Transient analytic elements for periodic Dupuit–Forchheimer flow

Bakker, Mark

doi:10.1016/j.advwatres.2003.10.001

Cited by 37 publications

(22 citation statements)

References 12 publications

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“…Hughes et al (1998) applied a periodic head boundary on one side of a one‐dimensional aquifer to estimate the potential dampening of variable heads from tidal forcings into an estuary. Bakker (2004) presented analytical element solutions for periodic flow that can be applied to simulate periodic flow in general settings. Dickinson et al (2004) applied a periodic specified head boundary condition to represent time‐varying water levels and infer the saturated diffusivity and time‐varying recharge rates.…”

Section: Analytical Modelmentioning

confidence: 99%

A Screening Tool for Delineating Subregions of Steady Recharge within Groundwater Models

Dickinson

Ferré

Bakker

et al. 2014

Vadose Zone Journal

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We have developed a screening method for simplifying groundwater models by delineating areas within the domain that can be represented using steady‐state groundwater recharge. The screening method is based on an analytical solution for the damping of sinusoidal infiltration variations in homogeneous soils in the vadose zone. The damping depth is defined as the depth at which the flux variation damps to 5% of the variation at the land surface. Groundwater recharge may be considered steady where the damping depth is above the depth of the water table. The analytical solution approximates the vadose zone diffusivity as constant, and we evaluated when this approximation is reasonable. We evaluated the analytical solution through comparison of the damping depth computed by the analytic solution with the damping depth simulated by a numerical model that allows variable diffusivity. This comparison showed that the screening method conservatively identifies areas of steady recharge and is more accurate when water content and diffusivity are nearly constant. Nomograms of the damping factor (the ratio of the flux amplitude at any depth to the amplitude at the land surface) and the damping depth were constructed for clay and sand for periodic variations between 1 and 365 d and flux means and amplitudes from nearly 0 to 1 × 10−3 m d−1. We applied the screening tool to Central Valley, California, to identify areas of steady recharge. A MATLAB script was developed to compute the damping factor for any soil and any sinusoidal flux variation.

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Section: Analytical Modelmentioning

confidence: 99%

A Screening Tool for Delineating Subregions of Steady Recharge within Groundwater Models

Dickinson

Ferré

Bakker

et al. 2014

Vadose Zone Journal

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“…Mantoglou et al (2004) provide solutions for multiple well pumping to manage saltwater intrusion and these solutions also have application to groundwater management in irrigation mosaics. The periodic solutions of Bakker (2004) and additive solutions of Manglik et al (2004) would also be useful when designing irrigation mosaics to minimise the impact on groundwater systems.…”

Section: Modelling and Analysis Tools For Studying Mosaicsmentioning

confidence: 99%

An overview of irrigation mosaics

Paydar

Cook

Xevi

et al. 2010

Irrigation and Drainage

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Irrigation mosaics, involving discrete patches of irrigated land dispersed across the landscape, may offer an alternative to traditional large-scale contiguous irrigation systems. This might be particularly attractive as a means of delivering improved social and economic opportunities for some rural and remote communities as well as better matching land use opportunities with landscape properties. The longer-term environmental impacts of irrigation mosaics that may impair the sustainability of an irrigation project and the surrounding area are still largely unknown. However, there are findings from ecological and hydrological studies of other mosaics that can help with analysis of irrigation mosaics. This paper provides an overview of some biophysical aspects of irrigation mosaics, lessons learnt from other mosaics (e.g. landscape and farming system mosaics) and the potential environmental impacts of irrigation mosaics. Application of some tools for particular groundwater conditions indicates some of these impacts compared to traditional large-scale systems. Irrigation mosaics could have both negative (more evaporation and water use, increased operational losses and costs) and positive (filtering surplus nutrients, enhanced biodiversity, preventing erosion, reduced area of impact around the irrigation area, lower water-table rise) effects on the environment. Copyright # 2010 Commonwealth of Australia. RÉ SUMÉ L'irrigation en mosaïque constitue une alternative aux grands systèmes irrigués issus du génie rural traditionnel. Elle consiste en un semis de petites parcelles irriguées réparties dans le paysage, avec pour principaux avantages de fournir des opportunités sociales et économiques aux populations rurales éloignées, et une meilleure adéquation entre l'utilisation du sol et les propriétés du paysage. Les impacts à long terme de l'irrigation en mosaïque qui peuvent affecter la durabilité du projet et les zones avoisinantes sont assez peu connus.Néanmoins, la recherche issue de travaux sur l'écologie et l'hydrologie d'autres mosaïques aide à analyser l'irrigation en mosaïque. Ce papier donne un aperçu des aspects biophysiques de l'irrigation en mosaïque, tire des leçons d'autres systèmes en mosaïque (paysages ruraux en mosaïque par exemple), et examine les impacts potentiels de l'irrigation en mosaïque. A cet effet certains outils de modélisation d'hydraulique souterraine utilisés sous certaines hypothèses de condition de nappe souterraine permettent une comparaison avec les grands systèmes irrigués classiques. Les impacts de l'irrigation en mosaïque sur l'environnement pourraient être négatifs (augmentation de l'évaporation et de la consommation d'eau, augmentation des pertes et des coûts opérationnels) et d'autres positifs (contrôle des nutriments en excès, augmentation de la biodiversité, contrôle de l'érosion, périmètre impacté réduit autour de la zone d'irrigation, élévation moindre de la nappe).

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“…The radial flow Q c,r for a cosine well consists of the contribution of a steady well with discharge Q 0 minus a well with discharge Q 0 cos(2π t / T ). The latter is obtained through linearization of the governing Boussinesq equation and is given by, e.g., Streltsova (1988); it is written here in the form given by Bakker (2004) where stands for the real part of a complex function, K 1 is the modified Bessel function of the second kind and first order, i is the imaginary unit, and λ is called the characteristic length, defined as where k is the hydraulic conductivity, is an average saturated thickness of the aquifer, and n is the effective porosity (the storativity of the aquifer). Note that the solution () has no initial condition, as a cosine well is pumping with discharge () forever.…”

Section: A Well With a Cosine‐shaped Discharge Functionmentioning

confidence: 99%

Where Do Periodic Variations in the Discharge of a Well Become Negligible?

Bakker

2005

Groundwater

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A rule of thumb is presented to determine where variations in the discharge of a pumping well have a significant influence on the flow in an aquifer. The rule of thumb relates the period of the variation of the discharge to the distance from the well beyond which the transient effect on the flow in the aquifer is insignificant. For example, when an irrigation well pumps intermittently during the growing season, the rule may be applied to determine the distance from the well beyond which flow in the aquifer can be simulated with an average discharge during the growing season; the distance from the well beyond which flow can be simulated with a steady, yearly averaged discharge can also be computed.

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Transient analytic elements for periodic Dupuit–Forchheimer flow

Cited by 37 publications

References 12 publications

A Screening Tool for Delineating Subregions of Steady Recharge within Groundwater Models

A Screening Tool for Delineating Subregions of Steady Recharge within Groundwater Models

An overview of irrigation mosaics

Where Do Periodic Variations in the Discharge of a Well Become Negligible?

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