Lyapunov methods. Applied Mathematical Modelling, 34, 4050–4057
Henon, M (1976) A two-dimensional mapping with a strange attractor. Common Math. Physic, 50, 69–77
Hense, A (1987) on the possible existence of a strange attractor for the southern oscillation. Beitr, Phys. Atmos, 60 (1), 34–47
Jayawardena, AW, Lai, F (1994) Analysis and prediction of chaos in rainfall and stream flow time series. J. Hydrol, 153, 23–52
Koutsoyiannis, D, Pachakis, D (1996) Deterministic chaos versus stochasticity in analysis and modeling of point rainfall series. J. Geophys, Res, 101 (D21), 26 441–26 451
Porporato, A, Ridolfi, L (1996) Clues to the existence of deterministic chaos in river flow. Int. J. Mod, Phys. B 10, 1821–1862
Sivakumar, B, Liong, S-Y, Liaw, C-Y (1998) Evidence of chaotic behavior in Singapore rainfall. J. Am. Water Resour, Assoc, 34 (2), 301–310
Takens F (1981) Detecting strange attractors in turbulence. In D. A. Rand and L.-S. Young. Dynamical Systems and Turbulence. Lecture Notes in Mathematics, vol. 898, Springer-Verlag, pp, 366–381
Tsonis, AA, Elsner, JB, Georgakakos, KP (1993) Estimating the dimension of weather and climate attractors: important issues about the procedure and interpretation, J. Atmos, Sci. 50, 2549– 2555
Iran-Water Resources Research
Volume 13, Issue 2
September 2017
Pages 221-225

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History

  • Receive Date: 12 April 2016
  • Revise Date: 17 October 2016
  • Accept Date: 17 October 2016

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