Linear system techniques applied to the Fuenmayor Karst Spring, Huesca (Spain)

Cuchí, José Antonio; Chinarro, David; Villarroel, José Luis

doi:10.1007/s12665-013-2509-6

Cited by 11 publications

(9 citation statements)

References 28 publications

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“…This model based on the cross-correlation coefficient gives an efficiency factor of E = -314.14 for the Fuenmayor data applying Eq. 2.48, which gives a poor efficiency value, according discussed in Cuchí et al (2013).…”

Section: Nonparametric System Identificationmentioning

confidence: 99%

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System Engineering Applied to Fuenmayor Karst Aquifer (San Julián de Banzo, Huesca) and Collins Glacier (King George Island, Antarctica)

Vadillo¹,

Salcedo²,

Oterino³

2014

Springer Theses

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... to my wife, for her devoted support and infinite love ... to my children, to encourage them in the adventure of acquiring and sharing new skills ... to my mother, who instilled me the importance of hard study from early age Resumen L A ingeniería de sistemas, definida generalmente como arte y ciencia de crear soluciones integrales a problemas complejos, se aplica en el presente documento a dos sistemas naturales, a saber, un sistema acuífero kárstico y un sistema glaciar, desde una perspectiva hidrológica. Las técnicas de identificación, desarrolladas típicamente en ingeniería para representar sistemas artificiales por medio de modelos lineales y no lineales, pueden aplicarse en el estudio de los sistemas naturales donde se producen fenómenos de acoplamiento entre el clima y la hidrosfera. Los métodos evolucionan para afrontar nuevos campos de identificación donde se requieren estrategias para encontrar el modelo idóneo adaptado a las peculiaridades del sistema. En este sentido, se han considerado especialmente las herramientas basadas en la transformada wavelet utilizadas en la preparación de series temporales, suavizado de señales, análisis espectral, correlación cruzada y predicción, entre otros. Bajo este enfoque, una aplicación a mencionar entre las tratadas en esta tesis, es la determinación analítica del núcleo efectivo estacional (SEC) a través del estudio de la coherencia wavelet entre temperatura del aire y la descarga del glaciar, que establece un conjunto de períodos de muestreo aceptablemente coherentes, a partir del cual se crearán los modelos del sistema glacial. El estudio está dirigido específicamente a estimar la influencia de la precipitación sobre la descarga del acuífero kárstico de Fuenmayor, en San Julián de Banzo, Huesca, España. De la misma manera, se ocupa de las consecuencias de la temperatura del aire en la fusión del hielo glaciar, que se manifiesta en la corriente de drenaje del glaciar Collins, isla King George, Antártida. En el proceso de identificación paramétrica y no paramétrica se buscan los modelos que mejor representen la dinámica interna del sistema. Eso conduce a pruebas iterativas, donde se van creado modelos que se verifican sistemáticamente con los datos reales del muestreo, de acuerdo a un criterio de eficiencia dado. La solución mejor valorada según los resultados obtenidos en los casos tratados apuntan a estructuras de modelos en bloques.Esta tesis significa una exposición formal de la metodología de identificación de sistemas propios de la ingeniería en el contexto de los sistemas naturales, que mejoran los resultados obtenidos en muchos casos de la hidrología kárstica que comúnmente usaban métodos ad hoc ocasionales de carácter estadístico; así mismo, los enfoques propuestos en los casos de glaciología con el análisis wavelet y los modelos orientados a datos raramente considerados en la literatura, revelan información esencial ante la imposibilidad de precisar la totalidad de la física que rige el sistema. Notables resultados se derivan en la caracterización de...

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Section: Nonparametric System Identificationmentioning

confidence: 99%

“…This chapter presents interesting results using Fuenmayor spring data, collected over several years, to show the ability of wavelet techniques in the analysis and identification of a karst spring system. The essential content of this chapter has been published by Chinarro et al (2011) and Cuchí et al (2013).…”

Section: Introductionmentioning

confidence: 99%

System Engineering Applied to Fuenmayor Karst Aquifer (San Julián de Banzo, Huesca) and Collins Glacier (King George Island, Antarctica)

Vadillo¹,

Salcedo²,

Oterino³

2014

Springer Theses

Self Cite

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“…These manifest themselves in dynamic dualities of recharge processes, groundwater flow fields, and (spring) discharge (Kiraly, 1998;Hartmann et al, 2013). Due to these dualities, the presence of turbulent flow, and threshold effects, karst systems discharge responds non-linearly to precipitation (Pinault et al, 2001b;Bakalowicz, 2005;Cuchi et al, 2014). Generally, karst system hydraulic behaviour distributed models -were compared by calibrating all models on the same data sets (precipitation, evapotranspiration, temperature, and spring discharge time series) to predict spring discharge.…”

Section: Introductionmentioning

confidence: 99%

“…The objective of this paper is to assess the suitability of time series models, specifically transfer function noise (TFN) models using impulse response functions in continuous time, for the simulation of karst spring discharge. Time series models -and transfer function approaches specifically -are lumped models and have been shown in the past to perform well at modelling karst system spring discharge (e.g., Labat et al, 1999Labat et al, , 2000Pinault et al, 2001c,a;Denić-Jukić and Jukić, 2003;Denić-Jukić, 2004, 2006;Ladouche et al, 2014;Cuchi et al, 2014). Transfer function approaches are most commonly utilized to study linear time invariant (LTI) systems but it is common practice to approximate non-linear systems, such as karst systems, with linear methods because of the simplicity and convenience (e.g.…”

Section: Introductionmentioning

confidence: 99%

A Data-Driven Approach for Modelling Karst Spring Discharge Using Transfer Function Noise Models

Rudolph

Collenteur²,

Kavousi

et al. 2022

Preprint

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Karst aquifers are important sources of fresh water on a global scale. The hydrological modelling of karst spring discharge, however, still poses a challenge. In this study we apply a transfer function noise (TFN) model in combination with a bucket-type recharge model to simulate and predict karst spring discharge. The application of the noise model for the residual series has the advantage that it is more consistent with assumptions for optimization such as homoscedasticity and independence. In an earlier hydrological modeling study, named Karst Modeling Challenge (KMC; Jeannin et al (2021)), several modelling approaches were compared for the Milandre Karst System in Switzerland. This serves as a benchmark and we apply the TFN model to KMC data, subsequently comparing the results to other models. Using different data-model combinations, the most promising data-model combination is identified in a three-step least-squares calibration. To quantify uncertainty, the Bayesian approach of Markov-chain Monte Carlo (MCMC) sampling is subsequently used with uniform priors for the previously identified best data-model combination. The MCMC maximum likelihood solution is used to predict spring discharge for the evaluation period, indicating a superior performance compared to all other models in the KMC. It is found that the model gives a physically feasible representation of the system, which is supported by field measurements. While the TFN model simulated rising limbs and flood recession especially well, medium and baseflow conditions were not represented as accurately. The TFN approach poses a well-performing data-driven grey-box alternative to other approaches that should be considered in future studies.

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“…They store and supply drinking water for approximately 20-25% of the world's population, while constituting only small areas of the global land surface [11]. The characterization of karst aquifers is hampered by their complex character, and the often limited number of wells available to support hydrogeological observations and geological descriptions [12].…”

Section: Introductionmentioning

confidence: 99%

Mapping of Groundwater Spring Potential in Karst Aquifer System Using Novel Ensemble Bivariate and Multivariate Models

Nhu

Rahmati

Falah

et al. 2020

Water

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Groundwater is an important natural resource in arid and semi-arid environments, where discharge from karst springs is utilized as the principal water supply for human use. The occurrence of karst springs over large areas is often poorly documented, and interpolation strategies are often utilized to map the distribution and discharge potential of springs. This study develops a novel method to delineate karst spring zones on the basis of various hydrogeological factors. A case study of the Bojnourd Region, Iran, where spring discharge measurements are available for 359 sites, is used to demonstrate application of the new approach. Spatial mapping is achieved using ensemble modelling, which is based on certainty factors (CF) and logistic regression (LR). Maps of the CF and LR components of groundwater potential were generated individually, and then, combined to prepare an ensemble map of the study area. The accuracy (A) of the ensemble map was then assessed using area under the receiver operating characteristic curve. Results of this analysis show that LR (A = 78%) outperformed CF (A = 67%) in terms of the comparison between model predictions and known occurrences of karst springs (i.e., calibration data). However, combining the CF and LR results through ensemble modelling produced superior accuracy (A = 85%) in terms of spring potential mapping. By combining CF and LR statistical models through ensemble modelling, weaknesses in CF and LR methods are offset, and therefore, we recommend this ensemble approach for similar karst mapping projects. The methodology developed here offers an efficient method for assessing spring discharge and karst spring potentials over regional scales.

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Linear system techniques applied to the Fuenmayor Karst Spring, Huesca (Spain)

Cited by 11 publications

References 28 publications

System Engineering Applied to Fuenmayor Karst Aquifer (San Julián de Banzo, Huesca) and Collins Glacier (King George Island, Antarctica)

System Engineering Applied to Fuenmayor Karst Aquifer (San Julián de Banzo, Huesca) and Collins Glacier (King George Island, Antarctica)

A Data-Driven Approach for Modelling Karst Spring Discharge Using Transfer Function Noise Models

Mapping of Groundwater Spring Potential in Karst Aquifer System Using Novel Ensemble Bivariate and Multivariate Models

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