The Library
Modeling the evolution of natural cliffs subject to weathering. 2, Discrete element approach
Tools
Utili, S. and Crosta, G. B.. (2011) Modeling the evolution of natural cliffs subject to weathering. 2, Discrete element approach. Journal of Geophysical Research, Vol.116 (No.F1). Article: F01017. ISSN 0148-0227
|
PDF
WRAP_Utili_part2_141211-2009jf001559.pdf - Published Version - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader Download (4Mb) |
Official URL: http://dx.doi.org/10.1029/2009JF001559
Abstract
The evolution of slopes subjected to weathering has been modeled by assuming Mohr-Coulomb behavior and by using a numerical approach based on the discrete element method (DEM). According to this method, soil and/or rock are represented by an assembly of bonded particles. Particle bonds are subject to progressive weakening, and so the material weathering and removal processes are modeled. Slope instability and material movement follow the decrease of material strength in space and time with the only assumption concerning the weathering distribution within the slope. First, the case of cliffs subject to strong erosion (weathering-limited conditions) and uniform weathering was studied to compare the results of the DEM approach with the limit analysis approach. Second, transport-limited slopes subject to nonuniform slope weathering were studied. Results have been compared with experimental data and other geomorphologic models from the literature (Fisher-Lehmann and Bakker–Le Heux). The flux of material from the slope is modeled assuming degradation both in space and time.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QA Mathematics Q Science > QE Geology T Technology > TA Engineering (General). Civil engineering (General) |
| Divisions: | Faculty of Science > Engineering |
| Library of Congress Subject Headings (LCSH): | Weathering -- Mathematical models, Landslides -- Mathematical models, Slopes (Physical geography) -- Mathematical models, Cliffs -- Mathematical models |
| Journal or Publication Title: | Journal of Geophysical Research |
| Publisher: | American Geophysical Union |
| ISSN: | 0148-0227 |
| Date: | 10 March 2011 |
| Volume: | Vol.116 |
| Number: | No.F1 |
| Number of Pages: | 17 |
| Page Range: | Article: F01017 |
| Identification Number: | 10.1029/2009JF001559 |
| Status: | Peer Reviewed |
| Publication Status: | Published |
| Access rights to Published version: | Restricted or Subscription Access |
| Version or Related Resource: | This item was also presented at the European Geosciences Union General Assembly 2009, Vienna, Austria, Apr 19-24, 2009. |
| References: | Andrews, D. J., and T. C. Hanks (1985), Scarp degraded by linear diffusion: inverse solution for age, J. Geophys. Res., 90, 10,193–10,208, doi:10.1029/JB090iB12p10193. Bakker, J. P., and J. W. N. Le Heux (1946), Projective‐geometric treatment of O. Lehmann’s theory of the transformation of steep mountain slopes, Proc. K. Ned. Akad. Wet., 49, 533–547. Bakker, J. P., and J. W. N. Le Heux (1952), A remarkable new geomorphological law, Proc. K. Ned. Akad. Wet., Ser. B, 55, 399–410, 554–571. Balmforth, N. J., and R. R. Kerswell (2005), Granular collapse in two dimensions, J. Fluid Mech., 538, 399–428, doi:10.1017/S0022112005005537. Bell, M., P. J. Fowler, and S. Hillson (Eds.) (1996), The Experimental Earthwork Project 1960–1992, Counc. for Br. Archaeol., York, U. K. Calvetti, F., and R. Nova (2004), Micromechanical approach to slope stability analysis, in Degradation and Instabilities of Geomaterials, CISM Courses Lecutres, vol. 461, edited by F. Darve and I. Vardoulakis, pp. 235–254, Springer, Berlin. Calvetti, F., G. B. Crosta, and M. Tatarella (2000), Numerical simulation of dry granular flows: From the reproduction of small‐scale experiments to the prediction of rock avalanches, Riv. Ital. Geotecnica, 34, 21–38. Carson, M. A., and M. J. Kirkby (1972), Hillslope Form and Process, 475 pp., Cambridge Univ. Press, Cambridge, U. K. Crosta, G. B., S. Imposimato, and D. Roddeman (2009), Numerical modeling of 2‐D granular step collapse on erodible and nonerodible surface, J. Geophys. Res., 114, F03020, doi:10.1029/2008JF001186. Cundall, P. A. (1987), Distinct element models of rock and soil structure, in Analytical and Computational Methods in Engineering Rock Mechanics, edited by E. T. Brown, pp. 129–163, Allen and Unwin, London. Cundall, P., and O. D. L. Strack (1979), Discrete numerical model for granular assemblies, Geotechnique, 29, 47–65, doi:10.1680/geot.1979. 29.1.47. Dixon, J. C., and C. E. Thorn (2005), Chemical weathering and landscape development in mid‐latitude alpine environments, Geomorphology, 67, 127–145, doi:10.1016/j.geomorph.2004.07.009. Estrada, N., A. Taboada, and F. Radjaï (2008), Shear strength and force transmission in granular media with rolling resistance, Phys. Rev. E, 78, 021301, doi:10.1103/PhysRevE.78.021301. Fisher, O. (1866), On the disintegration of a chalk cliff, Geol. Mag., 3, 354–356, doi:10.1017/S0016756800167573. Gough, B. (2010) Investigation into the retrogression of slopes by the Discrete Element Method, M.S. thesis, Oxford Univ., Oxford, U. K. Heimsath, A. M., W. E. Dietrich, K. Nishiizumi, and R. C. Finkel (1997), The soil production function and landscape equilibrium, Nature, 388, 358–361, doi:10.1038/41056. Hutchinson, J. N. (1998), A small‐scale field check on the Fisher‐Lehmann and Bakker–Le Heux cliff degradation models, Earth Surf. Process. Landf., 23, 913–926, doi:10.1002/(SICI)1096-9837(199810)23:10<913:: AID-ESP911>3.0.CO;2-G. Hutchinson, J. N. (2001), Reading the ground: Morphology and geology in site appraisal, Q. J. Eng. Geol. Hydrogeol., 34, 7–50, doi:10.1144/ qjegh.34.1.7. Hutchinson, J. N., and J. T. Stuart (2003), Analyses of the morphological changes with time, through denudation and siltation, in ditches of trapezoidal and triangular section, J. Archaeol. Sci., 30, 797–808. Jewell, P. A. (1963), The Experimental Earthwork on Overton Down, Wiltshire 1960, Br. Assoc. for the Adv. of Sci., London. Jiang, M. J., H. B. Yan, H. H. Zhu, and S. Utili (2010), Modeling shear behavior and strain localization in cemented sands by two‐dimensional distinct element method analyses, Comput. Geotech., 38, 14–29, doi:10.1016/j.compgeo.2010.09.001. Kirkby, M. J. (1987), General models of long‐term slope evolution through mass movement, in Slope Stability, edited by M. G. Anderson and K. S. Richards, pp. 359–379, John Wiley, New York. Kirkby, M. J., and I. Statham (1975), Surface stone movement and scree formation, J. Geol., 83, 349–362, doi:10.1086/628097. Lacaze, L., J. C. Phillips, and R. R. Kerswell (2008), Planar collapse of a granular column: Experiments and discrete element simulations, Phys. Fluids, 20, 063302, doi:10.1063/1.2929375. Lajeunesse, E., A. Mangeney‐Castelnau, and J. P. Vilotte (2004), Spreading of a granular mass on a horizontal plane, Phys. Fluids, 16, 2371, doi:10.1063/1.1736611. Lehmann, O. (1933), Morphologische Theorie der Verwitterung von SteinschlagwÄanden, Vierteljahresschr. Naturforsch. Ges. Zurich, 78, 83–126. Lube, G., H. Huppert, S. Sparks, and M. Hallworth (2004), Axisymmetric collapse of granular columns, J. Fluid Mech., 508, 175–199, doi:10.1017/S0022112004009036. Lube, G., H. Huppert, S. Sparks, and A. Freundt (2005), Collapses of two‐dimensional granular columns, Phys. Rev. E, 72, 041301, doi:10.1103/PhysRevE.72.041301. Nash, D. B. (1981), Fault: A FORTRAN program for modeling the degradation of active normal fault scarp, Comput. Geosci., 7(3), 249–266, doi:10.1016/0098-3004(81)90047-9. Ng, T. T., and R. Dobry (1994), Numerical simulations of monotonic and cyclic loading of granular soil, J. Geotech. Geoenviron. Eng., 120, 388– 403. Nova, R. (2008), Meccanica delle Costruzioni Geotecniche (in Italian), Cittastudi, Milan, Italy. Obanawa, H., and Y. Matsukura (2006), Mathematical modelling of talus development, Comput. Geosci., 32, 1461–1478, doi:10.1016/j.cageo. 2006.05.004. Potts, D. M., N. Kovacevic, and P. R. Vaughan (1997), Delayed collapse of cut slopes in stiff clay, Geotechnique, 47, 953–982, doi:10.1680/ geot.1997.47.5.953. Radenkovic, D. (1961), Théorie des charges limites: Extension à la mécanique des sols, Publ. Sci. Tech. Minist. Air (Fr.), 116. Scheidegger, A. E. (1961), Mathematical models of slope development, Geol. Soc. Am. Bull., 72, 37–50, doi:10.1130/0016-7606(1961) 72[37:MMOSD]2.0.CO;2. Schumm, S. A. (1956), The role of creep and rainwash on the retreat of badland slopes, Am. J. Sci., 254, 693–706, doi:10.2475/ajs.254.11.693. Siavoshi, S., and A. Kudrolli (2005), Failure of a granular step, Phys. Rev. E, 71, 051302, doi:10.1103/PhysRevE.71.051302. Taboada, A., and N. Estrada (2009), Rock‐and‐soil avalanches: Theory and simulation, J. Geophys. Res., 114, F03004, doi:10.1029/2008JF001072. Taboada, A., N. Estrada, and F. Radjai (2006), Additive decomposition of shear strength in cohesive granular media from grain‐scale interactions, Phys. Rev. Lett., 97, 098302–098306, doi:10.1103/PhysRevLett. 97.098302. Troncone, A. (2005), Numerical analysis of a landslide in soils with strainsoftening behaviour, Geotechnique, 55, 585–596, doi:10.1680/ geot.2005.55.8.585. Utili, S. (2006), Evolution of natural slopes subject to weathering: An analytical and numerical study, Ph.D thesis, Politecnico di Milano, Milan, Italy. Utili, S., and G. B. Crosta (2011), Modeling the evolution of natural cliffs subject to weathering: 1. Limit analysis approach, J. Geophys. Res., 116, F01017, doi:10.1029/2009JF001557. Utili, S., and R. Nova (2008), DEM analysis of bonded granular geomaterials, Int. J. Numer. Anal. Methods Geomech., 32, 1997–2031, doi:10.1002/nag.728. Wang, Y. H., and S. C. Leung (2008), A particulate scale investigation of cemented sand behaviour, Can. Geotech. J., 45, 29–44, doi:10.1139/ T07-070. Young, A. (1972), Slopes, 268 pp., Longman, London. Zheng, H., D. F. Liu, and C. G. Li (2005), Slope stability analysis based on elasto‐plastic finite element method, Int. J. Numer. Methods Eng., 64, 1871–1888, doi:10.1002/nme.1406. |
| URI: | http://wrap.warwick.ac.uk/id/eprint/40550 |
Data sourced from Thomson Reuters' Web of Knowledge
Actions (login required)
![]() |
View Item |
Tools
Tools

