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DOI10.1007/s10040-019-01971-8
Chaos theory applied to the modelling of karst springs: first results from univariate time series
Mangiarotti, S.1; Zhang, Y.2; Leblanc, M.2
发表日期2019
ISSN1431-2174
EISSN1435-0157
卷号27期号:6页码:2027-2043
英文摘要

The hydrological dynamics of karstic systems are generally highly nonlinear and weakly predictable. This paper introduces, for the first time, a hydrological modelling approach based on chaos theory. Although this modelling approach may be extended to multi-variables, as a first step in exploring its applicability, the focus is on the simple case of single-variable modelling for karst springs, which in practice corresponds to basins where rainfall is ungauged or poorly constrained. Chaos modelling is applied to the discharge of two karstic springs, the Doubs and the Lez springs in France, selected because they represent very different geological settings, climatic conditions, anthropogenic forcings and discharge dynamics. A deterministic model of autonomous ordinary differential equations is obtained for each spring. The models have chaotic behavior in both cases. The forecasting skills of these chaotic models are assessed. Forecasting performance estimates suggest that, under real conditions, forecasting could be performed for time horizons of similar to 16 h for Doubs and similar to 19 h for Lez (+/- 1,000 L/s, 95% of confidence). This analysis offers new evidence for chaos in hydrogeology: the dynamic of discharge of karst springs is both deterministic and highly sensitive to the initial conditions, and it can be approximated by low-dimensional models.


WOS研究方向Geology ; Water Resources
来源期刊HYDROGEOLOGY JOURNAL
文献类型期刊论文
条目标识符http://gcip.llas.ac.cn/handle/2XKMVOVA/102494
作者单位1.Observ Midi Pyrenees, INRA, IRD, UPS,CNRS,CNES, 18 Ave Edouard Belin, F-31401 Toulouse, France;
2.Univ Avignon, INRA, UMR EMMAH, Hydrogeol Lab, Avignon, France
推荐引用方式
GB/T 7714
Mangiarotti, S.,Zhang, Y.,Leblanc, M.. Chaos theory applied to the modelling of karst springs: first results from univariate time series[J],2019,27(6):2027-2043.
APA Mangiarotti, S.,Zhang, Y.,&Leblanc, M..(2019).Chaos theory applied to the modelling of karst springs: first results from univariate time series.HYDROGEOLOGY JOURNAL,27(6),2027-2043.
MLA Mangiarotti, S.,et al."Chaos theory applied to the modelling of karst springs: first results from univariate time series".HYDROGEOLOGY JOURNAL 27.6(2019):2027-2043.
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