A similarity approach to determine response times to steady-state saturation in landscapes

Aryal, Santosh; O’Loughlin, Emmett M.; Mein, Russell G

doi:10.1016/j.advwatres.2004.10.008

Cited by 32 publications

(30 citation statements)

References 45 publications

(87 reference statements)

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“…In this paper, we proved the hillslope-storage kinematic wave model is suitable for investigating the response of the complex hillslopes and some of our results are similar to the Aryal et al (2005) results in the steady state condition but the hsB model can be also extended for unsteady state condition. Troch et al (2003) and Talebi et al (2008b) have used the unsteady-state hsB model in their researches.…”

Section: Discussionsupporting

confidence: 55%

“…This concept has also been proved by Aryal et al (2005). They proved that the travel time in straight-parallel hillslopes is a function only of smd/∇q after saturation occurs, where ∇q is the net change in flux and smd is the soil moisture deficit.…”

Section: The Subsurface Travel Time In Straight Hillslopesmentioning

confidence: 84%

“…Aryal et al (2005) used the Zaslavsky and Rogowski (1969) geometry equations and derived three equations for travel time in hillslopes with concave , convex and straight profiles and all plan form geometries, however, in this paper, since we have used the Evans (1980) equation for modeling of slopes geometry, one equation is presented for all complex hillslopes. In a soil profile over an impermeable layer, the interstitial velocity in soil pores according to Darcy's law is (Aryal2005):…”

Section: The Complex Hillslope Travel Time In the Subsurface Flowmentioning

confidence: 99%

“…He linearized the hsB equations by exponential width functions and introduced the hillslope Pe'clet number, an efficient similarity parameter for describing the hillslope subsurface flow response. Aryal (2005) and O'Loughlin (2005) have shown that the hillslope travel time in subsurface flow is dependent on hillslope length, hydraulic conductivity, plan shape, profile curvature and recharge rate. They demonstrated equations of saturation zone boundary for hillslope in steady state and introduced three equations for calculating complex hillslopes travel time based on Zaslavsky and Rogowski (1969) geometry equations.…”

Section: Introductionmentioning

confidence: 99%

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

Sabzevari

Talebi

Ardakanian

et al. 2010

Hydrol. Earth Syst. Sci.

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Abstract. The travel time of subsurface flow in complex hillslopes (hillslopes with different plan shape and profile curvature) is an important parameter in predicting the subsurface flow in catchments. This time depends on the hillslopes geometry (plan shape and profile curvature), soil properties and climate conditions. The saturation capacity of hillslopes affect the travel time of subsurface flow. The saturation capacity, and subsurface travel time of compound hillslopes depend on parameters such as soil depth, porosity, soil hydraulic conductivity, plan shape (convergent, parallel or divergent), hillslope length, profile curvature(concave, straight or convex) and recharge rate to the groundwater table. An equation for calculating subsurface travel time for all complex hillslopes was presented. This equation is a function of the saturation zone length (SZL) on the surface. Saturation zone length of the complex hillslopes was calculated numerically by using the hillslope-storage kinematic wave equation for subsurface flow, so an analytical equation was presented for calculating the saturation zone length of the straight hillslopes and all plan shapes geometries. Based on our results, the convergent hillslopes become saturated very soon and they showed longer SZL with shorter travel time compared to the parallel and divergent ones. The subsurface average flow rate in convergent hillslopes is much less than the divergent ones in the steady state conditions. Concerning to subsurface travel time , convex hillslopes have more travel time in comparison to straight and concave hillslopes. The convex hillslopes exhibit more average flow rate than concave hillslopes and their saturation capacity is very low. Finally, the effects of recharge rate variations, average bedrock slope and soil depth on saturation zone extension were investigated.

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Section: Discussionsupporting

confidence: 55%

Section: The Subsurface Travel Time In Straight Hillslopesmentioning

confidence: 84%

Section: The Complex Hillslope Travel Time In the Subsurface Flowmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

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

Sabzevari

Talebi

Ardakanian

et al. 2010

Hydrol. Earth Syst. Sci.

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“…In a later paper, this theory is extended to the prediction of response time after a change in water balance (Aryal et al, 2005). All examples described above use some simplifying assumptions regarding the flow process, being either in steady state, or approximated by the kinematic wave theory, and thus ignoring diffusive hydraulic processes.…”

Section: Introductionmentioning

confidence: 99%

Curvature distribution within hillslopes and catchments and its effect on the hydrological response

Bogaart

Troch

2006

Hydrol. Earth Syst. Sci.

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Abstract. Topographic convergence and divergence are first order controls on the hillslope and catchment hydrological response, as evidenced by similarity parameter analyses. Hydrological models often do not take convergence as measured by contour curvature directly into account; instead they use comparable measures like the topographic index, or the hillslope width function. This paper focuses on the question how hillslope width functions and contour curvature are related within the Plynlimon catchments, Wales. It is shown that the total width function of all hillslopes combined suggest that the catchments are divergent in overall shape, which is in contrast to the perception that catchments should be overall convergent. This so-called convergence paradox is explained by the effect of skewed curvature distributions and extreme curvatures near the channel network. The hillslopestorage Bossiness (hsB) model is used to asses the effect of within-hillslope convergence variability on the hydrological response. It is concluded that this effect is small, even when the soil saturation threshold is exceeded. Also described in this paper is a novel algorithm to compute flow path lengths on hillslopes towards the drainage network, using the multidirectional flow redistribution method.

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2005

Hydrol. Process.

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A similarity approach to determine response times to steady-state saturation in landscapes

Cited by 32 publications

References 45 publications

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

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

Curvature distribution within hillslopes and catchments and its effect on the hydrological response

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