Evaluation of linear and nonlinear sediment transport equations using hillslope morphology

Catena

Volumn 64, Issue 2-3, 2005, Pages 272-280

  Jiménez Hornero, Francisco J ^a   Laguna, Ana ^a   Giráldez, Juan V ^a  

^a UNIVERSITY OF CÓRDOBA   (Spain)

Author keywords

Linear and nonlinear diffusive sediment transport equations; Steady state conditions

Indexed keywords

GEOMORPHOLOGY; HILLSLOPE; MODELING; SEDIMENT TRANSPORT;

EID: 29244475099     PISSN: 03418162     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.catena.2005.09.001     Document Type: Conference Paper

References (20)

1. A.R. Armstrong Slopes, boundary conditions in the development of convexo-concave forms - some numerical experiments Earth Surf. Process. Landf. 12 1987 17 30
2. K.J. Beven Rainfall-Runoff Modeling: The Primer 2000 John Wiley Colchester
3. H.S. Carslaw, and J.C. Jaeger Conduction of Heat in Solids 1959 Cambridge University Press Cambridge
4. W.E.H. Culling Soil creep and the development of hillside slopes J. Geol. 71 1963 127 161
5. W.E. Dietrich, D.G. Bellugi, L.S. Sklar, J.D. Stock, A.M. Heimsath, and J.J. Roering Geomorphic transport laws for predicting landscape form and dynamics P.R. Wilcock R.M. Iverson Prediction in Geomorphology 2003 Amer. Geophys. Union Washington 103 132
6. G. Farin Curves and Surfaces for Computer-Aided Geometric Design 1997 Academic Press San Diego
7. N.F. Fernandes, and W.E. Dietrich Hillslope evolution by diffusive processes: the timescale for equilibrium adjustments Water Resour. Res. 33 1997 1307 1318
8. D.J. Furbish Using the dynamically couple behaviour of land-surface geometry and soil thickness in developing and testing hillslopes evolution model P.R. Wilcock R.M. Iverson Prediction in Geomorphology 2003 Amer. Geophys. Union Washington 169 181
9. D.J. Furbish, and S. Fagherazzi Stability of creeping soil and implications for hillslope evolution Water Resour. Res. 37 2001 2607 2618
10. G. Govers, K. Vandaele, P. Desmet, J. Poesen, and K. Bunte The role of tillage in soil redistribution on hillslopes Eur. J. Soil Sci. 45 1994 469 478
11. A.M. Heimsath, W.E. Dietrich, K. Nishiizumi, and R.C. Finkel The soil production function and landscape equilibrium Nature 388 1997 358 361
12. M. Hirano A mathematical model for slope development J. Geosci. 11 1968 13 52
13. A.D. Howard Equilibrium models in geomorphology M.G. Anderson Modelling a Geomorphological System 1988 John Wiley New York 49 72
14. A.D. Howard A detachment-limited model of drainage basin evolution Water Resour. Res. 30 1994 2261 2285
15. H.M. Jaeger, S.R. Nagel, and R.P. Behringer The physics of granular materials Phys. Today 49 1996 32 38
16. F.J. Jiménez-Hornero, J.V. Giráldez, and A. Laguna Estimation of the role of obstacles in the downslope soil flow with a simple erosion model: the analytical solution and its approximation with the lattice Boltzmann model Catena 57 2004 261 275
17. M.J. Kirkby Hillslope process-response models based on the continuity equation D. Brunsden Slopes: Form and Process Inst. Brit. Geogr. Spec. Pub. vol. 3 1971 15 30
18. D.A. Lobb, R.G. Kachanoski, and M.H. Miller Tillage translocation and tillage erosion in the complex upland landscapes of southwestern Ontario Can. Soil Tillage Res. 51 1999 189 209
19. J.J. Roering, J.W. Kichner, and W.E. Dietrich Evidence for nonlinear, diffusive transport on hillslopes and implications for landscape morphology Water Resour. Res. 35 1999 853 870
20. Tucker, G.E., Slingerland, R., 1994. Erosional dynamics, flexural isostasy, and long-lived escarpments: A numerical modeling study. J. Geophys. Res. 99 (B6) 12: 229-243.