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Roughness of a subglacial conduit under Hansbreen, Svalbard

  • KENNETH D. MANKOFF (a1), JASON D. GULLEY (a2), SLAWEK M. TULACZYK (a3), MATTHEW D. COVINGTON (a4), XIAOFENG LIU (a5), YUNXIANG CHEN (a5), DOUGLAS I. BENN (a6) and PIOTR S. GŁOWACKI (a7)...
Abstract
ABSTRACT

Hydraulic roughness exerts an important but poorly understood control on water pressure in subglacial conduits. Where relative roughness values are <5%, hydraulic roughness can be related to relative roughness using empirically-derived equations such as the Colebrook–White equation. General relationships between hydraulic roughness and relative roughness do not exist for relative roughness >5%. Here we report the first quantitative assessment of roughness heights and hydraulic diameters in a subglacial conduit. We measured roughness heights in a 125 m long section of a subglacial conduit using structure-from-motion to produce a digital surface model, and hand-measurements of the b-axis of rocks. We found roughness heights from 0.07 to 0.22 m and cross-sectional areas of 1–2 m2, resulting in relative roughness of 3–12% and >5% for most locations. A simple geometric model of varying conduit diameter shows that when the conduit is small relative roughness is >30% and has large variability. Our results suggest that parameterizations of conduit hydraulic roughness in subglacial hydrological models will remain challenging until hydraulic diameters exceed roughness heights by a factor of 20, or the conduit radius is >1 m for the roughness elements observed here.

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Copyright
This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited.
Corresponding author
Correspondence: Ken Mankoff <mankoff@psu.edu>
References
Hide All
AberleJ and NikoraV (2006) Statistical properties of armored gravel bed surfaces. Water Resour. Res., 42(11) (doi: 10.1029/2005WR004674)
BanwellAF, MacAyealDR and SergienkoOV (2013) Break-up of the Larsen B ice shelf triggered by chain-reaction drainage of Supraglacial Lakes. Geophys. Res. Lett., 40(22), 58725876 (doi: 10.1002/2013GL057694)
BertinS and FreidrichH (2014) Measurement of gravel-bed topography: evaluation study applying statistical roughness analysis. J. Hydraulic Eng., 140(3), 269279 (doi: 10.1061/(ASCE)HY.1943-7900.0000823)
BindschadlerRA (1983) The importance of pressurized subglacial water in separation and sliding at the glacier bed. J. Glaciol., 29(101), 319
ChikitaKA, KaminagaR, KudoI, WadaT and KimY (2010) Parameters determining water temperature of a proglacial stream: the Phelan Creek and the Gulkana Glacier, Alaska. River Res. Appl., 26, 9951004
CovingtonMD, LuhmannAJ, GabrovšekF, SaarMO and WicksCM (2011) Mechanisms of heat exchange between water and rock in karst conduits. Water Resour. Res., 47(W10514) (doi: 10.1029/2011WR010683)
CrosbyC and 6 others (2011) Points2Grid: A Local Gridding Method for DEM Generation from Lidar Point Cloud Data. https://github.com/CRREL/points2grid [Software]
CuffeyKM and PatersonWSB (2010) The physics of glaciers, 4th edn. Academic Press
CurlRL (1974) Deducing flow velocity in cave conduits from scallops. Natl. Speleol. Soc. Bull., 36(2), 15, (Errata: ibid. Vol. 36, No. 3, p. 22)
FonstadMA, DietrichJT, CourvilleBC, JensenJL and CarbonneauPE (2013) Topographic structure from motion: a new development in photogrammetric measurement. Earth Surf. Process. Landforms, 38, 421430 (doi: 10.1002/esp.3366)
GulleyJD (2009) Structural control of englacial conduits in the temperate Matanuska Glacier, Alaska, USA. J. Glaciol., 55(192), 681690
GulleyJD and 5 others (2012) The effect of discrete recharge by moulins and heterogeneity in flow-path efficiency at glacier beds on subglacial hydrology. J. Glaciol., 58(211), 926940 (doi: 10.3189/2012JoG11J189)
GulleyJD and 5 others (2014) Large values of hydraulic roughness in subglacial conduits during conduit enlargement: implications for modeling conduit evolution. Earth Surf. Process. Landforms, 39(3), 296310 (doi: 10.1002/esp.3447)
HewittIJ (2011) Modelling distributed and channelized subglacial drainage: the spacing of channels. J. Glaciol., 57(202)
HodgeRA, BrasingtonJ and RichardsK (2009) Analysing laser-scanned digital terrain models of gravel bed surfaces: linking morphology to sediment transport processes and hydraulics. Sedimentology, 56(7), 20242043 (doi: 10.1111/j.1365-3091.2009.01068.x)
IsenkoE, NaruseR and MavlyudovB (2005) Water temperature in englacial and supraglacial channels: change along the flow and contribution to ice melting on the channel wall. Cold Reg. Sci. Technol., 42, 5362 (doi: 10.1016/j.coldregions.2004.12.003)
JamesMR and RobsonS (2012) Straightforward reconstruction of 3D surfaces and topography with a camera: accuracy and geoscience applications. J. Geophys. Res., 117(F03017) (doi: 10.1029/2011JF002289)
JarrettRD (1984) Hydraulics of high-gradient streams. J. Hydraulic Eng., 110(11), 15191539 (doi: 10.1061/(ASCE)0733-9429(1984)110:11(1519))
JezekKC, WuX, PadenJ and LeuschenC (2013) Radar mapping of Isunguata Sermia, Greenland. J. Glaciol., 59(218), 1135 (doi: 10.3189/2013JoG12J248)
KolmogorovAN (1991) The local structure of turbulence in incompressible viscous fluid for very large Reynolds numbers. Proc. Math. Phys. Sci., 434(1890), 913. www.jstor.org/stable/51980
LiestølO (1956) Glacier Dammed Lakes in Norway, vol. 81. Fabritius & Sønners Forlag, Oslo
LimerinosJ (1970) Determination of the manning coefficient from measured bed roughness in natural channels. United States Government Printing Office, geological survey water-supply paper 1898-b edition, Washington, DC
MankoffKD and RussoTA (2013) The Kinect: a low-cost, high-resolution, short-range, 3D camera. Earth Surf. Process. Landforms, 38(9), 926936 (doi: 10.1002/esp.3332)
MankoffKD and 5 others (2016) Structure and dynamics of a subglacial discharge plume in a Greenlandic fjord. J. Geophys. Res.: Oceans, 121 (doi: 10.1002/2016JC011764)
MoodyLF (1944) Friction factors for pipe flow. Trans. A.S.M.E., 66(8), 671684
MunsonBR, YoungDF, OkiishiTH and HeubschWW (2009) Fundamentals of fluid mechanics, 6th edn. John Wiley & Sons, Inc.
NienowPW, SharpM and WillisIC (1998) Seasonal changes in the morphology of the subglacial drainage system, Haut Glacier d'Arolla, Switzerland. Earth Surf. Process. Landforms, 23(9), 825843 (doi: 10.1002/(SICI)1096-9837(199809)23:9<825::AID-ESP893>3.0.CO;2-2)
NikoraVI and WalshJ (2004) Water-worked gravel surfaces: high-order structure functions at the particle scale. Water Resour. Res., 40(12) (doi: 10.1029/2004WR003346)
NikoraVI, GoringDG and BiggsBJF (1998) On gravel-bed roughness characterization. Water Resour. Res., 34(3), 517527 (doi: 10.1029/97WR02886)
NikuradseJ (1950) Laws of flow in rough pipes. Technical Memorandum 1292, National Advisory Committee for Aeronautics (NACA), translation of ‘Strömungsgesetze in rauhen Rohren.’ 1933
NyeJF (1976) Water flow in glaciers: jökulhlaups, tunnels and veins. J. Glaciol., 17(76), 181207
PerolT, RiceJR, PlattJD and SuckaleJ (2015) Subglacial hydrology and ice stream margin locations. J. Geophys. Res.: Earth Surf., 120(7), 13521368 (doi: 10.1002/2015JF003542)
PowellM (2014) Flow resistance in gravel-bed rivers: progress in research. Earth-Sci. Rev., 136, 301338 (doi: 10.1016/j.earscirev.2014.06.001)
RöthlisbergerH (1972) Water pressure in intra- and subglacial channels. J. Glaciol., 11(62), 177203
RusuRB and CousinsS (2011) 3D is here: Point Cloud Library (PCL). In IEEE International Conference on Robotics and Automation (ICRA), Shanghai, China
SchoofCG (2010) Ice-sheet acceleration driven by melt supply variability. Nature, 468(7325), 803806 (doi: 10.1038/nature09618)
ShreveRL (1972) Movement of water in glaciers. J. Glaciol., 11(62), 205214
SmartG, AberleJ, DuncanM and WalshJ (2004) Measurement and analysis of alluvial bed roughness/mesure et analyse de la rugosité de lit d'alluvion. J. Hydraulic Res., 42(3), 227237 (doi: 10.1080/00221686.2004.9641191)
SmartGM, DuncanMJ and WalshJM (2002) Relatively rough flow resistance equations. J. Hydraulic Eng., 128, 568578 (doi: 10.1061/(ASCE)0733-9429(2002)128:6(568))
SmithMW (2014) Roughness in the earth sciences. Earth-Sci. Rev., 136, 202225 (doi: 10.1016/j.earscirev.2014.05.016)
WestobyMJ, BrasingtonJ, GlasserNF, HambreyMJ and ReynoldsJM (2012) ‘Structure-from-Motion’ photogrammetry: a low-cost, effective tool for geoscience applications. Geomorphology, 179, 300314 (doi: 10.1016/j.geomorph.2012.08.021)
WhelanT and 5 others (2012) Kintinuous: spatially extended KinectFusion. In RSS Workshop on RGB-D: Advanced Reasoning with Depth Cameras, Sydney, Australia
WolmanMG (1954) A method of sampling coarse river-bed material. Trans. Am. Geophys. Union, 35(6), 951956
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