Correlation and spectral analyses to assess the response of a shallow aquifer to low and high frequency rainfall fluctuations

Duvert, Clément; Jourde, Hervé; Raiber, Matthias; Cox, Malcolm

doi:10.1016/j.jhydrol.2015.05.054

Cited by 43 publications

(49 citation statements)

References 47 publications

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“…The water volumes that are at stake proportionally influence the weight of this filtering effect [16,[75][76][77], therefore extended aquifers and river basins can be considered as excellent climate signal proxies, at regional scale [18,88,89]. Similar results are described by Luque-Espinar [16] and Fendeková et al [90], who found that piezometers, located close to stream with leakage to the aquifer, or along the main river in those areas where it recharges the aquifer, present long period cycles.…”

Section: Analyses In Frequency Domainsupporting

confidence: 63%

“…In detail, Su reaches 0.2 threshold value after 880 days, while the ACF curves for Sa and DN reach that level after respectively 105 and 90 days (Figure 8). Su well stronger autocorrelation might be related to site-specific physical and structural conditions of the aquifer, such as the hydraulic conductivity influenced by changes in the grain size of the alluvial aquifer or its degree of compaction [18,75], because, of course, as suggested by Imagawa et al [53], persistence can be an indicator of the local storage capacity of alluvial aquifers, provided that the assumption of homogeneity in the hydraulic conductivity throughout the aquifer is respected.…”

Section: Autocorrelationmentioning

confidence: 99%

“…In general, a correlogram with a gentle slope can be an indicator of data series persistence, while, if it drops off rapidly, it describes the random nature of the values [45]; furthermore, the slower decline of ACF function for hydrological data describes an aquifer with low draining properties, low permeability or major groundwater storage, conversely a faster decline of the autocorrelation function indicates a more rapid flow of water through the aquifer and/or its limited storage capacity [1,2,5,11,18,52,53].…”

Section: The Autocorrelation Functionmentioning

confidence: 99%

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Statistical and Fractal Approaches on Long Time-Series to Surface-Water/Groundwater Relationship Assessment: A Central Italy Alluvial Plain Case Study

Chiaudani

Curzio

Palmucci

et al. 2017

Water

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Abstract:In this research, univariate and bivariate statistical methods were applied to rainfall, river and piezometric level datasets belonging to 24-year time series . These methods, which often are used to understand the effects of precipitation on rivers and karstic springs discharge, have been used to assess piezometric level response to rainfall and river level fluctuations in a porous aquifer. A rain gauge, a river level gauge and three wells, located in Central Italy along the lower Pescara River valley in correspondence of its important alluvial aquifer, provided the data. Statistical analysis has been used within a known hydrogeological framework, which has been refined by mean of a photo-interpretation and a GPS survey. Water-groundwater relationships were identified following the autocorrelation and cross-correlation analyses. Spectral analysis and mono-fractal features of time series were assessed to provide information on multi-year variability, data distributions, their fractal dimension and the distribution return time within the historical time series. The statistical-mathematical results were interpreted through fieldwork that identified distinct groundwater flowpaths within the aquifer and enabled the implementation of a conceptual model, improving the knowledge on water resources management tools.

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Section: Analyses In Frequency Domainsupporting

confidence: 63%

Section: Autocorrelationmentioning

confidence: 99%

Section: The Autocorrelation Functionmentioning

confidence: 99%

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Statistical and Fractal Approaches on Long Time-Series to Surface-Water/Groundwater Relationship Assessment: A Central Italy Alluvial Plain Case Study

Chiaudani

Curzio

Palmucci

et al. 2017

Water

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“…The slow response of underground system has been reported by several authors who argue that the rainfall signal is filtered and lagged through the soil and undergound system [5,70]. The aquifer reacts as a low-pass filter that smoothed out the high frequency fluctuations of the rainfall signal [71]. About the slow response of the system, it is also shown that the underground system when subject to a disturbance (changes in boundary conditions) takes some time (few seconds to millions of years), depending on its size and its hydrodynamic characteristics, to recover its equilibrium [72].…”

Section: Interannual Variation Of Groundwater Levelmentioning

confidence: 95%

Climate Variability and Groundwater Response: A Case Study in Burkina Faso (West Africa)

Tirogo

Jost

Biaou

et al. 2016

Water

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West Africa experiences great climate variability, as shown by the long-lasting drought since the 1970s. The impacts of the drought on surface water resources are well documented but remain less studied regarding groundwater resources. The nexus between climate variability and groundwater level fluctuations is poorly documented in this area. The present study focuses on the large reserve of groundwater held by the Kou catchment, a tributary of Mouhoun river (formerly the Black Volta) in the southwest of Burkina Faso, in the Sudanian region. Analyses were undertaken using climatic time series , two rivers' hydrometric data , and 21 piezometers' time series (1995)(1996)(1997)(1998)(1999)(2000)(2001)(2002)(2003)(2004)(2005)(2006)(2007)(2008)(2009)(2010)(2011)(2012)(2013)(2014) applying statistical trend (Mann-Kendall) and break (Pettitt) tests, correlation analysis, and principal component analysis. The analyses showed that rainfall in the area underwent a significant break in 1970 with an 11%-16% deficit between the period before the break and the period after the break that resulted in a deficit three times greater for both surface and base flows. This significant deficit in flow results from the combined effect of a decrease in rainfall and an increase in evapotranspiration. The response of the catchment to the slight increase in rainfall after 1990 was highly dependent on hydrological processes. At Samendéni, on the Mouhoun River, the flow increased with a slight delay as compared to rainfall, because of the slow response of the base flow. Whereas at Nasso on the Kou river, the flow steadily decreased. The analysis showed that the groundwater level responds to rainfall with a delay. Its response time to seasonal fluctuations ranges from 1 to 4 months and its response time to interannual variations exceeds the timescale of one year. This response is highly dependent on the local aquifer's physical characteristics, which could explain the spatial heterogeneity of the groundwater response.

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“…Two periods of missing data at particular wells (July 5, 2015–July 15, 2015, at Well 3 and May 14, 2015–June 12, 2015 at Site 2) were filled with random normally distributed values with the mean and standard deviation taken from the rest of the water level records, as was done by Herman et al (). The data were detrended to remove the sinusoidal, seasonal pattern in the observed water levels, as well as any linear trend, in order to isolate the degree of persistence in water levels in response to storm events (Duvert et al, ; Herman et al, ). We carried out the detrending by subtracting the following fitted function from depth to water level records:

a + b sin ((), 2 π T) + c cos ((), 2 π T) + d T,

where a , b , c , and d are fitting parameters, and T is time.…”

Section: Methodsmentioning

confidence: 99%

Groundwater recharge amidst focused stormwater infiltration

Bhaskar

Hogan

Nimmo

et al. 2018

Hydrological Processes

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Distributed, infiltration‐based approaches to stormwater management are being implemented to mitigate effects of urban development on water resources. One of the goals of this type of storm water management, sometimes called low impact development or green infrastructure, is to maintain groundwater recharge and stream base flow at predevelopment levels. However, the connection between infiltration‐based stormwater management and groundwater recharge is not straightforward. Water infiltrated through stormwater facilities may be stored in soil moisture, taken up by evapotranspiration or contribute to recharge and eventually base flow. This study focused on a 1.1 km2 suburban, low impact development watershed in Clarksburg, Maryland, USA, that was urbanized and contained 73 infiltration‐based stormwater facilities. Continuous water table measurements were used to quantify the movement of infiltrated stormwater. Time series analyses were performed on hydrographs of 7 wells, and the episodic master recession method was used. Persistence in water levels, as measured by autocorrelation function, was found to be positively related to depth to water. Storm properties (precipitation rate and duration) and well location (proximity to the nearest stream) were significant in driving episodic recharge to precipitation ratios. The well that had the highest recharge to precipitation ratios and water table rises of up to 1.5 m in response to storm events was located furthest from the stream and down gradient of stormwater infiltration locations. This work may be considered in evaluating the effects of planned watershed‐scale infiltration‐based stormwater management on groundwater flow systems.

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Correlation and spectral analyses to assess the response of a shallow aquifer to low and high frequency rainfall fluctuations

Cited by 43 publications

References 47 publications

Statistical and Fractal Approaches on Long Time-Series to Surface-Water/Groundwater Relationship Assessment: A Central Italy Alluvial Plain Case Study

Statistical and Fractal Approaches on Long Time-Series to Surface-Water/Groundwater Relationship Assessment: A Central Italy Alluvial Plain Case Study

Climate Variability and Groundwater Response: A Case Study in Burkina Faso (West Africa)

Groundwater recharge amidst focused stormwater infiltration

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