Hillslope drainage with sudden drawdown: Closed form solution and laboratory experiments

Sanford, W. E.; Parlange, Jean‐Yves; Steenhuis, Tammo S.

doi:10.1029/93wr00515

Cited by 39 publications

(39 citation statements)

References 17 publications

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“…Drained by gravity, the infiltrating water eventually joins a groundwater reservoir, thus elevating its surface. Within this reservoir, the resulting pressure increase induces a flow towards the drainage network (Sanford, Parlange & Steenhuis 1993;Szilagyi & Parlange 1998;Andermann et al 2012;Devauchelle et al 2012).…”

Section: Introductionmentioning

confidence: 99%

Response of a laboratory aquifer to rainfall

2014

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International audienceWe investigate the response of a laboratory aquifer submitted to artificial rainfall, with an emphasis on the early stage of a rain event. In this almost two-dimensional experiment, the infiltrating rainwater forms a groundwater reservoir which exits the aquifer through one side. The resulting outflow resembles a typical stream hydrograph: the water discharge increases rapidly during rainfall and decays slowly after the rain has stopped. The Dupuit–Boussinesq theory, based on Darcy’s law and the shallow-water approximation, quantifies these two asymptotic regimes. At the early stage of a rainfall event, the discharge increases linearly with time, at a rate proportional to the rainfall rate to the power of 3/2. Long after the rain has stopped, it decreases as the squared inverse of time (Boussinesq, C. R. Acad. Sci., vol. 137, 1903, pp. 5–11). We compare these predictions with our experimental data

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Section: Introductionmentioning

confidence: 99%

Response of a laboratory aquifer to rainfall

2014

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“…The models developed in the previous sections are applied to the Coweeta [ Hewlett and Hibbert , 1963], Sanford et al [1993], and Mizumura [2002] experimental data. These experiments consider the case of a sloping soil that was subject to a continuous recharge until steady state [ Hewlett and Hibbert , 1963] or saturation condition [ Sanford et al , 1993; Mizumura , 2002] is reached. Measurements of the outflow at the downstream end were then recorded during the drainage phase.…”

Section: Application and Resultsmentioning

confidence: 99%

“…Conceptual models use a water balance approach relating the outflow of the aquifer to the storage by assuming that the phreatic surface has the shape of the steady water table profile at every instant of time. Various storage‐discharge relationships are then assumed to derive the quasi‐steady models [e.g., Zecharias and Brutsaert , 1988; Koussis , 1992; Sanford et al , 1993]. This approach is also known as the quasi‐steady state approach or the method of successive steady states [ Polubarinova‐Kochina , 1962].…”

Section: Introductionmentioning

confidence: 99%

“…Section 4 presents the quasi‐steady state models and section 5 introduces the linearized Boussinesq models using the method of Green's function. Section 6 evaluates the various models and section 7 applies the relevant models to the Coweeta experimental data [ Hewlett and Hibbert , 1963] and to Sanford et al [1993] and Mizumura [2002] laboratory drainage data. Section 8 concludes the study.…”

Section: Introductionmentioning

confidence: 99%

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Theoretical and conceptual models of subsurface hillslope flows

Basha

Maalouf

2005

Water Resources Research

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[1] Theoretical and conceptual models for predicting the subsurface flow in a sloping aquifer are presented. One category of models is of the lumped conceptual type that is based on combining the continuity equation with discharge-storage relationships derived from the steady state solutions of the linearized Boussinesq equation. The second categories of models are derived from the linearized unsteady Boussinesq equation using the method of Green's function. The Green's function solution determines the water table profile and the aquifer outflow for nonuniform and nonsteady recharge distribution, arbitrary initial water table profile, and time-varying stream level at the downstream end. The latter theoretical models pertain to a finite domain and to a semi-infinite domain and are of two types depending on the linearization approach. The conceptual and theoretical models are used to derive the outflow and the cumulative outflow expressions for a particular set of conditions, and a comparative analysis is carried out. Semi-infinite aquifer models generate almost the same results as the more complicated finite aquifer models and the quasi-steady state models perform as well as the nonsteady ones for long recharge events. The kinematic wave model is also shown to provide a good approximation of Boussinesq models for steep slopes and high hydraulic conductivity. The application of the various models is also illustrated for three published experimental data. The present models can be easily incorporated in catchments models and can provide a suitable framework for aquifer parameter estimation, base flow separation and recession analysis, and analysis of drainage in landfills.

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“…Koussis et al (1998) studied groundwater flow over an inclined leaky barrier, and analysed the subsurface storm flow with the Muskingum-Cunge scheme. In sandbox model experiments, Sanford et al (1993) used a glass-sided flume (30 cm wide ð 30 cm high ð 245 cm long) to study the subsurface water flow above a sloping impermeable layer. Kim and Ann (2001) used an acrylic sandbox to study the water table in a horizontal unconfined aquifer receiving a uniform recharge and under falling head conditions.…”

Section: Introductionmentioning

confidence: 99%

Analytical solution of water table fluctuations above an inclined leaky layer due to ditch recharge

Hung¹,

Tan

Chen

et al. 2006

Hydrological Processes

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Abstract:Ditch recharge is a method used for raising a water table. However, if the aquifer lies above a leaky layer, then the leaky bed will have an effect on the height of the water table. This paper attempts to provide an analytical solution of the transient state to the linearized Boussinesq equation. The solution proposed in this paper is intended for a generalized form of the leaky layer, with the boundary condition of the water level moving according to an exponential form. The results of theoretical analysis and experimental studies can provide a much better explanation of ditch recharge on an inclined leaky layer.

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Hillslope drainage with sudden drawdown: Closed form solution and laboratory experiments

Cited by 39 publications

References 17 publications

Response of a laboratory aquifer to rainfall

Response of a laboratory aquifer to rainfall

Theoretical and conceptual models of subsurface hillslope flows

Analytical solution of water table fluctuations above an inclined leaky layer due to ditch recharge

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