Solutions for the diurnally forced advection‐diffusion equation to estimate bulk fluid velocity and diffusivity in streambeds from temperature time series

Luce, Charles H.; Tonina, Daniele; Gariglio, Frank; Applebee, Ralph

doi:10.1029/2012wr012380

Cited by 144 publications

(273 citation statements)

References 63 publications

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“…Coupled with in situ measurements, two methods, based on heat transport governing equations, are used to quantify stream-aquifer exchanges (Anderson, 2005): 1. Analytical models (Stallman, 1965;Anderson, 2005) are widely used to invert temperature measurements solving the 1-D heat transport equation analytically under simplifying assumptions (sinusoidal or steady boundary conditions and homogeneity of hydraulic and thermal properties) (Anibas et al, 2009(Anibas et al, , 2012Becker et al, 2004;Hatch et al, 2006;Jensen and Engesgaard, 2011;Keery et al, 2007;Lautz et al, 2010;Luce et al, 2013;Rau et al, 2010;Schmidt et al, 2007;Swanson and Cardenas, 2011). …”

Section: Temperature As a Tracer Of The Flow -The Local Scalementioning

confidence: 99%

Continental hydrosystem modelling: the concept of nested stream–aquifer interfaces

Flipo

Mouhri

Labarthe

et al. 2014

Hydrol. Earth Syst. Sci.

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Abstract. Coupled hydrological-hydrogeological models, emphasising the importance of the stream-aquifer interface, are more and more used in hydrological sciences for pluridisciplinary studies aiming at investigating environmental issues. Based on an extensive literature review, stream-aquifer interfaces are described at five different scales: local [10 cm- . This led us to develop the concept of nested stream-aquifer interfaces, which extends the well-known vision of nested groundwater pathways towards the surface, where the mixing of low frequency processes and high frequency processes coupled with the complexity of geomorphological features and heterogeneities creates hydrological spiralling. This conceptual framework allows the identification of a hierarchical order of the multi-scale control factors of stream-aquifer hydrological exchanges, from the larger scale to the finer scale. The hyporheic corridor, which couples the river to its 3-D hyporheic zone, is then identified as the key component for scaling hydrological processes occurring at the interface. The identification of the hyporheic corridor as the support of the hydrological processes scaling is an important step for the development of regional studies, which is one of the main concerns for water practitioners and resources managers.In a second part, the modelling of the stream-aquifer interface at various scales is investigated with the help of the conductance model. Although the usage of the temperature as a tracer of the flow is a robust method for the assessment of stream-aquifer exchanges at the local scale, there is a crucial need to develop innovative methodologies for assessing stream-aquifer exchanges at the regional scale. After formulating the conductance model at the regional and intermediate scales, we address this challenging issue with the development of an iterative modelling methodology, which ensures the consistency of stream-aquifer exchanges between the intermediate and regional scales.Finally, practical recommendations are provided for the study of the interface using the innovative methodology MIM (Measurements-Interpolation-Modelling), which is graphically developed, scaling in space the three pools of methods needed to fully understand stream-aquifer interfaces at various scales. In the MIM space, stream-aquifer interfaces that can be studied by a given approach are localised. The efficiency of the method is demonstrated with two examples. The first one proposes an upscaling framework, structured around river reaches of ∼ 10-100 m, from the local to the watershed scale. The second example highlights the usefulness of space borne data to improve the assessment of streamaquifer exchanges at the regional and continental scales. We conclude that further developments in modelling and field measurements have to be undertaken at the regional scale to enable a proper modelling of stream-aquifer exchanges from the local to the continental scale.

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Section: Temperature As a Tracer Of The Flow -The Local Scalementioning

confidence: 99%

Continental hydrosystem modelling: the concept of nested stream–aquifer interfaces

Flipo

Mouhri

Labarthe

et al. 2014

Hydrol. Earth Syst. Sci.

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“…Longitudinal diffusion depends on the sediment and water thermal properties, which are bounded in a narrow range [Constantz and Stonestorm, 2003]. Recently, Luce et al [2013] proposed a new methodology to infer these properties from temperature measurements, thereby facilitating the applications of our model as an alternative to one-dimensional diffusion type methods based on lumped parameters. The residence time distribution and, therefore, the advective transport are intimately related to the hyporheic flow structure.…”

Section: Discussionmentioning

confidence: 99%

“…[6] Despite the importance of intragravel temperature on stream ecology, previous studies are limited to field measurements and numerical models in one or two dimensions [Hewlett and Fortson, 1982;Lapham, 1989;Mellina et al, 2002;Constantz and Stonestorm, 2003;Anderson, 2005;Hatch et al, 2006;Brown et al, 2007;Lautz et al, 2010;Gariglio et al, 2012;Luce et al, 2013]. Most studies focus on one-dimensional heat transport and temperature profile models, which use temperature as a tracer to quantify stream-groundwater interaction [Lapham, 1989;Constantz and Stonestorm, 2003;Anderson, 2005;Hatch et al, 2006;Lautz et al, 2010;Gariglio et al, 2012;Luce et al, 2013] and predict the vertical component of the downwelling and upwelling fluxes [Hewlett and Fortson, 1982;Mellina et al, 2002;Brown et al, 2007].…”

Section: Introductionmentioning

confidence: 99%

“…Most studies focus on one-dimensional heat transport and temperature profile models, which use temperature as a tracer to quantify stream-groundwater interaction [Lapham, 1989;Constantz and Stonestorm, 2003;Anderson, 2005;Hatch et al, 2006;Lautz et al, 2010;Gariglio et al, 2012;Luce et al, 2013] and predict the vertical component of the downwelling and upwelling fluxes [Hewlett and Fortson, 1982;Mellina et al, 2002;Brown et al, 2007]. Two-dimensional studies are limited to few numerical analysis of hyporheic temperature distributions in streams with idealized dune-like triangular bed forms [Cardenas and Wilson, 2007], channel-spanning logs [Sawyer et al, 2012], and to the analysis of a few experimental data in gravel bed rivers [e.g., Malard et al, 2002;Seydell et al, 2007].…”

Section: Introductionmentioning

confidence: 99%

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Effects of stream morphodynamics on hyporheic zone thermal regime

Marzadri

Tonina

Bellin

2013

Water Resources Research

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[1] We develop a heat-transport model to study the impact of streambed morphology on temperature distribution within the hyporheic zone of gravel bed rivers. The heat transport model, which includes conduction, diffusion, and advection, is solved by a Lagrangian approach, neglecting transverse dispersion and considering stream water temperature as boundary condition at the streambed. First, we show that the model accurately reproduces the temperature distribution measured within the hyporheic zone of a reach of the Bear Valley Creek, Idaho (USA). Our model reveals spatially complex patterns of hyporheic water temperatures that vary with time within the hyporheic zone and at the streambed surface. The analysis shows that temperature distributions are primarily related to the hyporheic residence time and consequently to the bed morphology and in-stream flow discharge. Results show that the hyporheic temperature amplitudes are smaller than the surface water temperature and they decrease with stream size, leading hyporheic zones of large streams to be independent from in-stream daily temperature fluctuations.Citation: Marzadri, A., D. Tonina, and A. Bellin (2013), Effects of stream morphodynamics on hyporheic zone thermal regime, Water Resour.

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“…Thus, many methods ranging from pore-space to watershed scale, like net change in flow (Payn et al 2009;Ruehl et al 2006), solute tracers (Harvey et al 1996;Han and Endreny 2013), mini-piezometers (Conant 2004;Rosenberry et al 2008), seepage meters (Murdoch and Kelly 2003;Rosenberry et al 2013), temperature gradient (Lapham 1989;Hatch et al 2006;Keery et al 2007;Luce et al 2013), mass balance models (Becker et al 2004;Westhoff et al 2011;Boughton et al 2012) and geographic information systems (GIS) models (Lin et al 2009;Crowley 2012), have been developed for quantifying the hyporheic exchange. These methods can be classified based on whether their measurements are spatially averaged (net change in flow and channel water balance) or from points (mini-piezometer, seepage meters, and temperature gradient).…”

Section: Introductionmentioning

confidence: 99%

Heat tracing to determine spatial patterns of hyporheic exchange across a river transect

Chen

Zhang

et al. 2017

Hydrogeol J

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Significant spatial variability of water fluxes may exist at the water-sediment interface in river channels and has great influence on a variety of water issues. Understanding the complicated flow systems controlling the flux exchanges along an entire river is often limited due to averaging of parameters or the small number of discrete point measurements usually used. This study investigated the spatial pattern of the hyporheic flux exchange across a river transect in China, using the heat tracing approach. This was done with measurements of temperature at high spatial resolution during a 64-h monitoring period and using the data to identify the spatial pattern of the hyporheic exchange flux with the aid of a one-dimensional conduction-advection-dispersion model (VFLUX). The threshold of neutral exchange was considered as 126 L m −2 d −1 in this study and the heat tracing results showed that the change patterns of vertical hyporheic flux varied with buried depth along the river transect; however, the hyporheic flux was not simply controlled by the streambed hydraulic conductivity and water depth in the river transect. Also, lateral flow dominated the hyporheic process within the shallow high-permeability streambed, while the vertical flow was dominant in the deep low-permeability streambed. The spatial pattern of hyporheic exchange across the river transect was naturally controlled by the heterogeneity of the streambed and the bedform of the stream cross-section. Consequently, a two-dimensional conceptual illustration of the hyporheic process across the river transect is proposed, which could be applicable to river transects of similar conditions.

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Solutions for the diurnally forced advection‐diffusion equation to estimate bulk fluid velocity and diffusivity in streambeds from temperature time series

Cited by 144 publications

References 63 publications

Continental hydrosystem modelling: the concept of nested stream–aquifer interfaces

Continental hydrosystem modelling: the concept of nested stream–aquifer interfaces

Effects of stream morphodynamics on hyporheic zone thermal regime

Heat tracing to determine spatial patterns of hyporheic exchange across a river transect

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