Abstract

Reconstruction of complex braided river bathymetry is important for supporting hydrodynamic simulation and understanding river morphological processes. To our knowledge, existing methods generate and interpolate channel-fitted coordinate lines using the measured cross-sectional data to reconstruct river bathymetry. Nevertheless, in these methods, the generation of channel-fitted lines obeys the law of splines or a set of equations without considering the laws of river dynamics. Moreover, it is difficult to interpolate bathymetry using the channel-fitted lines when dealing with complex braided rivers. This paper introduced a novel method to fill the gap. Briefly, in the introduced method, an initial bathymetry is interpolated and a velocity field is calculated using a set of simplified two-dimensional (2D) shallow-water equations. Then, streamlines are generated using the velocity field data, and the elevations of the nodes on the streamlines are interpolated using the measured cross-sectional data. Finally, the bathymetry of the domain is interpolated using the streamlines and the measured elevation points or contour lines at the sandbars and floodplains. For demonstration purpose, the introduced method was applied to a 20-km section in the middle reaches of the Yellow River (China) with many branches and sandbars. The reconstructed bathymetry of the domain was investigated in terms of their geometrical shape and hydrodynamic performance (including inundation area and water level). When compared with the measured water level, the hydrodynamic results of the reconstructed bathymetry showed acceptable accuracy. In addition, because the channel-fitted method is widely applied to interpolate the river bathymetry, we compare the channel-fitted method with the introduced method in discussion section.

Get full access to this article

View all available purchase options and get full access to this article.

Data Availability Statement

Some data regarding water edge and velocity field are available at https://github.com/lairuixun/generating_streamlines. A Fortran code, which generates streamlines based on velocity field, streamline function, and numerically solved by Runge–Kutta method, was made available. The nodes of streamlines were transformed into shapefile data format for interpolation.

Acknowledgments

This work was partially funded and supported by the National Natural Science Foundation of China (Grant Nos. 51809108 and 51679102) and Special Foundation for Public-interest Institutes of China (HKY-JBYW-2020-01).

References

Beffa, C., and R. J. Connell. 2001. “Two-dimensional flood plain flow. I: Model description.” J. Hydrol. Eng. 6 (5): 397–405. https://doi.org/10.1061/(ASCE)1084-0699(2001)6:5(397).
Blazek, J. 2015. Computational fluid dynamics: Principles and applications. Oxford, UK: Butterworth-Heinemann.
Campbell, J. B., and R. H. Wynne. 2011. Introduction to remote sensing. New York: Guilford Press.
Cao, B., Y. Fang, Z. Jiang, L. Gao, and H. Hu. 2019. “Shallow water bathymetry from WorldView-2 stereo imagery using two-media photogrammetry.” Eur. J. Remote Sens. 52 (1): 506–521. https://doi.org/10.1080/22797254.2019.1658542.
Cao, Z., C. Xia, G. Pender, and Q. Liu. 2017. “Shallow water hydro-sediment-morphodynamic equations for fluvial processes.” J. Hydraul. Eng. 143 (5): 02517001. https://doi.org/10.1061/(ASCE)HY.1943-7900.0001281.
Caviedes-Voullième, D., M. Morales-Hernández, I. López-Marijuan, and P. García-Navarro. 2014. “Reconstruction of 2D river beds by appropriate interpolation of 1D cross-sectional information for flood simulation.” Environ. Modell. Software 61 (Nov): 206–228. https://doi.org/10.1016/j.envsoft.2014.07.016.
Cebeci, T., J. P. Shao, F. Kafyeke, and E. Laurendeau. 2005. Computational fluid dynamics for engineers: From panel to Navier-Stokes methods with computer programs. New York: Springer.
Çengel, Y. A., and J. M. Cimbala. 2018. Fluid mechanics: Fundamentals and applications. New York: McGraw-Hill.
Chastain, R., I. Housman, J. Goldstein, M. Finco, and K. Tenneson. 2019. “Empirical cross sensor comparison of Sentinel-2A and 2B MSI, Landsat-8 OLI, and Landsat-7 ETM+ top of atmosphere spectral characteristics over the conterminous United States.” Remote Sens. Environ. 221 (Feb): 274–285. https://doi.org/10.1016/j.rse.2018.11.012.
Chaudhry, M. H. 2008. Open-channel flow. New York: Springer.
Choi, S.-U., S. Jung, and S. K. Kim. 2015. “A quasi-2D and quasi-steady hydraulic model for physical habitat simulations: Physical habitat modeling using quasi-2D hydraulic computations.” Ecohydrology 8 (2): 263–272. https://doi.org/10.1002/eco.1504.
Colbo, K., T. Ross, C. Brown, and T. Weber. 2014. “A review of oceanographic applications of water column data from multibeam echosounders.” Estuarine Coastal Shelf Sci. 145 (May): 41–56. https://doi.org/10.1016/j.ecss.2014.04.002.
Costa, B. M., T. A. Battista, and S. J. Pittman. 2009. “Comparative evaluation of airborne LiDAR and ship-based multibeam SoNAR bathymetry and intensity for mapping coral reef ecosystems.” Remote Sens. Environ. 113 (5): 1082–1100. https://doi.org/10.1016/j.rse.2009.01.015.
Costabile, P., C. Costanzo, and F. Macchione. 2017. “Performances and limitations of the diffusive approximation of the 2D shallow water equations for flood simulation in urban and rural areas.” Appl. Numer. Math. 116 (Jun): 141–156. https://doi.org/10.1016/j.apnum.2016.07.003.
Dalena, S., P. Chuychai, R. L. Mace, A. Greco, G. Qin, and W. H. Matthaeus. 2012. “Streamline generation code for particle dynamics description in numerical models of turbulence.” Comput. Phys. Commun. 183 (9): 1974–1985. https://doi.org/10.1016/j.cpc.2012.04.022.
de Boor, C. 2001. “A practical guide to splines.” In Applied mathematical sciences, edited by J. E. Marsden and L. Sirovich, 27. New York: Springer.
El-Sheimy, N., C. Valeo, and A. Habib. 2005. Digital terrain modeling: Acquisition, manipulation, and applications. Boston: Artech House Remote Sensing Library, Artech House.
Fennema, R. J., and M. H. Chaudhry. 1990. “Explicit methods for 2D transient free surface flows.” J. Hydraul. Eng. 116 (8): 1013–1034. https://doi.org/10.1061/(ASCE)0733-9429(1990)116:8(1013).
Garde, R. J. 2006. River morphology. New Delhi, India: New Age International.
Glaister, P. 1990. “Approximate Riemann solutions of the two-dimensional shallow-water equations.” J. Eng. Math. 24 (1): 45–53. https://doi.org/10.1007/BF00128845.
Glenn, J., D. Tonina, M. D. Morehead, F. Fiedler, and R. Benjankar. 2016. “Effect of transect location, transect spacing and interpolation methods on river bathymetry accuracy: River bathymetry.” Earth Surf. Processes Landforms 41 (9): 1185–1198. https://doi.org/10.1002/esp.3891.
Granger, R. A. 1995. “Fluid mechanics.” In Dover classics of science and mathematics. New York: Dover Publications.
Guinot, V., B. F. Sanders, and J. E. Schubert. 2017. “Dual integral porosity shallow water model for urban flood modelling.” Adv. Water Resour. 103 (May): 16–31. https://doi.org/10.1016/j.advwatres.2017.02.009.
He, Z., W. Wu, and F. Douglas Shields. 2009. “Numerical analysis of effects of large wood structures on channel morphology and fish habitat suitability in a southern US sandy creek.” Ecohydrology 2 (3): 370–380. https://doi.org/10.1002/eco.60.
Hilton, J. E., S. Grimaldi, R. C. Z. Cohen, N. Garg, Y. Li, S. Marvanek, V. R. N. Pauwels, and J. P. Walker. 2019. “River reconstruction using a conformal mapping method.” Environ. Modell. Software 119 (Sep): 197–213. https://doi.org/10.1016/j.envsoft.2019.06.006.
Javernick, L., D. M. Hicks, R. Measures, B. Caruso, and J. Brasington. 2016. “Numerical modelling of braided rivers with structure-from-motion-derived terrain models: Modelling braided rivers.” River Res. Appl. 32 (5): 1071–1081. https://doi.org/10.1002/rra.2918.
Karmaker, T., and S. Dutta. 2016. “Prediction of short-term morphological change in large braided river using 2D numerical model.” J. Hydraul. Eng. 142 (10): 04016039. https://doi.org/10.1061/(ASCE)HY.1943-7900.0001167.
Katopodes, N. D. 2018. “Shallow-water dynamics.” In Free-surface flow. Oxford, UK: Butterworth-Heinemann.
Kuiry, S. N., K. Pramanik, and D. Sen. 2008. “Finite volume model for shallow water equations with improved treatment of source terms.” J. Hydraul. Eng. 134 (2): 231–242. https://doi.org/10.1061/(ASCE)0733-9429(2008)134:2(231).
Kundu, P. K., I. M. Cohen, D. R. Dowling, and G. Tryggvason. 2016. Fluid mechanics. Boston: Elsevier.
Lai, R., M. Wang, M. Yang, and C. Zhang. 2018. “Method based on the Laplace equations to reconstruct the river terrain for two-dimensional hydrodynamic numerical modeling.” Comput. Geosci. 111 (Feb): 26–38. https://doi.org/10.1016/j.cageo.2017.10.006.
Larsen, R. J., F. C. K. Ting, and A. L. Jones. 2011. “Flow velocity and pier scour prediction in a compound channel: Big Sioux river bridge at Flandreau, South Dakota.” J. Hydraul. Eng. 137 (5): 595–605. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000334.
Le, T. B., A. Crosato, and A. M. Arboleda. 2020. “Revisiting waal river training by historical reconstruction.” J. Hydraul. Eng. 146 (5): 05020002. https://doi.org/10.1061/(ASCE)HY.1943-7900.0001688.
Lefer, W., and M. Grave. 2013. Visualization in scientific computing ’97: Proceedings of the Eurographics Workshop in Boulogne-sur-Mer, France, April 28-30, 1997. New York: Springer.
Legleiter, C. J., and L. R. Harrison. 2019. “Remote sensing of river bathymetry: Evaluating a range of sensors, platforms, and algorithms on the Upper Sacramento river, California, USA.” Water Resour. Res. 55 (3): 2142–2169. https://doi.org/10.1029/2018WR023586.
Legleiter, C. J., P. J. Kinzel, and B. T. Overstreet. 2011a. “Evaluating the potential for remote bathymetric mapping of a turbid, sand-bed river. 1: Field spectroscopy and radiative transfer modeling.” Water Resour. Res. 47 (9): W09531. https://doi.org/10.1029/2011WR010591.
Legleiter, C. J., P. J. Kinzel, and B. T. Overstreet. 2011b. “Evaluating the potential for remote bathymetric mapping of a turbid, sand-bed river. 2: Application to hyperspectral image data from the Platte river: Remote bathymetric mapping, 2.” Water Resour. Res. 47 (9): W09532. https://doi.org/10.1029/2011WR010592.
Legleiter, C. J., P. C. Kyriakidis, R. R. McDonald, and J. M. Nelson. 2011c. “Effects of uncertain topographic input data on two-dimensional flow modeling in a gravel-bed river: Effects of uncertain topographic input data.” Water Resour. Res. 47 (3): W03518. https://doi.org/10.1029/2010WR009618.
Leopold, L. B., and M. G. Wolman. 1957. River channel patterns: Braided, meandering and straight, 85. Reston, VA: USGS.
Li, G. 2009. Questions and answers about the Yellow river. Zhengzhou, China: Yellow River Conservancy Press.
Liseĭkin, V. D. 2010. “Grid generation.” In Methods: Scientific computation. Dordrecht, Netherlands: Springer.
Mangelsdorf, J., K. Scheurmann, and F.-H. Weiss. 1990. “River morphology: A guide for geoscientists and engineers.” In Springer series in physical environment. New York: Springer.
McKean, J., D. Nagel, D. Tonina, P. Bailey, C. W. Wright, C. Bohn, and A. Nayegandhi. 2009. “Remote sensing of channels and riparian zones with a narrow-beam aquatic-terrestrial LIDAR.” Remote Sens. 1 (4): 1065–1096. https://doi.org/10.3390/rs1041065.
McKean, J., D. Tonina, C. Bohn, and C. W. Wright. 2014. “Effects of bathymetric lidar errors on flow properties predicted with a multi-dimensional hydraulic model: Lidar bathymetry and hydraulic models.” J. Geophys. Res. Earth Surf. 119 (3): 644–664. https://doi.org/10.1002/2013JF002897.
Merwade, V. 2009. “Effect of spatial trends on interpolation of river bathymetry.” J. Hydrol. 371 (1–4): 169–181. https://doi.org/10.1016/j.jhydrol.2009.03.026.
Merwade, V., A. Cook, and J. Coonrod. 2008. “GIS techniques for creating river terrain models for hydrodynamic modeling and flood inundation mapping.” Environ. Modell. Software 23 (10–11): 1300–1311. https://doi.org/10.1016/j.envsoft.2008.03.005.
Merwade, V. M., D. R. Maidment, and B. R. Hodges. 2005. “Geospatial representation of river channels.” J. Hydrol. Eng. 10 (3): 243–251. https://doi.org/10.1061/(ASCE)1084-0699(2005)10:3(243).
Nittrouer, J. A., M. A. Allison, and R. Campanella. 2008. “Bedform transport rates for the lowermost Mississippi River.” J. Geophys. Res. 113 (3): F03004. https://doi.org/10.1029/2007JF000795.
Pender, G., and S. Ne’elz. 2010. “Flood inundation modelling to support flood risk management.” In Flood risk science and management, edited by G. Pender and H. Faulkner, 234–257. Oxford, UK: Wiley-Blackwell.
Qin, X., X. Fang, L. Chen, H. Zheng, J. Ma, and M. Zhang. 2019. “A line integral convolution method with dynamically determining step size and interpolation mode for vector field visualization.” IEEE Access 7: 19414–19422. https://doi.org/10.1109/ACCESS.2019.2895857.
Roe, P. L. 1997. “Approximate riemann solvers, parameter vectors, and difference schemes.” J. Comput. Phys. 135 (2): 250–258. https://doi.org/10.1006/jcph.1997.5705.
Schäppi, B., P. Perona, P. Schneider, and P. Burlando. 2010. “Integrating river cross section measurements with digital terrain models for improved flow modelling applications.” Comput. Geosci. 36 (6): 707–716. https://doi.org/10.1016/j.cageo.2009.12.004.
Thanh, V. Q., D. Roelvink, M. van der Wegen, L. X. Tu, J. Reyns, and V. T. P. Linh. 2020. “Spatial topographic interpolation for meandering channels.” J. Waterway, Port, Coastal, Ocean Eng. 146 (5): 04020024. https://doi.org/10.1061/(ASCE)WW.1943-5460.0000582.
Thompson, J. F., Z. U. A. Warsi, and C. W. Mastin. 1985. Numerical grid generation: Foundations and applications. New York: Elsevier.
Ueng, S. K., K. Sikorski, and Kwan-Liu. Ma. 1995. Fast algorithms for visualizing fluid motion in steady flow on unstructured grids. Washington, DC: NASA Langley Research Center.
Valiani, A., and L. Begnudelli. 2006. “Divergence form for bed slope source term in shallow water equations.” J. Hydraul. Eng. 132 (7): 652–665. https://doi.org/10.1061/(ASCE)0733-9429(2006)132:7(652).
Vanzo, D., A. Siviglia, and E. F. Toro. 2016. “Pollutant transport by shallow water equations on unstructured meshes: Hyperbolization of the model and numerical solution via a novel flux splitting scheme.” J. Comput. Phys. 321 (Sep): 1–20. https://doi.org/10.1016/j.jcp.2016.05.023.
Vreugdenhil, C. B. 1994. “Numerical methods for shallow-water flow.” In Water science and technology library. Boston: Kluwer Academic Publishers.
Wang, Z., J. Xia, M. Zhou, S. Deng, and T. Li. 2020. “Modelling hyperconcentrated floods in the Middle Yellow river using an improved river network model.” CATENA 190 (Jul): 104544. https://doi.org/10.1016/j.catena.2020.104544.
Wheaton, J. M., J. Brasington, S. E. Darby, and D. A. Sear. 2009. “Accounting for uncertainty in DEMs from repeat topographic surveys: Improved sediment budgets.” Earth Surf. Processes Landforms 35 (2): 136–156. https://doi.org/10.1002/esp.1886.
Williams, R. D., C. D. Rennie, J. Brasington, D. M. Hicks, and D. Vericat. 2015. “Linking the spatial distribution of bed load transport to morphological change during high-flow events in a shallow braided river: Spatially distributed bedload transport.” J. Geophys. Res. Earth Surf. 120 (3): 604–622. https://doi.org/10.1002/2014JF003346.
Ye, X., D. Kao, and A. Pang. 2005. “Strategy for seeding 3D streamlines.” In Proc., VIS 05. IEEE Visualization, 2005, 471–478. Minneapolis: IEEE. https://doi.org/10.1109/VISUAL.2005.1532831.
Zheng, S., B. Wu, C. R. Thorne, and G. Tan. 2015. “Case study of variation of sedimentation in the Yellow and Wei rivers.” J. Hydraul. Eng. 141 (3): 05014009. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000980.
Zhi, H., J. Siwabessy, S. L. Nichol, and B. P. Brooke. 2014. “Predictive mapping of seabed substrata using high-resolution multibeam sonar data: A case study from a shelf with complex geomorphology.” Mar. Geol. 357 (Nov): 37–52. https://doi.org/10.1016/j.margeo.2014.07.012.

Information & Authors

Information

Published In

Go to Journal of Hydrologic Engineering
Journal of Hydrologic Engineering
Volume 26Issue 5May 2021

History

Received: Apr 14, 2020
Accepted: Dec 28, 2020
Published online: Feb 19, 2021
Published in print: May 1, 2021
Discussion open until: Jul 19, 2021

Permissions

Request permissions for this article.

ASCE Technical Topics:

Authors

Affiliations

Senior Engineer, Dept. of Sedimentation Research, Yellow River Institute of Hydraulic Research, Zhengzhou 450003, China (corresponding author). ORCID: https://orcid.org/0000-0001-6128-624X. Email: [email protected]
Senior Engineer, Dept. of Information Center, Yellow River Institute of Hydraulic Research, Zhengzhou 450003, China. Email: [email protected]
Xiaoli Zhang [email protected]
Senior Engineer, Dept. of Sedimentation Research, Yellow River Institute of Hydraulic Research, Zhengzhou 450003, China. Email: [email protected]
Libing Huang, Ph.D. [email protected]
Senior Engineer, Dept. of Sedimentation Research, Yellow River Institute of Hydraulic Research, Zhengzhou 450003, China. Email: [email protected]
Fangxiu Zhang [email protected]
Senior Engineer, Dept. of Sedimentation Research, Yellow River Institute of Hydraulic Research, Zhengzhou 450003, China. Email: [email protected]
Ming Yang, Ph.D. [email protected]
Senior Engineer, Dept. of Sedimentation Research, Yellow River Institute of Hydraulic Research, Zhengzhou 450003, China. Email: [email protected]
Senior Engineer, Dept. of Sedimentation Research, Yellow River Institute of Hydraulic Research, Zhengzhou 450003, China. Email: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share