A steady-state saturation model to determine the subsurface travel time (STT) in complex hillslopes

Sabzevari, T.; Talebi, Ali; Ardakanian, Reza; Shamsai, Abolfazl

doi:10.5194/hessd-6-7179-2009

Cited by 8 publications

(15 citation statements)

References 44 publications

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“…The normalized plan form geometry and profile shape function is given respectively (Agnese et al, 2007;Sabzevari1 et al, 2010):…”

Section: The Overland Flow Modelmentioning

confidence: 99%

“…By normalizing the distance (ξ = x/L) and substituting the Equation (20) and (21) into (18), the shape factor for all complex hillslopes can be calculated as follows (Sabzevari1 et al, 2010):…”

Section: The Overland Flow Modelmentioning

confidence: 99%

“…The normalized plan form geometry and profile shape function is given respectively (Agnese et al ., ; Sabzevari1 et al ., ):

_{p l} ((), ξ) = \frac{A ((), x)}{w ((), x)} = \frac{true {true\int}_{0}^{L ξ} c_{w} e x p ([], c_{s} {(1 - ξ)}^{(2 - n)}) d ξ}{c_{w} e x p ([], c_{s} {(1 - ξ)}^{(2 - n)})}

_{p r} ((), ξ) = \frac{S ((), x)}{\overset{true¯}{s}} = \frac{(||, \frac{d z}{d x}) = n \frac{H}{L} {(1 - \frac{x}{L})}^{n - 1} = n \overset{s}{true} {(1 - ξ)}^{n - 1}}{\overset{s}{true} = H true/ L} = n {(1 - ξ)}^{n - 1}

…”

Section: Introductionmentioning

confidence: 99%

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Physically based modelling of sheet erosion (detachment and deposition processes) in complex hillslopes

et al. 2016

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Abstract:A one-dimensional uncoupled model governed by this research is a physics-based modelling of the rainfall-runoff induced erosion process. The presented model is composed of three parts of a three-dimensional (3D) hillslope geometry, a nonlinear storage (kinematic wave) model for hillslope hydrological response, and an unsteady physically based surface erosion model. The 3D hillslope geometry model allows describing of the hillslope morphology by defining their plan shape and profile curvature. By changing these two topographic parameters, nine basic hillslope types are derived. The modelling of hillslope hydrological response is based on a flow continuity equation as the relation of discharge and flow depth is passed on kinematic wave approximation. The erosion model is based on a mass conservation equation for unsteady flow. The model assumes that suspended sediment does not affect flow dynamics. The model also accounts for the effect of flow depth plus loose soil depth on soil detachment. The presented model was run for two different precipitations, slope content, and length, and results were plotted for sediment detachment/deposition rate. Based on the obtained results, in hillslopes with convex and straight profile curvatures, sediment detachment only occurred in the whole length of the hillslope. However, in concave ones, sediment detachment and deposition only occurred together in hillslope. The hillslopes with straight profiles and convergent plans have the highest rate of detachment. Also, results show that most detachment rates occur in convex profile curvatures, which are about 15 times more than in straight profiles.

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“…The normalized plan form geometry and profile shape function is given respectively (Agnese et al, 2007;Sabzevari1 et al, 2010):…”

Section: The Overland Flow Modelmentioning

confidence: 99%

Section: The Overland Flow Modelmentioning

confidence: 99%

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Physically based modelling of sheet erosion (detachment and deposition processes) in complex hillslopes

et al. 2016

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“…To the best of our knowledge, no hillslope hydrologists (e.g. Troch et al 2003, Sabzevari et al 2009) have studied the front-evolution problems with seepage-face controlled 'tails' of the Boussinesq equation. Lembke (1886), who faced a drainage problem with a moving front similar to our Fig.…”

Section: From Pde To Ode: Lembke's Methodsmentioning

confidence: 99%

A transient phreatic surface mound, evidenced by a strip of vegetation on an earth dam

Kacimov

Brown

2015

Hydrological Sciences Journal

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On the slopes of the embankment of the Al-Khod groundwater recharge-flood protection dam (Oman), a band of scrub vegetation community emerged after torrential rains and temporary filling of the dam reservoir. Species composition differs markedly on both sides of the embankment, with many exotics found on the reservoir side and more typical gravel-desert species on the outside. Hydro-ecologically, the vegetation is interpreted as the footprint of a temporary storage of water, which is a small-sized groundwater mound within the permeable shoulder of the levee. The levee, as an anthropogenic landform, induces a U-turn (gravitational slumping-lateral seepage-transpirational moisture ascent) topology of seepage. The Lembke method of successive variations of steady states is used in modelling the water table dynamics. In the early stage of the mound decay, outflow through a seepage face of the shoulder is modelled by the Barenblatt slumping parabola of the phreatic-zone part of the flow domain, which is perfectly matched with the Youngs exact solution for a purely horizontal flow through a porous wedge. At the stitching cross-section, the flow rates and saturated depths in the two zones coincide. The late stage of mound evolution is characterized by transpiration by the plant roots projected onto a shrinking free surface, with the Barenblatt and Youngs solutions conjugated but without the outcrop of the saturated mound on the levee slope. Ordinary differential equations for the sliding or descending locus of the intersection of the parabola and the triangle hypotenuse are integrated in a closed form or by the Runge-Kutta method. The dwindling saturated volume and the rate of drainage are obtained. They can be used in assessments of the hydro-ecological sustainability of slope-rooted shrubs (vegetation survival between rare rainfall episodes).Un dôme piézométrique transitoire révélé par une bande de végétation sur un barrage en terre Résumé Sur les pentes de la digue du barrage Al-Khod (Oman), construit pour la recharge de nappe et la protection contre les inondations, une bande de végétation arbustive est apparue après des pluies torrentielles et le remplissage temporaire de la retenue du barrage. La composition végétale diffère nettement des deux côtés de la digue, avec de nombreuses espèces exotiques sur le bord du réservoir et des espèces plus typiques des déserts caillouteux à l'extérieur. Hydro-écologiquement, la végétation est interprétée comme l'empreinte d'un stockage temporaire de l'eau, c'est-à-dire un petitdôme piézométriquedans un épaulement perméable de la digue. La digue, relief anthropique, induit une percolation en U (descente gravitationnelle-cheminement latéral-remontée par transpiration). La méthode de Lembke (1886) de successions d'états permanents est utilisée pour modéliser la dynamique de la nappe phréatique. Au stade précoce de baisse du dôme, le flux sortantau travers d'une surface de percolation de l'épaulement est modélisé par la parabole de décroissance de Barenblatt dans la partie phréatiqu...

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“…Hillslope shape is an important factor affecting rainfall-runoff partitioning. Convex hillslopes exhibit higher transport power (due to higher slope) and lower saturation capacity than concave hillslopes (Sabzevari et al, 2010) (see To represent this relationship, I fit a third order polynomial function to the topographic data extracted from the DEM: 1. The bedrock surface is presumed to be parallel to the hillslope surface, with ( representing the effective distance between these two layers.…”

Section: Model Parametersmentioning

confidence: 99%

Exploring the benefits of satellite remote sensing for flood prediction across scales

Cunha¹

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Space-borne remote sensing datasets have the potential to allow us to progress towards global scale flood prediction systems. However, these datasets are limited in terms of space-time resolution and accuracy, and the best use of such data requires understanding how uncertainties propagate through hydrological models. An unbiased investigation of different datasets for hydrological modeling requires a parsimonious calibration-free model, since calibration masks uncertainties in the data and model structure. This study, which addresses these issues, consists of two parts: 1) the development and validation of a multi-scale distributed hydrological model whose parameters can be directly linked to physical properties of the watershed, thereby avoiding the need of calibration, and 2) application of the model to demonstrate how data uncertainties propagate through the model and affect flood simulation across scales. I based the model development on an interactive approach for model building. I systematically added processes and evaluated their effects on flood prediction across multiple scales. To avoid the need for parameter calibration, the level of complexity in representing physical processes was limited by data availability. I applied the model to simulate flows for the Cedar River, Iowa River and Turkey River basins, located in Iowa. I chose this region because it is rich in high quality hydrological information that can be used to validate the model. Moreover, the area is frequently flooded and was the center of an extreme flood event during the summer of 2008. I demonstrated the model's skills by simulating medium to high-flow conditions; however the model's performance is relatively poor for dry (low flow) conditions. Poor model performance during low flows To my sweet parents and siblings,

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A steady-state saturation model to determine the subsurface travel time (STT) in complex hillslopes

Cited by 8 publications

References 44 publications

Physically based modelling of sheet erosion (detachment and deposition processes) in complex hillslopes

Physically based modelling of sheet erosion (detachment and deposition processes) in complex hillslopes

A transient phreatic surface mound, evidenced by a strip of vegetation on an earth dam

Exploring the benefits of satellite remote sensing for flood prediction across scales

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