Kinematic Wave Modelling of Vertical Movement of Snowmelt Water Through a Snowpack

Singh, Vijay P.; Bengtsson, Lars; Westerström, Göran

doi:10.1002/(sici)1099-1085(199702)11:2<149::aid-hyp427>3.0.co;2-o

Cited by 10 publications

(4 citation statements)

References 22 publications

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“…However, Another simplification of Richards equation is the kinematic wave approximation (Charbeneau, 1984;Sisson et al, 1980;Smith, 1983). It neglects capillary forces but captures the dynamics of gravity-driven unsaturated flow and has been used to study water infiltration, redistribution and drainage in soil and snow (Clark et al, 2017;Colbeck, 1972;Meyer & Hewitt, 2017;Singh et al, 1997). This approximation leads to a non-linear wave equation that allows solution by the method of characteristics (MOC).…”

Section: Plain Language Summarymentioning

confidence: 99%

Analysis of Gravity‐Driven Infiltration With the Development of a Saturated Region

Shadab

Hesse

2022

Water Resources Research

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Infiltration is the entry of surface water into soil and its subsequent downward migration (Brutsaert, 2005). It partitions surface water into runoff and subsurface water and is therefore a crucial element of the hydrological cycle (Morbidelli et al., 2018). Infiltration affects a myriad of processes both natural and anthropogenic, for example, groundwater recharge, irrigation, flooding, and erosion (see Vereecken et al. (2019) for review). Infiltration of rain or surface water is a complex process that depends on many factors such as soil type, vegetation, topography, rainfall conditions and anthropogenic factors (Morbidelli et al., 2018;Te Chow, 2010). While the quantitative study of infiltration has a long history, see Assouline (2013) for a historical review, the subject has received renewed interest due to its essential role in Land Surface Models (LSMs) (Clark et al., 2015). These LSMs are an important components of larger-scale Earth System Models (ESMs) needed to understand changes in the hydrologic cycle due to climate change and to develop societal adaptation strategies. As such, infiltration has been the subject of several recent reviews by Morbidelli et al. (2018), Vereecken et al. (2019), and Nimmo (2021) that highlight the need for continued improvements of our understanding of

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Section: Plain Language Summarymentioning

confidence: 99%

Analysis of Gravity‐Driven Infiltration With the Development of a Saturated Region

Shadab

Hesse

2022

Water Resources Research

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“…With these values, K = 1.4 m 1/3 s −1/3 . Larger melt fluxes overtake smaller melt fluxes so that shock waves develop [ Dunne et al , 1976; Singh et al , 1997]. Thus the shape and timing of the melt waves leaving the snowpack vary nonlinearly with snow depth and melt rate.…”

Section: Variable Velocity Modelmentioning

confidence: 99%

How snowpack heterogeneity affects diurnal streamflow timing

Lundquist

Dettinger

2005

Water Resources Research

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[1] Diurnal cycles of streamflow in snow-fed rivers can be used to infer the average time a water parcel spends in transit from the top of the snowpack to a stream gauge in the river channel. This travel time, which is measured as the difference between the hour of peak snowmelt in the afternoon and the hour of maximum discharge each day, ranges from a few hours to almost a full day later. Travel times increase with longer percolation times through deeper snowpacks, and prior studies of small basins have related the timing of a stream's diurnal peak to the amount of snow stored in a basin. However, in many larger basins the time of peak flow is nearly constant during the first half of the melt season, with little or no variation between years. This apparent self-organization at larger scales can be reproduced by employing heterogeneous observations of snow depths and melt rates in a model that couples porous medium flow through an evolving snowpack with free surface flow in a channel.

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“…Wankiewicz (1978a-c) considered Equation (88) to incorporate the effect of pressure gradient in snow. Singh et al (1997a) provided a comprehensive mathematical treatment of vertical movement of snowmelt water in snow.…”

Section: Movement Of Meltwater In Deep Snowpacksmentioning

confidence: 99%

Is hydrology kinematic?

Singh

2002

Hydrological Processes

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Abstract:A wide range of phenomena, natural as well as man-made, in physical, chemical and biological hydrology exhibit characteristics similar to those of kinematic waves. The question we ask is: can these phenomena be described using the theory of kinematic waves? Since the range of phenomena is wide, another question we ask is: how prevalent are kinematic waves? If they are widely pervasive, does that mean hydrology is kinematic or close to it? This paper addresses these issues, which are perceived to be fundamental to advancing the state-of-the-art of water science and engineering.

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Kinematic Wave Modelling of Vertical Movement of Snowmelt Water Through a Snowpack

Cited by 10 publications

References 22 publications

Analysis of Gravity‐Driven Infiltration With the Development of a Saturated Region

Analysis of Gravity‐Driven Infiltration With the Development of a Saturated Region

How snowpack heterogeneity affects diurnal streamflow timing

Is hydrology kinematic?

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