Measurement of Gravel-Bed Topography: Evaluation Study Applying Statistical Roughness Analysis
Publication: Journal of Hydraulic Engineering
Volume 140, Issue 3
Abstract
In this two-part study, experiments are conducted to evaluate available topography measurement techniques for gravel beds in a laboratory flume and to study their suitability for statistical roughness analysis. The available instruments for this study include (1) an acoustic bed profiler; (2) a hand-held laser scanner; and (3) two digital consumer cameras forming a stereophotogrammetric system, and are employed to obtain digital elevation models (DEMs) of water-worked gravel beds. In the first part of the study, the three measurement techniques are reviewed and their feasibilities for future grain-scale roughness work assessed, based on the obtained elevation datasets. Water-worked gravel-bed topographies are measured with all three available measurement techniques. The analysis of the DEMs concentrates on using probability distribution functions (PDFs) and second-order structure functions of bed elevations. Roughness coefficients are determined and used as a benchmark for comparison of the three measurement techniques. Although, visually, differences in the DEMs obtained with different measurement techniques are observed, the results of the chosen statistical analysis do not disclose the visual differences to the same extent. It is shown that the used stereophotogrammetric system, although theoretically allowing a fast and high-resolution recording process, lacks behind in accuracy. Thus, the second part of the study identifies and presents steps to improve the quality of the obtained stereophotogrammetric DEMs. A checklist is provided, highlighting the improvements made in the follow-up study, in order to obtain a high-quality stereophotogrammetric DEM. The overview will be useful for other researchers to make use of available low-cost and high-quality consumer camera equipment, to setup their own, non-proprietary stereophotogrammetric system.
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Acknowledgments
Photogrammetric application was conducted in collaboration with the Department of Computer Science, The University of Auckland. The authors would like to thank in particular Patrice Delmas, Alfonso Gastelum Strozzi, and Edwin Chan for their valuable input in obtaining the stereophotogrammetric data. Laser scanning was undertaken with the help of the Department of Mechanical Engineering, The University of Auckland. The authors would like to thank Katherine Heays, who introduced the first author to the lab environment. The Fluid Mechanics Laboratory technicians Geoff Kirby and Jim Luo helped in conducting the experiments. The comments of three anonymous reviewers and the associate editor helped to improve this paper.
References
Aberle, J., and Nikora, V. (2006). “Statistical properties of armored gravel bed surfaces.” Water Resour. Res., 42(11), W11414.
Aberle, J., Nikora, V., Henning, M., Ettmer, B., and Hentschel, B. (2010). “Statistical characterization of bed roughness due to bed forms: A field study in the Elbe River at Aken, Germany.” Water Resour. Res., 46(3), W03521.
Andreas, E. L., and Trevino, G. (1997). “Using wavelets to detect trends.” J. Atmos. Ocean. Tech., 14(3), 554–564.
Bouguet, J.-Y., and Perona, P. (1998). “Camera calibration from points and lines in dual-space geometry.” Technical report, California Institute of Technology, Pasadena, CA, 1–16.
Brasington, J., and Smart, R. M. A. (2003). “Close range digital photogrammetric analysis of experimental drainage basin evolution.” Earth Surf. Proc. Land., 28(3), 231–247.
Bunte, K., and Abt, S. R. (2001). “Sampling surface and subsurface particle-size distributions In wadable gravel- and cobble-bed streams for analyses in sediment transport, hydraulics, and streambed monitoring.”, U.S. Dept. of Agriculture, Forest Service, Rocky Mountain Research Station, Fort Collins, CO, 1–428.
Butler, J. B., Lane, S. N., and Chandler, J. H. (1998). “Assessment of DEM quality for characterizing surface roughness using close range digital photogrammetry.” Photogramm. Rec., 16(92), 271–291.
Butler, J. B., Lane, S. N., and Chandler, J. H. (2001). “Characterization of the structure of river-bed gravels using two-dimensional fractal analysis.” Math. Geol., 33(3), 301–330.
Butler, J. B., Lane, S. N., Chandler, J. H., and Porfiri, E. (2002). “Through-water close range digital photogrammetry in flume and field environments.” Photogramm. Rec., 17(99), 419–439.
Carbonneau, P. E., Lane, S. N., and Bergeron, N. E. (2003). “Cost-effective non-metric close-range digital photogrammetry and its application to a study of coarse gravel river beds.” Int. J. Remote Sens., 24(14), 2837–2854.
Chandler, J., Shiono, K., Rameshwaran, P., and Lane, S. (2001). “Measuring flume surfaces for hydraulics research using a Kodak DCS460.” Photogramm. Rec., 17(97), 39–61.
Chang, F. J., and Chung, C. H. (2012). “Estimation of riverbed grain-size distribution using image-processing techniques.” J. Hydrol., 440–441, 102–112.
Clifford, N., Robert, A., and Richards, K. (1992). “Estimation of flow resistance in gravel-bedded rivers a physical explanation of the multiplier of roughness length.” Earth Surf. Proc. Land., 17(2), 111–126.
Coleman, S. E. (1997). “Ultrasonic measurement of sediment bed profiles.” Proc., 27th Congress of the Int. Association for Hydraulic Research, San Francisco, CA, 221–226.
Cooper, J. R., and Tait, S. J. (2009). “Water-worked gravel beds in laboratory flumes—a natural analogue?” Earth Surf. Proc. Land., 34(3), 384–397.
de Jong, C. (1995). “Temporal and spatial interactions between river bed roughness, geometry, bedload transport and flow hydraulics in mountain streams—Examples from Squaw Creek (Montana, USA) and Lainbach/Schmiedlaine (Upper Bavaria, Germany).” Ph.D. thesis, Free Univeristy of Berlin, Berlin.
Detert, M., and Weitbrecht, V. (2012). “Automatic object detection to analyze the geometry of gravel grains.” Proc., River Flow 2012, Taylor & Francis Group, San Jose, Costa Rica, 595–600.
Fehr, R. (1987). “Geschiebeanalysen in Gebirgsfluessen; Umrechnung und Vergleich von verschiedenen Analyseverfahren.” Mitteilung Nr. 92 der Versuchsanstalt für Wasserbau, Hydrologie und Glaziologie, Eidgenoessischen Technischen Hochschule Zürich.
Friedrich, H. (2010). “Evaluation of statistical analysis techniques for developing bedforms recorded in 3D.” Ph.D. thesis, Univ. of Auckland, Auckland.
Gimel’farb, G. (2002). “Probabilistic regularisation and symmetry in binocular dynamic programming stereo.” Pattern Recogn. Lett., 23(4), 431–442.
Goring, D. G., Nikora, V. I., and McEwan, I. K. (1999). “Analysis of the texture of gravel-beds using 2-D structure functions.” Proc., I.A.H.R. Symp. on River, Coastal and Esturine Morphodynamics, Springer, Germany, 111–120.
Graham, D. J., Rollet, A. J., Piégay, H., and Rice, S. P. (2010). “Maximizing the accuracy of image-based surface sediment sampling techniques.” Water Resour. Res., 46(2), W02508.
Heritage, G., and Hetherington, D. (2007). “Towards a protocol for laser scanning in fluvial geomorphology.” Earth Surf. Proc. Land., 32(1), 66–74.
Hodge, R., Brasington, J., and Richards, K. (2009a). “In situ characterization of grain-scale fluvial morphology using Terrestrial Laser Scanning.” Earth Surf. Proc. Land., 34(7), 954–968.
Hodge, R., Brasington, J., and Richards, K. (2009b). “Analysing laser scanned digital terrain models of gravel bed surfaces: linking morphology to sediment transport processes and hydraulics.” Sedimentology, 56(7), 2024–2043.
Lane, S. N., Richards, K. S., and Chandler, J. H. (1994). “Developments in monitoring and modelling small-scale river bed topography.” Earth Surf. Proc. Land., 19(4), 349–368.
Nikora, V. I., Goring, D. G., and Biggs, B. J. F. (1998). “On gravel-bed roughness characterization.” Water Resour. Res., 34(3), 517–527.
Ockelford, A.-M., and Haynes, H. (2013). “The impact of stress history on bed structure.” Earth Surf. Proc. Land., 38(7), 717–727.
Rapp, C., Eder, K., and Stilla, U. (2012). “3D determination of the evolution of a scour hole by photogrammetric means.” Proc., River Flow 2012, Taylor & Francis Group, San Jose, Costa Rica, 943–950.
Robert, A. (1988). “Statistical properties of sediment bed profiles in alluvial channels.” Math. Geol., 20(3), 205–225.
Robert, A. (1990). “Boundary roughness in coarse-grained channels.” Prog. Phys. Geog., 14(1), 42–70.
Robert, A., and Richards, K. S. (1988). “On the modelling of sand bedforms using the semivariogram.” Earth Surf. Proc. Land., 13(5), 459–473.
Smart, G., Aberle, J., Duncan, M., and Walsh, J. (2004). “Measurement and analysis of alluvial bed roughness.” J. Hydraul. Res., 42(3), 227–237.
Strom, K. B., Kuhns, R. D., and Lucas, H. J. (2010). “Comparison of automated image-based grain sizing to standard pebble-count methods.” J. Hydraul. Eng., 461–473.
Westaway, R. M., Lane, S. N., and Hicks, D. M. (2000). “The development of an automated correction procedure for digital photogrammetry for the study of wide, shallow, gravel-bed rivers.” Earth Surf. Proc. Land., 25(2), 209–226.
Westaway, R. M., Lane, S. N., and Hicks, D. M. (2001). “Remote sensing of clear-water, shallow, gravel-bed rivers using digital photogrammetry.” Photogramm. Eng. Rem. S., 67(11), 1271–1281.
Wolman, M. G. (1954). “A method of sampling Coarse River-Bed material.” Transactions, American Geophysical Union, 35(6), 951–956.
Zhang, Z. (1998). “A flexible new technique for camera calibration.” IEEE T. Pattern Anal., 22(11), 1330–1334.
Information & Authors
Information
Published In
Journal of Hydraulic Engineering
Volume 140 • Issue 3 • March 2014
Pages: 269 - 279
Copyright
© 2013 American Society of Civil Engineers.
History
Received: Jul 16, 2012
Accepted: Sep 5, 2013
Published online: Sep 7, 2013
Discussion open until: Feb 7, 2014
Published in print: Mar 1, 2014
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