On fractal nature of groundwater level fluctuations due to rainfall process

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

Chaos, Solitons & Fractals, 2016, vol. 82, issue C, 103-115

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.

Keywords: Groundwater level fluctuations; Fractal; Scale invariant; High order spectra analysis; Lévy stable distribution; Hurst exponent (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:82:y:2016:i:c:p:103-115

DOI: 10.1016/j.chaos.2015.11.010

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