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Consolidation of freshly deposited cohesive and noncohesive sediment: Particle-resolved simulations

Bernhard Vowinckel*, Edward Biegert, Paolo Luzzatto-Fegiz, and Eckart Meiburg

  • Department of Mechanical Engineering, University of California, Santa Barbara, Santa Barbara, California 93106, USA

  • *vowinckel@engineering.ucsb.edu

Phys. Rev. Fluids 4, 074305 – Published 15 July, 2019

DOI: https://doi.org/10.1103/PhysRevFluids.4.074305

Abstract

We analyze the consolidation of freshly deposited cohesive and noncohesive sediment by means of particle-resolved direct Navier-Stokes simulations based on the immersed boundary method. The computational model is parametrized by material properties and does not involve any arbitrary calibrations. We obtain the stress balance of the fluid-particle mixture from first principles and link it to the classical effective stress concept. The detailed data sets obtained from our simulations allow us to evaluate all terms of the derived stress balance. We compare the settling of cohesive sediment to its noncohesive counterpart, which corresponds to the settling of the individual primary particles. The simulation results yield a complete parametrization of the Gibson equation, which has been the method of choice to analyze self-weight consolidation.

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References (76)

  1. H. Hamaker, The London–van der Waals attraction between spherical particles, Physica 4, 1058 (1937).
  2. J. Visser, Van der Waals and other cohesive forces affecting powder fluidization, Powder Technol. 58, 1 (1989).
  3. K. Black, T. Tolhurst, D. Paterson, and S. Hagerthey, Working with natural cohesive sediments, J. Hydraul. Eng. 128, 2 (2002).
  4. H. Fang, M. Fazeli, W. Cheng, and S. Dey, Transport of biofilm-coated sediment particles, J. Hydraul. Res. 54, 631 (2016).
  5. C. L. Amos, G. R. Daborn, H. A. Christian, A. Atkinson, and A. Robertson, In situ erosion measurements on fine-grained sediments from the Bay of Fundy, Mar. Geol. 108, 175 (1992).
  6. J. Berlamont, M. Ockenden, E. Toorman, and J. Winterwerp, The characterisation of cohesive sediment properties, Coast. Eng. 21, 105 (1993).
  7. L. P. Sanford and J. P.-Y. Maa, A unified erosion formulation for fine sediments, Mar. Geol. 179, 9 (2001).
  8. H. Burchard, H. M. Schuttelaars, and D. K. Ralston, Sediment trapping in estuaries, Annu. Rev. Mar. Sci. 10, 371 (2017).
  9. H. E. De Swart and J. T. F. Zimmerman, Morphodynamics of tidal inlet systems, Annu. Rev. Fluid Mech. 41, 203 (2009).
  10. E. Meiburg and B. Kneller, Turbidity currents and their deposits, Annu. Rev. Fluid Mech. 42, 135 (2010).
  11. G. J. Kynch, A theory of sedimentation, Trans. Faraday Soc. 48, 166 (1952).
  12. J. Richardson and W. Zaki, The sedimentation of a suspension of uniform spheres under conditions of viscous flow, Chem. Eng. Sci. 3, 65 (1954).
  13. J. Ham and G. Homsy, Hindered settling and hydrodynamic dispersion in quiescent sedimenting suspensions, Int. J. Multiphase Flow 14, 533 (1988).
  14. J. Winterwerp, On the flocculation and settling velocity of estuarine mud, Cont. Shelf Res. 22, 1339 (2002).
  15. R. Dorrell and A. J. Hogg, Sedimentation of bidisperse suspensions, Int. J. Multiphase Flow 36, 481 (2010).
  16. R. M. Dorrell, A. J. Hogg, E. J. Sumner, and P. J. Talling, The structure of the deposit produced by sedimentation of polydisperse suspensions, J. Geophys. Res.—Earth 116, F01024 (2011).
  17. K. Been and G. Sills, Self-weight consolidation of soft soils: An experimental and theoretical study, Géotechnique 31, 519 (1981).
  18. F. Townsend and M. McVay, Soa: Large strain consolidation predictions, J. Geotech. Eng. 116, 222 (1990).
  19. G. Sills, Development of structure in sedimenting soils, Philos. Trans. R. Soc. A 356, 2515 (1998).
  20. E. Toorman, Sedimentation and self-weight consolidation: Constitutive equations and numerical modelling, Géotechnique 49, 709 (1999).
  21. J. Chauchat, S. Guillou, D. Pham Van Bang, and K. Dan Nguyen, Modelling sedimentation-consolidation in the framework of a one-dimensional two-phase flow model, J. Hydraul. Res. 51, 293 (2013).
  22. Z. Zhou, M. van der Wegen, B. Jagers, and G. Coco, Modelling the role of self-weight consolidation on the morphodynamics of accretional mudflats, Environ. Modell. Softw. 76, 167 (2016).
  23. V. Pane and R. Schiffman, A note on sedimentation and consolidation, Géotechnique 35, 69 (1985).
  24. E. Toorman, Sedimentation and self-weight consolidation: General unifying theory, Géotechnique 46, 103 (1996).
  25. R. Gibson, G. England, and M. Hussey, The theory of one-dimensional consolidation of saturated clays: 1. Finite non-linear consildation of thin homogeneous layers, Géotechnique 17, 261 (1967).
  26. K. Terzaghi, Theoretical Soil Mechanics (Chapman & Hall, London, 1951).
  27. J. C. Winterwerp and W. G. Van Kesteren, Introduction to the Physics of Cohesive Sediment Dynamics in the Marine Environment (Elsevier, Amsterdam, 2004), Vol. 56.
  28. P. Le Hir, F. Cayocca, and B. Waeles, Dynamics of sand and mud mixtures: A multiprocess-based modeling strategy, Cont. Shelf Res. 31, S135 (2011).
  29. F. Grasso, P. Le Hir, and P. Bassoullet, Numerical modeling of mixed-sediment consolidation, Ocean Dynam. 65, 607 (2015).
  30. R. Weiland, Y. Fessas, and B. Ramarao, On instabilities arising during sedimentation of two-component mixtures of solids, J. Fluid Mech. 142, 383 (1984).
  31. F. Xu, J. Kim, and S. Lee, Particle-induced viscous fingering, J. Non-Newtonian Fluid Mech. 238, 92 (2016).
  32. H. Torfs, H. Mitchener, H. Huysentruyt, and E. Toorman, Settling and consolidation of mud/sand mixtures, Coast. Eng. 29, 27 (1996).
  33. A. Cuthbertson, P. Dong, S. King, and P. Davies, Hindered settling velocity of cohesive/non-cohesive sediment mixtures, Coast. Eng. 55, 1197 (2008).
  34. A. J. Manning, J. V. Baugh, J. R. Spearman, and R. J. Whitehouse, Flocculation settling characteristics of mud: Sand mixtures, Ocean Dynam. 60, 237 (2010).
  35. J. R. Spearman, A. J. Manning, and R. J. Whitehouse, The settling dynamics of flocculating mud and sand mixtures: Part 2—Numerical modelling, Ocean Dynam. 61, 351 (2011).
  36. S. Te Slaa, Q. He, D. S. van Maren, and J. C. Winterwerp, Sedimentation processes in silt-rich sediment systems, Ocean Dynam. 63, 399 (2013).
  37. S. Te Slaa, D. van Maren, Q. He, and J. Winterwerp, Hindered settling of silt, J. Hydraul. Eng. 141, 04015020 (2015).
  38. A. J. Cuthbertson, O. Ibikunle, W. J. McCarter, and G. Starrs, Monitoring and characterisation of sand-mud sedimentation processes, Ocean Dynam. 66, 867 (2016).
  39. B. Vowinckel, T. Kempe, and J. Fröhlich, Fluid-particle interaction in turbulent open channel flow with fully-resolved mobile beds, Adv. Water Resour. 72, 32 (2014).
  40. B. Vowinckel, R. Jain, T. Kempe, and J. Fröhlich, Erosion of single particles in a turbulent open-channel flow: A numerical study, J. Hydraul. Res. 54, 158 (2016).
  41. B. Vowinckel, V. Nikora, T. Kempe, and J. Fröhlich, Momentum balance in flows over mobile granular beds: Application of double-averaging methodology to DNS data, J. Hydraul. Res. 55, 190 (2017).
  42. B. Vowinckel, V. Nikora, T. Kempe, and J. Fröhlich, Spatially-averaged momentum fluxes and stresses in flows over mobile granular beds: A DNS-based study, J. Hydraul. Res. 55, 208 (2017).
  43. E. Biegert, B. Vowinckel, and E. Meiburg, A collision model for grain-resolving simulations of flows over dense, mobile, polydisperse granular sediment beds, J. Comput. Phys. 340, 105 (2017).
  44. E. Biegert, B. Vowinckel, R. Ouillon, and E. Meiburg, High-resolution simulations of turbidity currents, Prog. Earth Planet. Sci. 4, 33 (2017).
  45. B. Vowinckel, J. Withers, P. Luzzatto-Fegiz, and E. Meiburg, Settling of cohesive sediment: Particle-resolved simulations, J. Fluid Mech. 858, 5 (2019).
  46. E. Biegert, B. Vowinckel, L. Hua, and E. Meiburg, Stressbalance for a viscous flow with a single rolling particle, River Flow 2018—Ninth International Conference on Fluvial Hydraulics, E3S Web. Conf. 40, 04003 (2018).
  47. E. K. Biegert, Eroding uncertainty: Towards understanding flows interacting with mobile sediment beds using grain-resolving simulations, Ph.D. thesis, University of California, Santa Barbara, 2018.
  48. M. Uhlmann, An immersed boundary method with direct forcing for the simulation of particulate flows, J. Comput. Phys. 209, 448 (2005).
  49. T. Kempe and J. Fröhlich, An improved immersed boundary method with direct forcing for the simulation of particle laden flows, J. Comput. Phys. 231, 3663 (2012).
  50. N. Mordant and J. F. Pinton, Velocity measurement of a settling sphere, Eur. Phys. J. B 18, 343 (2000).
  51. A. Ten Cate, C. H. Nieuwstad, J. J. Derksen, and H. E. A. Van den Akker, Particle imaging velocimetry experiments and lattice-Boltzmann simulations on a single sphere settling under gravity, Phys. Fluids 14, 4012 (2002).
  52. P. Gondret, M. Lance, and L. Petit, Bouncing motion of spherical particles in fluids, Phys. Fluids 14, 643 (2002).
  53. S. F. Foerster, M. Y. Louge, H. Chang, and K. Allia, Measurements of the collision properties of small spheres, Phys. Fluids 6, 1108 (1994).
  54. P. Aussillous, J. Chauchat, M. Pailha, M. Médale, and É. Guazzelli, Investigation of the mobile granular layer in bedload transport by laminar shearing flows, J. Fluid Mech. 736, 594 (2013).
  55. G. G. Joseph, R. Zenit, M. L. Hunt, and A. M. Rosenwinkel, Particle-wall collisions in a viscous fluid, J. Fluid Mech. 433, 329 (2001).
  56. G. G. Joseph and M. L. Hunt, Oblique particle-wall collisions in a liquid, J. Fluid Mech. 510, 71 (2004).
  57. B. Derjaguin and L. Landau, Theory of the stability of strongly charged lyophobic sols and of the adhesion of strongly charged particles in solutions of electrolytes, Acta Physicochim. USSR 14, 633 (1941).
  58. E. Verwey and J. Overbeek, Theory of the Stability of Lyophobic Colloids: The Interaction of Sol Particles Having an Electric Double Layer (Courier, Chelmsford, 1948).
  59. J. Israelachvili, Adhesion forces between surfaces in liquids and condensable vapours, Surf. Sci. Rep. 14, 109 (1992).
  60. S. Pednekar, J. Chun, and J. F. Morris, Simulation of shear thickening in attractive colloidal suspensions, Soft Matter 13, 1773 (2017).
  61. J. N. Israelachvili, The nature of van der Waals forces, Contemp. Phys. 15, 159 (1974).
  62. R. Sun, H. Xiao, and H. Sun, Investigating the settling dynamics of cohesive silt particles with particle-resolving simulations, Adv. Water Resour. 111, 406 (2018).
  63. L. Bergström, Hamaker constants of inorganic materials, Adv. Colloid Interface Sci. 70, 125 (1997).
  64. J. C. Berg, An Introduction to Interfaces & Colloids: The Bridge to Nanoscience (World Scientific, Singapore, 2010).
  65. S. U. Gerbersdorf, S. Wieprecht, M. Thom, D. M. Paterson, and M. Scheffler, New insights into MagPI: A promising tool to determine the adhesive capacity of biofilm on the mesoscale, Biofouling 34, 618 (2018).
  66. V. Nikora, F. Ballio, S. Coleman, and D. Prokrajac, Spatially-averaged flows over mobile rough beds: definitions, averaging theorems, and conservation equations, J. Hydraul. Eng.—ASCE 139, 803 (2013).
  67. A. J. Mehta, E. J. Hayter, W. R. Parker, R. B. Krone, and A. M. Teeter, Cohesive sediment transport. I: Process description, J. Hydraul. Eng. 115, 1076 (1989).
  68. W. Lick, H. Huang, and R. Jepsen, Flocculation of fine-grained sediments due to differential settling, J. Geophys. Res.—Oceans 98, 10279 (1993).
  69. J. C. Winterwerp, A simple model for turbulence induced flocculation of cohesive sediment, J. Hydraul. Res. 36, 309 (1998).
  70. L. Merckelbach and C. Kranenburg, Equations for effective stress and permeability of soft mud-sand mixtures, Géotechnique 54, 235 (2004).
  71. J. Bear, Dynamics of Fluids in Porous Media (Courier, Chelmsford, 2013).
  72. M. Houssais, C. P. Ortiz, D. J. Durian, and D. J. Jerolmack, Onset of sediment transport is a continuous transition driven by fluid shear and granular creep, Nat. Commun. 6, 6527 (2015).
  73. F. Boyer, É. Guazzelli, and O. Pouliquen, Unifying Suspension and Granular Rheology, Phys. Rev. Lett. 107, 188301 (2011).
  74. C.-H. Lee, Y. Low, and Y.-M. Chiew, Multi-dimensional rheology-based two-phase model for sediment transport and applications to sheet flow and pipeline scour, Phys. Fluids 28, 053305 (2016).
  75. Z. Cheng, T.-J. Hsu, and J. Calantoni, Sedfoam: A multi-dimensional Eulerian two-phase model for sediment transport and its application to momentary bed failure, Coast. Eng. 119, 32 (2017).
  76. M. Panah, F. Blanchette, and S. Khatari, Simulations of a porous particle settling in a density-stratified ambient fluid, Phys. Rev. Fluids 2, 114303 (2017).

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