Quantifying hyporheic exchange at high spatial resolution using natural temperature variations along a first‐order stream

Hyporheic exchange is an important process that underpins stream ecosystem function, and there have been numerous ways to characterize and quantify exchange flow rates and hyporheic zone size. The most common approach, using conservative stream tracer experiments and 1?D solute transport modeling, results in oversimplified representations of the system. Here we present a new approach to quantify hyporheic exchange and the size of the hyporheic zone (HZ) using high?resolution temperature measurements and a coupled 1?D transient storage and energy balance model to simulate in?stream water temperatures. Distributed temperature sensing was used to observe in?stream water temperatures with a spatial and temporal resolution of 2 and 3 min, respectively. The hyporheic exchange coefficient (which describes the rate of exchange) and the volume of the HZ were determined to range between 0 and 2.7 × 10?3 s?1 and 0 and 0.032 m3 m?1, respectively, at a spatial resolution of 1–10 m, by simulating a time series of in?stream water temperatures along a 565 m long stretch of a small first?order stream in central Luxembourg. As opposed to conventional stream tracer tests, two advantages of this approach are that exchange parameters can be determined for any stream segment over which data have been collected and that the depth of the HZ can be estimated as well. Although the presented method was tested on a small stream, it has potential for any stream where rapid (in regard to time) temperature change of a few degrees can be obtained.

[1]  Stephen E. Silliman,et al.  Quantifying downflow through creek sediments using temperature time series: one-dimensional solution incorporating measured surface temperature , 1995 .

[2]  K. Singha,et al.  Imaging hyporheic zone solute transport using electrical resistivity , 2009 .

[3]  Steven C. Chapra,et al.  Temperature Model for Highly Transient Shallow Streams , 1997 .

[4]  M. Cardenas Stream‐aquifer interactions and hyporheic exchange in gaining and losing sinuous streams , 2009 .

[5]  D. McKnight,et al.  Experimental investigations into processes controlling stream and hyporheic temperatures, Fryxell Basin, Antarctica , 2006 .

[6]  Guus S. Stelling,et al.  A staggered conservative scheme for every Froude number in rapidly varied shallow water flows , 2003 .

[7]  M. Bayani Cardenas,et al.  Surface water‐groundwater interface geomorphology leads to scaling of residence times , 2008 .

[8]  H. Savenije,et al.  Quantifying the effect of in-stream rock clasts on the retardation of heat along a stream , 2010 .

[9]  J. Monteith Evaporation and surface temperature , 2007 .

[10]  Steven M Gorelick,et al.  Quantifying stream-aquifer interactions through the analysis of remotely sensed thermographic profiles and in situ temperature histories. , 2006, Environmental science & technology.

[11]  Brian J. Wagner,et al.  1 – Quantifying Hydrologic Interactions between Streams and Their Subsurface Hyporheic Zones , 2000 .

[12]  A. Binley,et al.  Temporal and spatial variability of groundwater–surface water fluxes: Development and application of an analytical method using temperature time series , 2007 .

[13]  J. McNamara,et al.  Transient storage as a function of geomorphology, discharge, and permafrost active layer conditions in Arctic tundra streams , 2007 .

[14]  Wayne W. Lapham,et al.  Use of temperature profiles beneath streams to determine rates of vertical ground-water flow and vertical hydraulic conductivity , 1989 .

[15]  K. Fredrick,et al.  Estimating flow and flux of ground water discharge using water temperature and velocity , 2004 .

[16]  Mary P Anderson,et al.  Heat as a Ground Water Tracer , 2005, Ground water.

[17]  Greg Pohll,et al.  Incorporating seepage losses into the unsteady streamflow equations for simulating intermittent flow along mountain front streams , 2005 .

[18]  Heinz G. Stefan,et al.  Stream temperature dynamics: Measurements and modeling , 1993 .

[19]  Robert L. Runkel,et al.  One-Dimensional Transport with Inflow and Storage (OTIS): A Solute Transport Model for Streams and Rivers , 1998 .

[20]  John S. Selker,et al.  Environmental temperature sensing using Raman spectra DTS fiber‐optic methods , 2009 .

[21]  P. Reichert,et al.  Modeling the effect of water diversion on the temperature of mountain streams , 2003 .

[22]  Luc Thévenaz,et al.  Distributed fiber‐optic temperature sensing for hydrologic systems , 2006 .

[23]  Andrew T. Fisher,et al.  Quantifying surface water–groundwater interactions using time series analysis of streambed thermal records: Method development , 2006 .

[24]  A Parriaux,et al.  Stream temperature response to three riparian vegetation scenarios by use of a distributed temperature validated model. , 2010, Environmental science & technology.

[25]  Roy Haggerty,et al.  Evaluation of alternative groundwater flow models for simulating hyporheic exchange in a small mountain stream , 2009 .

[26]  David K. Stevens,et al.  Data collection methodology for dynamic temperature model testing and corroboration , 2005 .

[27]  Anders Wörman,et al.  Reach scale and evaluation methods as limitations for transient storage properties in streams and rivers , 2007 .

[28]  G. Poole,et al.  An Ecological Perspective on In-Stream Temperature: Natural Heat Dynamics and Mechanisms of Human-CausedThermal Degradation , 2001, Environmental management.

[29]  Sean Andrew McKenna,et al.  On the late‐time behavior of tracer test breakthrough curves , 2000 .

[30]  J. Constantz Interaction between stream temperature, streamflow, and groundwater exchanges in alpine streams , 1998 .

[31]  S. Wondzell Effect of morphology and discharge on hyporheic exchange flows in two small streams in the Cascade Mountains of Oregon, USA , 2006 .

[32]  R. Moore,et al.  Stream temperatures in two shaded reaches below cutblocks and logging roads: downstream cooling linked to subsurface hydrology , 2003 .

[33]  David M. Hannah,et al.  Inter‐disciplinary perspectives on processes in the hyporheic zone , 2011 .

[34]  R. Stallman Steady one‐dimensional fluid flow in a semi‐infinite porous medium with sinusoidal surface temperature , 1965 .

[35]  Roy A. Walters,et al.  Simulation of solute transport in a mountain pool‐and‐riffle stream: A transient storage model , 1983 .

[36]  R. Haggerty,et al.  Determining in‐channel (dead zone) transient storage by comparing solute transport in a bedrock channel–alluvial channel sequence, Oregon , 2005 .

[37]  J. Harvey,et al.  Characterizing multiple timescales of stream and storage zone interaction that affect solute fate and transport in streams , 2000 .

[38]  Christopher D. Arp,et al.  A method for estimating surface transient storage parameters for streams with concurrent hyporheic storage , 2009 .

[39]  Michael N. Gooseff,et al.  Comparing transient storage modeling and residence time distribution (RTD) analysis in geomorphically varied reaches in the Lookout Creek basin, Oregon, USA , 2003 .

[40]  M. Parlange,et al.  Fiber optics opens window on stream dynamics , 2006 .

[41]  R. Haggerty,et al.  Patterns in stream longitudinal profiles and implications for hyporheic exchange flow at the H.J. Andrews Experimental Forest, Oregon, USA , 2005 .

[42]  Michael N. Gooseff,et al.  A modelling study of hyporheic exchange pattern and the sequence, size, and spacing of stream bedforms in mountain stream networks, Oregon, USA , 2006 .

[43]  John S. Selker,et al.  A distributed stream temperature model using high resolution temperature observations , 2007 .

[44]  R. Haggerty,et al.  Influence of hyporheic flow and geomorphology on temperature of a large, gravel‐bed river, Clackamas River, Oregon, USA , 2008 .

[45]  Roy Haggerty,et al.  Power‐law residence time distribution in the hyporheic zone of a 2nd‐order mountain stream , 2002 .

[46]  S. Findlay Importance of surface‐subsurface exchange in stream ecosystems: The hyporheic zone , 1995 .

[47]  Keith Beven,et al.  Equifinality, data assimilation, and uncertainty estimation in mechanistic modelling of complex environmental systems using the GLUE methodology , 2001 .

[48]  George W. Brown,et al.  Predicting Temperatures of Small Streams , 1969 .