Modeling transient stream/aquifer interaction with the non-linear Boussinesq equation and its analytical solution

Serrano, Sergio E.; Workman, Stephen R.

doi:10.1016/s0022-1694(98)00111-5

Cited by 86 publications

(64 citation statements)

References 18 publications

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“…In practice, however, the separation between the two compartments is purely arbitrary since both are physically connected (Bencala, 2000), and its hydrodynamics are complex since stream water and hillslope groundwater converge. Several theoretical papers (Taha et al, 1997;Serrano and Workmann, 1998;Barlow et al 2000) and field studies (Morrice et al, 1997;Wondzell and Swanson, 1996;Wroblichy et al, 1998;McDonnell, 1998) have emphasised the importance of hydrological interactions between the stream water and the near-stream at reach scale. On the other hand, hydrogeologists highlight the role of soil moisture (Bras, 1990) and of the spatial hydrological heterogeneity in influencing the runoff generation in catchments (Merz and Bárdossy, 1998;Becker et al, 1999).…”

Section: Introductionmentioning

confidence: 99%

The influence of riparian-hyporheic zone on the hydrological responses in an intermittent stream

Butturini

Bernal

Sabater

et al. 2002

Hydrol. Earth Syst. Sci.

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Stream and riparian groundwater hydrology has been studied in a small intermittent stream draining a forested catchment for a system representative of a Mediterranean climate. The relationship between precipitation and stream runoff and the interactions between stream water and the surrounding riparian groundwater have been analysed under a wide spectrum of meteorological conditions. The hypothesis that the hydrological condition of the near-stream groundwater compartment can regulate the runoff generation during precipitation events was tested. Stream runoff is characterised by a summer dry period, and precipitation input explained only 25% of runoff variability over the study period (r 2 =0.25, d.f.=51, p<0.001). The variability of precipitation v. stream runoff is explained partly by the hydrogeological properties of the riparian near-stream zone. This zone is characterised by high hydrological conductivity values and abrupt changes in groundwater level in summer. The summer dry period begins with a rapid decrease in near-stream groundwater level, and ends just after the first autumnal rain when the original groundwater level recovers suddenly. Within this period, storms do not cause major stream runoff since water infiltrates rapidly into the riparian compartment until it is refilled during the subsequent winter and spring; then the precipitation explains the 80% of the stream runoff variability (r 2 =0.80, d.f.=34, p<0.001). These results suggest that the hydrological interaction between the riparian groundwater compartment and the stream channel is important in elucidating the hydrological responses during drought periods in small Mediterranean streams.

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Section: Introductionmentioning

confidence: 99%

The influence of riparian-hyporheic zone on the hydrological responses in an intermittent stream

Butturini

Bernal

Sabater

et al. 2002

Hydrol. Earth Syst. Sci.

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“…However, often the value of H 0 is not small enough in comparison with H in order for this approximation to be valid (Munster et al, 1996;Serrano and Workman, 1998;Barlow et al, 2000;Peterson and Connelly, 2001;Langhoff et al, 2006;Ha et al, 2008;Sena and de Melo, 2012). In these cases the misplaced assumption could lead to biased estimates of k 0 and n e .…”

Section: Generalization Of the Early-time Equationmentioning

confidence: 99%

Technical Note: A simple generalization of the Brutsaert and Nieber analysis

Chor

Dias

2015

Hydrol. Earth Syst. Sci.

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Abstract. The Brutsaert and Nieber (1977) analysis is a wellknown method that can estimate soil parameters given discharge data for some aquifers. It has been used for several cases where the observed late-time behavior of the recession suggests that the water stream that is adjacent to the aquifer has nonzero depth. However, its mathematical formulation is, strictly speaking, not capable of reproducing these real-case scenarios since the early time behavior is based on a solution for which the aquifer stream has zero depth (PolubarinovaKochina, 1962). We propose a simple generalization for the Brutsaert and Nieber (1977) method that takes into consideration the depth of the adjacent water stream. The generalization is based on already available solutions by PolubarinovaKochina (1962), Chor et al. (2013) and Dias et al. (2014) and can be readily implemented with little effort. The original and proposed equations are tested against numerical simulations of the full nonlinear Boussinesq equation. A sensitivity analysis shows that the modification can have significant impact on the predicted values of both the drainable porosity and the saturated hydraulic conductivity.

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“…Their model is tested using piezometric records of the alluvial aquifer associated with the Scioto River, located at the south central part of Ohio. On the other hand, Serrano and Workman [13] establish a model similar to Workman et al [11], based on the nonlinear version of Boussinesq's equation and Dupuit's hypothesis; their numerical solution is derived using the decomposition method of Adomian [14]. Their model is applied in two cases of lateral fl ow: fi rst using the data observed at the alluvial aquifer associated with the Scioto River and also the model is applied to a hypothetical situation of drainage toward a channel of a shallow aquifer.…”

Section: Previous Workmentioning

confidence: 99%

On the physical and mathematical modeling of the coupling of rivers and aquifers as sustainable water supply systems

Martínez-Nájera¹,

Cruickshank-Villanueva²,

Berezowsky-Verduzco³

2013

Int. J. SDP

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A physical and mathematical model is presented to simulate realistic hydrological conditions and to evaluate coupled river and aquifer as water supply system. The approach is applied to estimate the extraction effects on the river and related aquifers under different conditions, with the purpose of determining the water supply potential and sustainability of the coupled system. The model consists of the conceptual and numerical coupling of two structures that take into account different aspects of the systems being considered. The fi rst is a free-surface fl ow structure, and it carries out the balance of mass and momentum along the river course, whereas the second one is of hydrogeological type that performs the mass balance in combination with Darcy's law in each aquifer of interest for evaluation purposes. The two parts of the model are coupled by their source terms with a very simple linear relationship; the numerical implementation is carried out by using MODFLOW and ISIS codes. After calibrating the models with fi eld parameters, an iterative coupling process is given where each structure must satisfy their criteria of internal convergence. The complete model is satisfactory whenever the iterative coupling process and the hydrogeological and hydraulic models converge. The conceptual approach is applied to the real and natural system constituted by the Papagayo river and the aquifers located in the river banks locally known as Norte, Obra de Toma, and Lomas de Chapultepec, in the State of Guerrero, México to determine their sustainable water supply potential. Keywords: darcy's law, equations of Saint-Venant, fl ow balance in aquifers, stream-aquifer-coupled systems. INTRODUCTIONThere are several approaches to analyze the river and aquifer interaction. The study of the fl ow in aquifers and streams through physical-based analysis and numerical simulation models has been carried out in many occasions considering both systems separately. In the best situations when analyzing one of them, the other is considered in a simple and incomplete manner; yet each individual component constitutes a dynamic system that in turn interacts dynamically with the other. Each system is governed by its own fi eld equations of balance of mass, energy, and constitutive relationships that are related among themselves by coupling terms. The purpose of this paper is to present an approach to simultaneously evaluate the behavior of rivers and aquifers as sustainable supply systems, under realistic conditions, based on their balance equations of mass and energy coupled by physical fl ow exchange terms. The numerical implementation is carried out by using MODFLOW and ISIS models. The combined model makes possible the evaluation of availability and sustainability of water for supply aims, when underground exploitation sites are near or on river courses; furthermore, the approximation remains valid when the wells lie far from river courses; in these case the river and aquifer interaction is less intense. One special situation aris...

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Modeling transient stream/aquifer interaction with the non-linear Boussinesq equation and its analytical solution

Cited by 86 publications

References 18 publications

The influence of riparian-hyporheic zone on the hydrological responses in an intermittent stream

The influence of riparian-hyporheic zone on the hydrological responses in an intermittent stream

Technical Note: A simple generalization of the Brutsaert and Nieber analysis

On the physical and mathematical modeling of the coupling of rivers and aquifers as sustainable water supply systems

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