Technical Papers
Jun 11, 2015

Reservoir Turbidity Current Modeling with a Two-Dimensional Layer-Averaged Model

Publication: Journal of Hydraulic Engineering
Volume 141, Issue 12

Abstract

A two-dimensional layer-averaged model is developed and verified to simulate turbidity current characteristics and its sluicing in reservoirs. The governing equations consist of mass and momentum conservation laws for the turbidity current mixture, equations for the sediment transport and bed dynamics, and auxiliary relations for the interactions among clear water, turbidity current, and bed. A finite-volume, unstructured, polygonal mesh method is adopted so that reservoirs with complex terrains may be simulated. Special algorithms are developed to capture the turbidity current front movement through a clear water bed and to simulate turbidity current sluicing through reservoir outlets. The developed model has been tested and verified with both conservative and nonconservative turbidity currents ranging from simple to complex reservoir terrains. Case studies presented include a lock-exchange turbidity current with large eddy simulation and direct numerical simulation results, a laboratory test of turbidity currents, and a physical model of turbidity currents at Shihmen Reservoir in Taiwan. Comparisons of model results with available data show that the developed model, with appropriate calibration, reasonably predicts the turbidity current movement through reservoirs, the resultant sediment deposition along the reservoir bottom, and sediment sluicing through bottom outlets. The study also points to the need for future model improvements.

Get full access to this article

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

Acknowledgments

The present work was funded by the Water Resources Agency of Taiwan through a collaborative agreement. The project liaison officer, Director Hung-Kwai Chen, and the project review committee in Taiwan have provided valuable technical comments. Peer review provided by Jennifer Bountry and Paula Makar at the U.S. Bureau of Reclamation and the comments by the anonymous reviewers and the Chief and Associate Editors are greatly appreciated.

References

Adduce, C., Sciortino, G., and Proietti, S. (2012). “Gravity currents produced by lock-exchanges: Experiments and simulations with a two layer shallow-water model with entrainment.” J. Hydraul. Eng., 111–121.
Akiyama, J., and Stefan, H. G. (1985). “Turbidity current with erosion and deposition.” J. Hydraul. Eng., 1473–1496.
Alavian, V., Jirka, G. H., Denton, R. A., Johnson, M. C., and Stefan, H. G. (1992). “Turbidity currents entering lakes and reservoirs.” J. Hydraul. Eng., 1464–1489.
Altinakar, S., Graf, W. H., and Hopfinger, E. J. (1990). “Weakly depositing turbidity current on a small slope.” J. Hydraul. Res., 28(1), 55–80.
BOR (Bureau of Reclamation). (1954). “Some hydraulic engineering aspects of density currents.”, Denver.
Bournet, P. E., Dartus, D., Tassin, B., and Vincon-Leite, B. (1999). “Numerical investigation of plunging density current.” J. Hydraul. Eng., 584–594.
Bradford, S. F. (1996). “Numerical simulation of a turbidity current hydrodynamics and sedimentation.” Ph.D. thesis, Univ. of Michigan, Ann Arbor, MI.
Bradford, S. F., and Katopodes, N. D. (1999). “Hydrodynamics of turbidity underflows. I: Formulation and numerical analysis.” J. Hydraul. Eng., 1006–1015.
Buckee, C., Kneller, B., and Peakall, J. (2001). “Turbulence structure in steady, solute-driven gravity currents.” Particulate gravity currents, W. McCaffrey, B. Kneller, and J. Peakall, eds., Blackwell Publishing, Oxford, U.K.
Cenedese, C., and Adduce, C. (2008). “Mixing in a density-driven current flowing down a slope in a rotating fluid.” J. Fluid Mech., 604, 369–388.
Cenedese, C., and Adduce, C. (2010). “A new entrainment parameterization for mixing in overflows.” J. Phys. Oceanogr., 40(8), 1835–1850.
Chikita, K. (1990). “Sedimentation by river induced turbidity currents: Field measurements and interpretation.” J. Sedimentology, 37(5), 891–905.
Choi, S.-U. (1998). “Layer-averaged modeling of turbidity currents with a dissipative-Galerkin finite element method. Part I: Formulation and application example.” J. Hydraulic Res., 36(3), 339–362.
Choi, S.-U., and Garcia, M. (1995). “Modeling of one-dimensional turbidity currents with a dissipative-Galerkin finite element method.” J. Hydraul. Res., 33(5), 623–648.
Ellison, T. H., and Turner, J. S. (1959). “Turbulence entrainment in stratified flows.” J. Fluid Mech., 6(03), 423–448.
Engelund, F., and Hansen, E. (1972). A monograph on sediment transport in alluvial streams, Teknish Forlag, Technical Press, Copenhagen, Denmark.
Fietz, T. R., and Wood, I. R. (1967). “Three-dimensional density current.” J. Hydraul. Div., 1–24.
Ford, D., and Johnson, M. (1983). “An assessment of reservoir density currents and inflow processes.”, U.S. Army Engineer Waterways Experiment Station, Vicksburg, MS.
Fukushima, Y., Parker, G., and Pantin, H. M. (1985). “Prediction of ignitive turbidity currents in Scripps submarine canyon.” Mar. Geol., 67(1–2), 55–81.
Garcia, M. H. (1993). “Hydraulic jumps in sediment-driven bottom currents.” J. Hydraul. Eng., 1094–1117.
Garcia, M. H. (1994). “Depositional turbidity currents laden with poorly sorted sediment.” J. Hydraul. Eng., 1240–1263.
Georgoulas, A. N., Angelidis, P. B., Panagiotidis, T. G., and Kotsovinos, N. E. (2010). “3D numerical modelling of turbidity currents.” Environ. Fluid Mech., 10(6), 603–635.
Groenenberg, R. (2007). “Process-based modeling of turbidity current hydrodynamics and sedimentation.” Ph.D. thesis, Civil Engineering and Geotechnology, Delft Univ. of Technology, Delft, The Netherlands.
Groenenberg, R., Sloff, K., and Weltje, G. J. (2009). “A high-resolution 2-DH numerical scheme for process-based modeling of 3-D turbidite fan stratigraphy.” Comput. Geosci., 35(8), 1686–1700.
Huang, H., Imran, J., and Pirmez, C. (2008). “Numerical study of turbidity currents with sudden-release and sustained-inflow mechanisms.” J. Hydraul. Eng., 1199–1209.
Huppert, H. E. (2006). “Gravity currents: A personal perspective.” J. Fluid Mech., 554(-1), 299–322.
Huppert, H. E., and Simpson, J. E. (1980). “The slumping of gravity currents.” J. Fluid Mech., 99(04), 785–799.
Imberger, J., Loh, I., Hebbert, B., and Patterson, J. (1978). “Dynamics of reservoir of medium size.” J. Hydraul. Div., 104(5), 725–743.
Imran, J., Parker, G., and Katopodes, N. D. (1998). “A numerical model of channel inception on submarine fans.” J. Geophys. Res., 103(C1), 1219–1238.
Karpik, S. R., and Raithby, G. D. (1990). “Laterally averaged hydrodynamics model for reservoir predictions.” J. Hydraul. Eng., 783–798.
Kneller, B. C., and McCaffrey, W. D. (1999). “Depositional effects of flow nonuniformity and stratification within turbidity currents approaching a bounding slope; deflection, reflection, and facies variation.” J. Sediment. Res., 69(5), 980–991.
Kuenen, P. H., and Migliorini, C. I. (1950). “Turbidity currents as a cause of graded bedding.” J. Geol., 58(2), 91–127.
Lai, Y. G. (2010). “Two-dimensional depth-averaged flow modeling with an unstructured hybrid mesh.” J. Hydraul. Eng., 12–23.
Lai, Y. G., and Greimann, B. P. (2010). “Predicting contraction scour with a two-dimensional depth averaged model.” J. Hydraul. Res., 48(3), 383–387.
Lai, Y. G., Greimann, B. P., and Wu, K. (2011). “Soft bedrock erosion modeling with a two-dimensional depth-averaged model.” J. Hydraul. Eng., 804–814.
Lai, Y. G., and Huang, J. V. (2012). “A two-dimensional layer-averaged turbidity current model.”, Technical Service Center, Bureau of Reclamation, Denver.
Lai, Y. G., Huang, V. J, and Wu, K. (2013). “Simulating turbidity current in reservoirs with a layer-averaged 2D model.” Advances in river sediment research, S. Fukuoka, et al., eds., Taylor & Francis Group, London.
Lai, Y. G., So, R. M. C., and Przekwas, A. J. (1995). “Turbulent transonic flow simulation using a pressure-based method.” Int. J. Eng. Sci., 33(4), 469–483.
Lai, Y. G., Weber, L. J., and Patel, V. C. (2003). “Non-hydrostatic three-dimensional method for hydraulic flow simulation—Part I: Formulation and verification.” J. Hydraul. Eng., 196–205.
Lai, Y. G., and Wu, K. (2013). “Modeling of turbidity current and evaluation of diversion plans at shihmen reservoir in Taiwan.” World Environmental and Water Resources Congress, ASCE, Reston, VA, 1736–1746.
Lambert, A. M., Kelts, K. R., and Marshall, N. F. (1976). “Measurements of density underflows from Walensee Switzerland.” J. Sedimentology, 23(1), 87–105.
La Rocca, M., Adduce, C., Lombardi, V., Sciortino, G., and Hinkermann, R. (2012a). “Development of a lattice Boltzmann method for two-layered shallow-water flow.” Int. J. Numer. Methods Fluids, 70(8), 1048–1072.
La Rocca, M., Adduce, C., Sciortino, G., and Bateman Pinzon, A. (2008). “Experimental and numerical simulation of three-dimensional gravity currents on smooth and rough bed.” Phys. Fluids, 20(10), 106603.
La Rocca, M., Adduce, C., Sciortino, G., Bateman Pinzon, A., and Boniforti, M. A. (2012b). “A two-layer shallow water model for 3D gravity currents.” J. Hydraul. Res., 50(2), 208–217.
La Rocca, M., Prestininzi, P., Adduce, C., Sciortino, G., and Hinkelmann, R. (2013). “Lattice Boltzmann simulation of 3D gravity currents around obstacles.” Int. J. Offshore Polar Eng., 23(3), 178–185.
Luthi, S. M. (1981a). “Experiments on non-channelized turbidity currents and their deposits.” Mar. Geol., 40(3–4), M59–M68.
Luthi, S. M. (1981b). “Some new aspects of two-dimensional turbidity currents.” Sedimentology, 28(1), 97–105.
Mahdinia, M., Firoozabadi, B., Farshchi, M., Varnamkhasti, A. G., and Afshin, H. (2010). “Large eddy simulation of lock-exchange flow in a curved channel.” J. Hydraul. Eng., 57–70.
Marino, B. M., Thomas, L. P., and Linden, P. F. (2005). “The front condition for gravity currents.” J. Fluid Mech., 536, 49–78.
Middleton, G. V. (1966). “Experiments on density and turbidity currents: I. Motion of the head.” Can J. Earth Sci., 3(4), 523–546.
Middleton, G. V. (1993). “Sediment deposition from turbidity currents.” Annu. Rev. Earth Planet. Sci., 21, 89–114.
Necker, F., Hartel, C., Kleiser, L., and Meiburg, E. (2002). “High-resolution simulations of particle-driven gravity currents.” Int. J. Multiphase Flow., 28(2), 279–300.
Nogueira, H. I. S., Adduce, C., Alves, E., and Franca, M. J. (2014). “Dynamics of the head of gravity currents.” Environ. Fluid Mech., 14(2), 519–540.
Oehy, C. D., and Schleiss, A. J. (2007). “Control of turbidity currents in reservoirs by solid and permeable obstacles.” J. Hydraul. Eng., 637–648.
Ooi, S. K, Constantinescu, G., and Weber, L. J. (2009). “Numerical simulations of lock-exchange compositional gravity current.” J. Fluid Mech., 635, 361–388.
Paik, J., Eghbalzadeh, A., and Sotiropoulos, F. (2009). “Three-dimensional unsteady RANS modeling of discontinuous gravity currents in rectangular domains.” J. Hydraul. Eng., 505–521.
Parker, G., Fukushima, Y., and Pantin, H. M. (1986). “Self-accelerating turbidity currents.” J. Fluid Mech., 171(-1), 145–181.
Parker, G., Garcia, M. H., Fukushima, Y., and Yu, W. (1987). “Experiments on turbidity currents over an erodible bed.” J. Hydraul. Res., 25(1), 123–147.
Patankar, S. V. (1980). Numerical heat transfer and fluid flow, McGraw-Hill, New York.
Patterson, M. D., Simpson, J. E., Dalziel, S. B., Nikiforakis, N. (2005). “Numerical modeling of two-dimensional and axisymmetric gravity currents.” Int. J. Numer. Methods Fluids, 47(10–11), 1221–1227.
Paull, C. K., Ussler, W., III, Greene, H. G., Keaton, R., Mitts, P., and Barry, J. (2002). “Caught in the act: The 20 December 2001 gravity flow event in Monterey Canyon.” Geo-Mar. Lett., 22(4), 227–232.
Perez, S. (2010). “CFD modeling of turbidity current deposition.” J. Mar. Sci. Appl., 9(1), 42–47.
Pratson, L., Imran, J., Hutton, E., Parker, G., and Syvitski, J. P. (2001). “BANG1D: A one-dimensional, Lagrangian model of turbidity current mechanics.” Comput. Geosci., 27(6), 701–716.
Radhakrishnan, S., Nasr-Azadani, M., and Meiburg, E. (2012). “High-resolution LES simulation of turbulent gravity and turbidity currents over complex topography.” 3rd Int. Symp. on Shallow Flows, Univ. of Iowa College of Engineering, IA.
Rhie, C. M., and Chow, W. L. (1983). “Numerical study of the turbulent flow past an airfoil with trailing edge separation.” AIAA J., 21(11), 1525–1532.
Rodi, W. (1993). Turbulence models and their application in hydraulics, 3rd Ed., IAHR Monograph, Balkema, Rotterdam, The Netherlands.
Sequeiros, O. E., Naruse, H., Endo, N., Garcia, M. H., and Parker, G. (2009). “Experimental study on self-accelerating turbidity currents.” J. Geophys. Res., 114(C5), C05025.
Simões, F. J. M. (1999). “User’s Manual for DCURL—A model for routing density currents in reservoirs and lakes.” Technical Service Center, Bureau of Reclamation, Denver.
Toniolo, H., Parker, G., and Voller, V. (2007). “Role of ponded turbidity currents in reservoir trap efficiency.” J. Hydraul. Eng., 579–595.
Wells, S. A., and Gordon, J. A. (1980). “A three-dimensional field evaluation and analysis of water quality—Implications of the third dimension.” Proc., Symp. on Surface Water Impoundments, A. G. Stefan, ed., ASCE, Reston, VA, 644–653.
Wright, S., and Parker, G. (2004). “Flow resistance and suspended load in sand-bed rivers: Simplified stratification model.” J. Hydraul. Eng., 796–805.
WRPI (Water Resources Planning Institute). (2011). “Planning and physical model test results of flood diversion and sediment sluicing facilities upstream of Shihmen reservoir.” Water Resources Agency, Dept. of Economics Affair, Taipei, Taiwan (in Chinese).
Xu, J. P. (2011). “Measuring currents in submarine canyons: Technological and scientific progress in the past 30 years.” Geosphere, 7(4), 868–876.
Xu, J. P., Noble, M. A., and Rosenfeld, L. K. (2004). “In-situ measurements of velocity structure within turbidity currents.” Geophys. Res. Lett., 31(9), L09311.
Yanenko, N. N. (1971). The method of fractional steps, Springer, New York.

Information & Authors

Information

Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 141Issue 12December 2015

History

Received: Jan 28, 2014
Accepted: Mar 30, 2015
Published online: Jun 11, 2015
Discussion open until: Nov 11, 2015
Published in print: Dec 1, 2015

Permissions

Request permissions for this article.

Authors

Affiliations

Yong G. Lai [email protected]
Technical Service Center, U.S. Bureau of Reclamation, Denver, CO 80111 (corresponding author). E-mail: [email protected]
Jianchun Huang
Technical Service Center, U.S. Bureau of Reclamation, Denver, CO 80111.
Kuowei Wu
Dept. of Civil Engineering, National Chiao Tung Univ., Hsinchu, Taiwan.

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