Response of a laboratory aquifer to rainfall

Guérin, Adrien; Devauchelle, Olivier; Lajeunesse, É.

doi:10.1017/jfm.2014.590

Cited by 14 publications

(34 citation statements)

References 26 publications

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“…This expression is similar to the equation derived by Guérin et al (), but for a numerical prefactor of about 0.73, which is accessible only to a thorough mathematical derivation of the stormflow regime. As expected, we recover the exponent of 3/2 that distinguishes the stormflow regime.…”

Section: Stormflow Regimesupporting

confidence: 65%

“…Figure shows the theoretical shape of the water table as it swells to accommodate the rainfall input (Guérin et al, ). We now approximate this mathematical solution by splitting it into two connected regions.…”

Section: Stormflow Regimementioning

confidence: 99%

“…Finally, using equation to express the characteristic time T c of the aquifer in terms of the hydraulic properties of the latter, we rewrite equation as

\frac{normalΔ Q_{s}}{⟨ Q ⟩} = C \frac{T_{s}}{T_{c}} {((), \frac{R_{s}}{⟨ R ⟩})}^{3 false/ 2},

where C ≈0.57 is the numerical prefactor derived by Guérin et al (; Text S7). The above equation is equivalent to equation , although perhaps more telling.…”

Section: Stormflow Regimementioning

confidence: 99%

“…These results, however, must be reconciled with the power law recession of the hydrograph, which can result only from the nonlinear Boussinesq equation. Laboratory experiments achieve this reconciliation when the aquifer's outlet, which represents a stream, coincides whith the impermeable base of the aquifer (Guérin et al, ). In this configuration, the flow can enter a new asymptotic regime (the “stormflow regime”), during which the aquifer's discharge increases in proportion to

R_{s}^{3 false/ 2}

, where R s is the recharge rate.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Stream‐Discharge Surges Generated by Groundwater Flow

Guérin

Devauchelle

Robert

et al. 2019

Geophysical Research Letters

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Catchments respond to rainfall by storing and releasing water according to their internal dynamics. Groundwater had long been treated as the slow reservoir in this process, but isotopic measurements showed how responsive it can be. Here, we investigate the mechanics of groundwater's contribution to floods. To do so, we monitored over 3 years the shape of the water table in, and the runoff out of, a small tropical catchment. We find that groundwater and runoff respond within minutes of a rainfall event. Using an asymptotic theory inspired by recent laboratory experiments, we suggest that the peak water discharge at the catchment's outlet increases like the rainfall rate to the power of 3/2. This formula consistently predicts the stream's response to the 137 isolated rainfall events recorded during our field survey. In addition, its prefactor yields an estimate of the average groundwater storage.

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Section: Stormflow Regimesupporting

confidence: 65%

Section: Stormflow Regimementioning

confidence: 99%

“…Finally, using equation to express the characteristic time T c of the aquifer in terms of the hydraulic properties of the latter, we rewrite equation as

\frac{normalΔ Q_{s}}{⟨ Q ⟩} = C \frac{T_{s}}{T_{c}} {((), \frac{R_{s}}{⟨ R ⟩})}^{3 false/ 2},

where C ≈0.57 is the numerical prefactor derived by Guérin et al (; Text S7). The above equation is equivalent to equation , although perhaps more telling.…”

Section: Stormflow Regimementioning

confidence: 99%

R_{s}^{3 false/ 2}

, where R s is the recharge rate.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Stream‐Discharge Surges Generated by Groundwater Flow

Guérin

Devauchelle

Robert

et al. 2019

Geophysical Research Letters

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show abstract

“…In such cases, the slope of these individual recession events should be concave, as the recession slope transitions from early-to late-stage recession. This concavity has been well documented in analytical solutions (Rupp & Selker, 2006) as well as in table-top models (Guérin et al 2014). For observed recession events in natural watersheds, however, evidence of concavity is absent in the literature.…”

Section: /2019wr025448mentioning

confidence: 86%

An Empirical Reevaluation of Streamflow Recession Analysis at the Continental Scale

Tashie

Pavelsky

Band

2020

Water Resources Research

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Streamflow recession analysis is a widely used hydrologic tool that uses readily available discharge measurements to estimate otherwise unmeasurable watershed-scale properties, predict low flows, and parameterize many lumped hydrologic models. Traditional methods apply the simplifying assumptions of outflow from a Boussinesq aquifer, which predicts the slope of the recession curve relating streamflow to its derivative in log-log space to decrease from early-stage to late-stage recession. However, this prediction has not been validated in actual watersheds. Also, recent studies have shown that slopes of observed recession events are often much greater than traditional methods that predict with data point clouds. We analyze recession behavior of 1,027 streams from across the continental United States for periods of 10 to 118 years, identifying over 155,000 individual recession events. We find that the average slope of observed recession events is greater than that of the point cloud for all streams. Further, recession slopes of observed events decrease with time in only 10% of cases and instead increase with time in 74% of cases. We identify only nine watersheds where observed streamflow behavior often conforms to the predictions of traditional recession analysis, each of which is arid and flat with low permeability. Analysis of our extensive empirical results with a regionalization of catchment hydrologic characteristics indicates that heterogeneity of subsurface flow paths increases the nonlinearity and convexity of observed recession, likely as a function of watershed memory. The practical implications of our analysis are that streamflow is more stable during periods of extended drought than generally predicted.

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Continuum modelling of a just-saturated inertial column collapse: capturing fluid-particle interaction

Webb,

Turnbull,

Johnson

2024

Granular Matter

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This work presents a simple two-phase flow model to analyse a series of axisymmetric granular column collapse tests conducted under elevated gravitational accelerations. These columns were prepared with a just-saturated condition, where the granular pores were filled with a Newtonian fluid up to the column’s free surface. In this configuration, unlike the fully submerged case, air-water-grain contact angles may be important to flow dynamics. The interaction between a Newtonian fluid phase and a monodispersed inertial particle phase was captured by an inter-phase interaction term that considers the drag between the two phases as a function of the particle phase porosity. While this experimental setup has broad applications in understanding various industrial processes and natural phenomena, the focus of this study is on its relevance to predicting the motion of debris flows. Debris flows are challenging to model due to their temporally evolving composition, which can lead to the development of complex numerical models that become intractable. The developed numerical scheme in this study reasonably reproduces the particle-size and gravitational acceleration dependencies observed within the experimental runout and basal fluid pressure dissipation data. However, discrepancies between the model and physical experiments primarily arise from the assumption of modelling the granular phase as a continuum, which becomes less appropriate as particle size increases. Graphical Abstract

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Response of a laboratory aquifer to rainfall

Cited by 14 publications

References 26 publications

Stream‐Discharge Surges Generated by Groundwater Flow

Stream‐Discharge Surges Generated by Groundwater Flow

An Empirical Reevaluation of Streamflow Recession Analysis at the Continental Scale

Continuum modelling of a just-saturated inertial column collapse: capturing fluid-particle interaction

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