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DOI | 10.1007/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 |
ISSN | 1431-2174 |
EISSN | 1435-0157 |
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
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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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