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On fractal nature of groundwater level fluctuations due to rainfall process

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  • Joelson, Maminirina
  • Golder, Jacques
  • Beltrame, Philippe
  • Néel, Marie-Christine
  • Di Pietro, Liliana

Abstract

Hourly resolution time series of groundwater level fluctuations are analyzed after removing the seasonal cycle. It is found that fluctuations of groundwater levels have fractal scaling and a persistent behavior. We show also that groundwater level fluctuations exhibit non-Gaussian heavy tailed probability distribution that is well fitted by the Lévy stable distribution. Implications of the present results on the groundwater system modeling as a fractional Lévy motion and the connection with the anomalous diffusion inside the soil are discussed.

Suggested Citation

  • Joelson, Maminirina & Golder, Jacques & Beltrame, Philippe & Néel, Marie-Christine & Di Pietro, Liliana, 2016. "On fractal nature of groundwater level fluctuations due to rainfall process," Chaos, Solitons & Fractals, Elsevier, vol. 82(C), pages 103-115.
    • Handle: RePEc:eee:chsofr:v:82:y:2016:i:c:p:103-115
    DOI: 10.1016/j.chaos.2015.11.010
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    References listed on IDEAS

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    3. Weron, Rafał, 2002. "Estimating long-range dependence: finite sample properties and confidence intervals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 312(1), pages 285-299.
    4. Shang, Pengjian & Kamae, Santi, 2005. "Fractal nature of time series in the sediment transport phenomenon," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 997-1007.
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