Percolation theory applied to simulated meander belt sandbodies

Earth and Planetary Science Letters

Volumn 153, Issue 3-4, 1997, Pages 265-277

  Stølum, Hans Henrik ^a   Friend, Peter F ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

Deposition; Meanders; Sand bodies; Scale models

Indexed keywords

EID: 0009847894     PISSN: 0012821X     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0012-821x(97)00173-8     Document Type: Article

References (26)

1. S.E. Livera, Facies associations and sand body geometries in the Ness Formation of the Brent Group, Brent Field, in: M.K.G. Whately, K.T. Pickering (Eds.), Deltas: Sites and Traps for Fossil Fuels, Geol. Soc. London, Spec. Publ. 41 (1989) 269-286.
2. A. Ryseth, Correlation of depositional patterns in the Ness Formation, Oseberg area, in: Correlation in Hydrocarbon Exploration, Graham and Trotman, London, 1989, pp. 313-326.
3. S. Ikeda, G. Parker, K. Sawai, Bend theory of river meanders: Part 1. Linear development, J. Fluid Mech. 112 (1981) 363-377.
4. G. Parker, K. Sawai, S. Ikeda, Bend theory of river meanders: Part 2. Nonlinear deformation of finite-amplitude bends, J. Fluid Mech. 115 (1982) 303-314.
5. G. Parker, E.D. Andrews, On the time development of meander bends, J. Fluid Mech. 162 (1986) 139-156.
6. H. Johannesson, G. Parker, Linear theory of river meanders, in: S. Ikeda, G. Parker (Eds.), River Meandering, Am. Geophys. Union, Water Res. Monogr. 12 (1989) 379-415.
7. A.D. Howard, Simulation model of meandering, in: C. Elliott (Ed.), River Meandering, Am. Soc. Civ. Eng., New York, NY, 1984, pp. 952-963.
8. A.D. Howard, T.R. Knutson, Sufficient conditions for river meandering: A simulation approach, Water Resour. Res. 20 (1984) 1656-1667.
9. D.J. Furbish, River-bend curvature and migration: How are they related?, Geology 16 (1988) 752-755.
10. A.D. Howard, Modelling channel migration and floodplain sedimentation in meandering streams, in: P.A. Carling, G.E. Petts (Eds.), Lowland Floodplain Rivers: Geomorphological Perspectives, Wiley, Chichester, 1992, pp. 1-40.
11. T. Sun, P. Meakin, T. Jøssang, A simulation model for meandering rivers, Water Resour. Res. 32 (1996) 2937-2954.
12. H.-H. Stølum, Planform geometry of free meandering rivers, Geol. Soc. Am. Bull. (in press).
13. H.-H. Stølum, River meandering as a self-organization process, Science 271 (1996) 1710-1713.
14. A.D. Howard, A.T. Hemberger, Multivariate characterization of meandering, Geomorphology 4 (1991) 161-186.
15. K. Hasegawa, Studies on qualitative and quantitative prediction of meander channel shift, in: S. Ikeda, G. Parker (Eds.), River Meandering, Am. Geophys. Union, Water Res. Monogr. 12 (1989) 215-234.
16. J.E. Pizzuto, T.S. Meckelnburg, Evaluation of a linear bank erosion equation, Water Resour. Res. 25 (1989) 1005-1013.
17. H.-H. Stølum, The number π in the sinuosity of free meandering rivers (in press).
18. J. Alexander, J.S. Bridge, M.R. Leeder, R.E.L. Collier, R.L. Gawthorpe, Holocene meander-belt evolution in an active extensional basin, southwestern Montana, J. Sediment. Res. B64 (1994) 542-559.
19. V.R. Baker, Adjustment of fluvial systems to climate and source terrain in tropical and subtropical environments, in: A.D. Miall (Ed.), Fluvial Sedimentology, Can. Soc. Pet. Geol. Mem. 5 (1978).
20. J. Feder, Fractals, Plenum, New York, NY, 1988.
21. G. Korvin, Fractal Models in the Earth Sciences, Elsevier, Amsterdam, 1992.
22. D. Stauffer, A. Aharony, Introduction to Percolation Theory, 2nd ed., Taylor and Francis, London, 1992.
23. M. Sahimi, Applications of Percolation Theory, Taylor and Francis, Bristol, PA, 1994.
24. H.E. Stanley, G. Daccord, H.J. Herrmann, J. Nittmann, Applications of scaling and disorderly growth phenomena to oil recovery, in: R. Pynn, A. Skjeltorp (Eds.), Scaling Phenomena in Disordered Systems, Plenum, New York, NY, 1985, pp. 85-98.
25. P.R. King, The connectivity and conductivity of overlapping sand bodies, in: A.T. Buller, et al. (Eds.), North Sea Oil and Gas Reservoirs II, Graham and Trotman, London, 1990, pp. 353-362.
26. H.-H. Stølum, Multifractality of a cluster fragmentation process (in prep.).