Modeling sediment deposition patterns arising from suddenly released fixed-volume turbulent suspensions

Studies in Applied Mathematics

Volumn 105, Issue 4, 2000, Pages 333-359

  Moodie, T B ^a   Pascal, J P ^b   Bowman, John C ^b  

^a UNIVERSITY OF ALBERTA   (Canada)

^b NONE

Author keywords

[No Author keywords available]

Indexed keywords

DEPOSITION PATTERNS; MODEL SEDIMENTS; SEDIMENT DEPOSITION; TURBULENT SUSPENSION;

EID: 0040788565     PISSN: 00222526     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-9590.00154     Document Type: Article

References (31)

1. R. T. BONNECAZE, H. E. HUPPERT, and J. R. LISTER, Particle-driven gravity currents, J. Fluid Mech. 250:339-369 (1993).
2. R. T. BONNECAZE, M. A. HALLWORTH, H. E. HUPPERT, and J. R. LISTER, Axisymmetric particle-driven gravity currents, J. Fluid Mech. 294:93-121 (1995).
3. R. T. BONNECAZE, H. E. HUPPERT, and J. R. LISTER, Patterns of sedimentation from polydispersed turbidity currents, Proc. Roy. Soc. Lond. A452:2247-2261 (1996).
4. T. B. MOODIE, J. P. PASCAL, and G. E. SWATERS, Sediment transport and deposition from a two-layer fluid model of gravity currents on sloping bottoms, Stud. Appl. Math. 100:215-244 (1998).
5. R. S. J. SPARKS, R. T. BONNECAZE, H. E. HUPPERT, J. R. LISTER, M. A. HALLWORTH, H. MADER, and J. PHILLIPS, Sediment-laden gravity currents with reversing buoyancy, Earth Planet Sci. Lett. 114:243-257 (1993).
6. C. GLADSTONE, J. C. PHILLIPS, and R. S. J. SPARKS, Experiments on bidisperse, constant-volume gravity currents: Propagation and sediment deposition, Sedimentology 45:833-843 (1998).
7. G. V. MIDDLETON, Sediment deposition from turbidity currents, Ann. Rev. Earth Planet. Sci. 21:89-114 (1993).
8. J. E. SIMPSON, Gravity Currents: In the Environment and the Laboratory, (2nd ed.), Cambridge U.P., Cambridge, 1997.
9. D. NOF, Rotational turbidity flows and the 1929 Grand Banks earthquake, Deep-Sea Res. 43:1143-1163 (1996).
10. W. SULLIVAN, Continents in Motion: The New Earth Debate, American Institute of Physics, New York, 1991.
11. T. VON KÁRMÁN, The engineer grapples with nonlinear problems, Bull. Am. Math. Soc. 46:615-683 (1940).
12. T. B. BENJAMIN, Gravity currents and related phenomena, J. Fluid Mech. 31:209-248 (1968).
13. J. B. KLEMP, R. ROTUNNO, and W. C. SKAMAROCK, On the dynamics of gravity currents in a channel, J. Fluid Mech. 269:169-198 (1994).
14. J. W. ROTTMAN and J. E. SIMPSON, Gravity currents produced by instantaneous releases of a heavy fluid in a rectangular channel, J. Fluid Mech. 135:95-110 (1983).
15. R. E. GRUNDY and J. W. ROTTMAN, The approach to self-similarity of the solutions of the shallow-water equations representing gravity-current releases, J. Fluid Mech. 156:39-53 (1985).
16. S. J. D. D'ALESSIO, T. B. MOODIE, J. P. PASCAL, and G. E. SWATERS, Gravity currents produced by sudden release of a fixed volume of heavy fluid, Stud. Appl. Math. 96:359-385 (1996).
17. P. J. MONTGOMERY and T. B. MOODIE, Analytical and numerical results for flow and shock formation in two-layer gravity currents, J. Austral. Math. Soc. Ser. B 40:35-58 (1998).
18. H. KREISS and J. LORENZ, Initial-Boundary Value Problems and the Navier-Stokes Equations, Academic Press, London, 1989.
19. P. J. MONTGOMERY and T. B. MOODIE, Two-layer gravity currents with topography, Stud. Appl. Math. 102:221-266 (1999).
20. P. J. MONTGOMERY and T. B. MOODIE, Dependence of gravity current front position on gradually varying bottom topography and dense current volume, Stud. Appl. Math., submitted.
21. W. B. DADE, J. R. LISTER, and H. E. HUPPERT, Fine-sediment deposition from gravity surges on uniform slopes, J. Sediment. Res. A64:423-432 (1994).
22. G. PARKER, Y. FUKUSHIMA, and H. M. PANTIN, Self-accelerating turbidity currents, J. Fluid Mech. 171:145-181 (1986).
23. T. B. MOODIE, Hydraulic theory and particle-driven gravity currents, Stud. Appl. Math., to appear.
24. M. H. GARCIA, Depositional turbidity currents laden with poorly sorted sediment, J. Hydr. Engrg. 120:1240-1263 (1994).
25. W. B. DADE and H. E. HUPPERT, A box model for non-entraining suspension-driven gravity surges on horizontal surfaces, Sedimentology 42:453-471 (1995).
26. A. N. KOLMOGOROV, The local structure of turbulence in an incompressible viscous fluid for very large Reynolds numbers, C.R. Acad. Sci. U.S.S.R. 30:301-306 (1941).
27. D. MARTIN and R. NOKES, Crystal settling in a vigorously convecting magma chamber, Nature 332:534-536 (1988).
28. D. MARTIN and R. NOKES, A fluid-dynamical study of crystal settling in convecting magmas, J. Petrol. 30:1471-1500 (1989).
29. R. LEVEQUE, Numerical Methods for Conservation Laws, Burkhäuser, Basel, 1992.
30. A. LAPIDUS, A detached shock calculation by second-order finite differences, J. Comp. Phys. 2:154-177 (1967).
31. M. A. HALLWORTH and H. E. HUPPERT, Abrupt transitions in high-concentration, particle-driven gravity currents, Phys. Fluids 10:1083-1087 (1998).