Unstable Transients Affecting Flow Assurance during Hydraulic Transportation of Granular Two-Phase Slurries
Publication: Journal of Hydraulic Engineering
Volume 147, Issue 9
Abstract
Hydraulic two-phase transport applied in the dredging, mining, and deep-sea mining industries involves the transportation of sand, gravel, polymetallic nodules, or other particulate tailings as a solids phase and water as a liquid phase. Regardless of the type or size of the granular material, the slurry flow is always subject to transient behavior. Most transient behavior can be attributed to the centrifugal pump as variations in pump pressure and mixture velocity over time, but transients can also be caused by microscopic slurry mechanisms, specifically the amplification of density waves in a pipeline. Density wave amplification in horizontal pipelines at mixture velocities just above the deposition limit velocity was reported and researched in the 1990s. New experiments showing a density wave amplification in a system with combined vertical and horizontal pipelines and at mixture velocities far above the deposition limit suggest that another type of density wave amplification mechanism exists. The newly proposed density wave amplification mechanism is hypothesized to be caused by a change in average particle velocity as the slurry flows from a vertical pipe into a horizontal pipe. Density waves that grow too large cause system blockages or possibly a failure of the pump drive. This article considers centrifugal pump–induced transients and density wave amplification effects separately and how these effects influence each other. Three case studies showing density wave amplification are analyzed, one from the literature and two from new data sets. Furthermore, the causes of these transients are discussed, and where possible, solutions are proposed to avoid these undesirable instabilities.
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Data Availability Statement
Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
This research is supported and funded by Royal IHC and TKI Maritiem.
References
Alajbegović, A., A. Assad, F. Bonetto, and R. T. Lahey. 1994. “Phase distribution and turbulence structure for solid/fluid upflow in a pipe.” Int. J. Multiphase Flow 20 (3): 453–479. https://doi.org/10.1016/0301-9322(94)90021-3.
Bisschop, F. 2018. “Erosion of sand at high flow velocities: An experimental study.” Ph.D. thesis, Dept. of Offshore and Dredging Engineering, Delft Univ. of Technology.
Charru, F., and E. J. Hinch. 2006. “Ripple formation on a particle bed sheared by a viscous liquid. Part 1. Steady flow.” J. Fluid Mech. 550 (-1): 111. https://doi.org/10.1017/S002211200500786X.
de Hoog, E., J. M. van Wijk, and A. Talmon. 2017. “An experimental study into flow assurance of coarse inclined slurries.” In Proc., 18th Int. Conf. on Transport and Sedimenation of Solid Particles, 113–120. Wroclaw, Poland: Wroclaw Univ. of Environmental and Life Sciences.
Durand, R., and E. Condolios. 1952. “Transport hydraulique et decantation des materiaux solides.” Compte Rendu des Deuxièmes: Journees de l’hydraulique, Grenoble 2 (1): 25–29.
Franklin, E. M., and F. Charru. 2009. “Morphology and displacement of dunes in a closed-conduit flow.” Powder Technol. 190 (1–2): 247–251. https://doi.org/10.1016/j.powtec.2008.04.065.
Garside, J., and M. R. Al-Dibouni. 1977. “Velocity-voidage relationships for fluidization and sedimentation in solid-liquid systems.” Ind. Eng. Chem. Process Des. Dev. 16 (2): 206–214. https://doi.org/10.1021/i260062a008.
Kennedy, J. F. 1969. “The formation of sediment ripples, dunes, and antidunes.” Annu. Rev. Fluid Mech. 1 (1): 147–168. https://doi.org/10.1146/annurev.fl.01.010169.001051.
Matoušek, V. 1995. “Non-stationary solids flow in a long slurry pipeline with pumps in series - process of material aggregation.” In Proc., 8th Int. Conf. on Transport and Sedimentation of Solid Particles. Wroclaw, Poland: Wroclaw Univ. of Environmental and Life Sciences.
Matoušek, V. 1996a. “Solids transportation in a long pipeline connected with a dredge.” Terra et Aqua 62 (1): 3–11.
Matoušek, V. 1996b. “Unsteady solids flow in a long slurry pipeline with pumps in series - process of material aggregation.” J. Hydrol. Hydromech. 44 (6): 396–409.
Matoušek, V. 1997. “Flow mechanism of sand-water mixtures in pipelines.” Ph.D. thesis, Dept. of Offshore and Dredging Engineering, Delft Univ. of Technology.
Matoušek, V. 2001. “On the amplification of density waves in long distance pipelines connected with a dredge.” In Proc., 16th World Dredging Congress, 55–73. Bonsall, CA: World Organization of Dredging Associations.
Matoušek, V., M. Kesely, and Z. Chára. 2019. “Effect of pipe inclination on internal structure of settling slurry flow at and close to deposition limit.” Powder Technol. 343 (Feb): 533–541. https://doi.org/10.1016/j.powtec.2018.11.035.
Matoušek, V., and J. Krupička. 2013. “Different types of unsteady flow of solids generated in laboratory slurry pipe loop.” In Proc., 16th Int. Conf. on Transport and Sedimentation of Solid Particles, 19–31. Wroclaw, Poland: Wroclaw Univ. of Environmental and Life Sciences.
Messa, G. V., and S. Malavasi. 2014. “Numerical prediction of dispersed turbulent liquid–solid flows in vertical pipes.” J. Hydraul. Res. 52 (5): 684–692. https://doi.org/10.1080/00221686.2014.939110.
Miedema, S. A., Z. Lu, and V. Matoušek. 2003. “Numerical simulation of a development of a density wave in a long slurry pipeline.” In Proc., 23rd WEDA Technical Conf. & 35th TAMU Dredging Seminar, 99–109. Bonsall, CA: Western Dredging Association.
Mueller, T., J. M. van Wijk, and H. Mischo. 2018. “EU blue mining project – building a large scale test system and flow tests for vertical transport systems in deep sea mining.” Georesour. J. 15 (3): 38–45.
Richardson, J. F., and W. N. Zaki. 1954. “Sedimentation and fluidisation: Part I.” Trans. Inst. Chem. Eng. 32 (Dec): 35. https://doi.org/10.1016/S0263-8762(97)80006-8.
Rowe, P. N. 1987. “A convenient empirical equation for estimation of the Richardson-Zaki exponent.” Chem. Eng. Sci. 42 (11): 2795–2796. https://doi.org/10.1016/0009-2509(87)87035-5.
Southard, J. B. 1991. “Experimental determination of bed-form stability.” Annu. Rev. Earth Planet. Sci. 19 (1): 423–455. https://doi.org/10.1146/annurev.ea.19.050191.002231.
Spelay, R. B., R. G. Gillies, S. A. Hashemi, and R. S. Sanders. 2016. “Effect of pipe inclination on the deposition velocity of settling slurries.” Can. J. Chem. Eng. 94 (6): 1032–1039. https://doi.org/10.1002/cjce.22493.
Stepanoff, A. J. 1965. Pumps and blowers. Selected advanced topics. Two-phase flow; flow and pumping of solids in suspension and fluid mixtures. New York: Wiley.
Talmon, A. M. 1999. “Mathematical analysis of the amplification of density variations in long-distance sand transport pipelines.” In Proc., 14th Int. Conf. on Slurry Handling and Pipeline Transport, 3–20. Cranfield, UK: BHR Group.
Talmon, A. M. 2002. “Solid transport instability in the sliding bed regime.” In Proc., 11th Conf. on the Transport and Sedimentation of Solid Particles, 373–381. Wroclaw, Poland: Wroclaw Univ. of Environmental and Life Sciences.
Talmon, A. M., L. Aanen, and R. Bakker-Vos. 2007. “Laboratory tests on self-excitation of concentration fluctuations in slurry pipelines.” J. Hydraul. Res. 45 (5): 653–660. https://doi.org/10.1080/00221686.2007.9521801.
Taylor, G. I. 1954. “The dispersion of matter in turbulent flow through a pipe.” Proc. R. Soc. London Ser. A Math. Phys. Sci. 223 (1155): 446–468.
van Rhee, C. 2002. “On the sedimentation process in a trailing suction hopper dredger.” Ph.D. thesis, Dept. of Offshore and Dredging Engineering, Delft Univ. of Technology.
van Rhee, C. 2010. “Sediment entrainment at high flow velocity.” J. Hydraul. Eng. 136 (9): 572–582. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000214.
van Rhee, C., and A. M. Talmon. 2010. “Sedimentation and erosion of sediment at high solids concentration.” In Proc., 18th Int. Conf. on Hydrotransport, 211–222. Cranfield, UK: BHR Group.
van Rijn, L. C., F. Bisschop, and C. van Rhee. 2019. “Modified sediment pick-up function.” J. Hydraul. Eng. 145 (1): 06018017. https://doi.org/10.1061/(ASCE)HY.1943-7900.0001549.
van Wijk, J. M. 2016. “Vertical hydraulic transport for deep sea mining: A study into flow assurance.” Ph.D. thesis, Dept. of Offshore and Dredging Engineering, Delft Univ. of Technology.
van Wijk, J. M., F. van Grunsven, A. M. Talmon, and C. van Rhee. 2015. “Simulation and experimental proof of plug formation and riser blockage during vertical hydraulic transport.” Ocean Eng. 101 (Jun): 58–66. https://doi.org/10.1016/j.oceaneng.2015.04.015.
van Wijk, J. M., C. van Rhee, and A. M. Talmon. 2014. “Axial dispersion of suspended sediments in vertical upward pipe flow.” Ocean Eng. 92 (Dec): 20–30. https://doi.org/10.1016/j.oceaneng.2014.09.041.
Vlasák, P., V. Matoušek, Z. Chára, J. Krupička, J. Konfršt, and M. Kesely. 2020. “Concentration distribution and deposition limit of medium-coarse sand-water slurry in inclined pipe.” J. Hydrol. Hydromech. 68 (1): 83–91. https://doi.org/10.2478/johh-2019-0023.
Wilson, K. C., G. R. Addie, A. Sellgren, and R. Clift. 2006. Slurry transport using centrifugal pumps. 3rd ed. New York: Springer.
Wilson, K. C., and J. Tse. 1984. “Deposition limit for coarse-particle transport in inclined pipes.” In Proc., 9th Int. Conf. on the Hydraulic Transport of Solids in Pipes, 149–161. Wroclaw, Poland: Wroclaw Univ. of Environmental and Life Sciences.
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Received: Feb 26, 2020
Accepted: Apr 5, 2021
Published online: Jun 22, 2021
Published in print: Sep 1, 2021
Discussion open until: Nov 22, 2021
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