Process-response coastal-recession model and its application to the Holderness coast (UK)
DOI:
https://doi.org/10.21701/bolgeomin.123.2.002Keywords:
coastal cliff, coastal geomorphology, erosion-recession, rock mechanics, tillsAbstract
At the moment the development of predictive cliff-erosion models is limited from a geomorphological perspective due to the complex interactions existing between coupled processes acting over wide scales of time and space. Current models incorporate a probabilistic framework in order to simulate coastal recession events or cliff failure and tend to assess the effects of climate change through changes in the mean sea lea level. According to this procedure, the resulting simulations of cliffs with different behaviours might produce identical annual retreat characteristics even if their potential response to changing environments may not be the same. Thus, a new process-response model is developed to incorporate the behavioural characteristics of cohesive clay coasts with a protective talus wedge under erosive processes. To this end, the model incorporates dynamic marine processes such as variations in mean sea level, tides and waves together with cliff evolution in the shape of erosion, cliff failure and the formation of foot talus deposits. Cliff erosion is calculated on the basis of sea-level changes, wave incidence, shore platform slope and the uniaxial compressive strength of the rock over each tidal cycle. After each cycle the geomechanical stability against topple movement of the cliff face is evaluated and in the event of failure, a talus wedge is formed. The model has been corroborated by an assessment of profile evolution at various locations along a rapidly retreating area on the coast of Holderness in the UK. The results represent an important step-forward in linking material properties to cliff recession processes and the subsequent long-term coastal response in the face of changing sea-level conditions.
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References
Amin, S.M.N. y Davidson-Arnott, R.G.D. 1997. A statistical analysis of controls on shoreline erosion rates, Lake Ontario. Journal of Coastal Research, 13(4), 1093-1101.
Ashton, A.D., Walkden, M. y Dickson, M. 2011. Equilibrium responses of cliffed coasts to changes in the rate of sea level rise. Marine Geology, 284, 217-229. https://doi.org/10.1016/j.margeo.2011.01.007
Ayala-Carcedo, F.J. y Olcina, J. 2002. Riesgos naturales. Ariel, Barcelona, 1512 pp.
Bell, F.G. 2000. Engineering properties of soils and rocks. 4th Ed., Blackwell Science Ltd., Oxford, 482 pp.
Bell, F.G. 2002. The geotechnical properties of some till deposits occurring along the coastal areas of eastern England. Engineering Geology, 63, 49-68. https://doi.org/10.1016/S0013-7952(01)00068-0
Bell, F.G. 2007. Engineering Geology. 2nd Ed., Elsevier, Oxford, 581 pp.
Berridge, N.G. y Pattinson, J. 1994. Geology of the Country around Grimsby and Pattrington. Her Majesty's Stationery Office, London.
Bird, E. 2008. Coastal geomorphology: an introduction. John Wiley & Sons. Segunda edición. New York, 441 pp.
Bird, E. 2010. Encyclopedia of the World's Coastal Landforms. Springer, Netherland, 1498 pp. https://doi.org/10.1007/978-1-4020-8639-7
Blanco Chao, R., Costa Casais, M., Martínez Cortizas, A., Pérez Alberti, A. y Trenhaile, A.S. 2003. Evolution and inheritance of a rock coast: western Galicia, northwestern Spain. Earth Surface Processes and Landforms, 28, 757-775. https://doi.org/10.1002/esp.496
Blanco-Chao, R., Perez Alberti, A., Trenhaile, A.S., Costa Casais, A. y Valcarcel-Diaz, M. 2007. Shore platform abrasion in a para-periglacial environment, Galicia, northwestern Spain. Geomorphology, 83, 136-151. https://doi.org/10.1016/j.geomorph.2006.06.028
Bounaiuto, F.S. y Bokuniewicz, H. 2005. Coastal bluff recession and impacts on littoral transport: Special reference to Montauk, NY. Shore and Beach, 4, 24-29.
Bray, M.J. y Hooke, J. 1997. Prediction of soft-cliff retreat with accelerating sea-level rise. Journal of Coastal Research, 13(2), 453-467.
Brundsen, D. y Lee, E.M. 2004. Behaviour of coastal landslide Systems: an interdisciplinary view. Zeitschrift fur Geomorphologie, 134, 1-112.
Budetta, P., Galietta, G. y Santo, A. 2000. A methodology for the study of the relation between coastal Cliff erosion and the mechanical strength of soils and rock masses. Engineering Geology, 56, 243-256. https://doi.org/10.1016/S0013-7952(99)00089-7
Castedo, R. 2010. Modelo predictivo mesoescala de recesión de acantilados costeros. Escuela Superior de Ingenieros de Minas, Diploma de estudios avanzados. Informe inédito, 67 pp. Universidad Politécnica de Madrid.
Catt, J.A. 2007. The Pleistocene Glaciations of Eastern Yorkshire: A Review. Proceedings of the Yorkshire Geological Society, 56, 177-207. https://doi.org/10.1144/pygs.56.3.177
Coastal Explorer, East Riding of Yorkshire council, civil engineering services department, 18/10/2011, http://www.eastriding.gov.uk/coastalexplorer/homepage.html
Corominas, J. 1996. The angle of reach as a mobility index for small and large landslides. Canadian Geotechnical Journal, 33, 260-271. https://doi.org/10.1139/t96-005
Craig, R.F. 2004. Soils Mechanics. 7 Ed. Spon Press, London, 443 pp.
Davidson-Arnott, R.G.D. 2010. An introduction to coastal processes and geomorphology. Cambridge University Press, New York, 442 pp. https://doi.org/10.1017/CBO9780511841507
Del Río, L., Gracia, F.J., y Benavente, J. 2009. Mass Movements and Cliff Retreat along the SW Spanish Coast. Journal of Coastal Research. ICS2009 proceedings. 56, 717-721.
Eurosion. 2004. Living with Coastal Erosion in Europe: Sediment and Space for Sustainability. Results from the Eurosion study, 40 pp.
Furlan, C. 2008. Hierarchical random effect models for coastal erosion of cliffs in the Holderness coast. Statistical Methods and Applications, 17, 335-350. https://doi.org/10.1007/s10260-007-0069-1
Gibbons, C.R. 2004. A study of the different types of landslides and the associated rates of recession along the Holderness coast, East Yorkshire. MSc thesis, trabajo inédito University of Leeds.
Gunn, D.A., Pearson, S.G., Chambers, J.E., Nelder, L.M., Lee, J.R., Beamish, D., Busby, J.P., Tinsley, R.D. y Tinsley, W.H. 2006. An Evaluation of Combined Geophysical and Geotechnical Methods to Characterize Beach Thickness. Quarterly Journal of Engineering Geology and Hydrogeology, 39, 339-355. https://doi.org/10.1144/1470-9236/05-038
Hapke, C. y Plant, N. 2010.Predicting coastal cliff erosion using a Bayesian probabilistic model. Marine Geology, 278(1-4), 140-149. https://doi.org/10.1016/j.margeo.2010.10.001
Heim, A. 1932. Bergstürze und Menschenleben. Beiblatt zur Vierteljahresschrift der Naturforsforschenden Gesellschaft in Zürich.
Hermosilla, T., Bermejo, E., Balaguer, A. y Ruiz, L.A. 2008. Non-linear fourth-order image interpolation for subpixel edge detection and localization. Image and vision computing, 26(9), 1240-1248. https://doi.org/10.1016/j.imavis.2008.02.012
Hulme, M., Jenkins, G.J., Lu, X., Turnpenny, J.R., Mitchell, T.D., Jones, R.G., Lowe, J., Muphy, J.M., Hassell, D., Boorman, P., Mcdonald, R. y Hill, S. 2002. Climate Change Scenarios for the United Kingdom. The UKCIP02 Scientific Report, University of East Anglia, Norwich, Tyndall Centre for Climate Change Research.
Hutchinson, J.N. 1986. Cliffs and Shores in Cohesive Materials: Geotechnical and Engineering Geological Aspects Cohesive Shores. Burlington Associate Committee for Research on Shoreline Erosion and Sedimentation and Natural Research Council. Burlington, Ontario, Canada. 1-44 pp.
Kamphuis, J.W. 1987. Recession rate of glacial till bluffs. Journal of Waterways, Port, Coastal, and Ocean Engineering, 113(1), 60-73. https://doi.org/10.1061/(ASCE)0733-950X(1987)113:1(60)
Kogure, T., Aoki, H., Maekado, A., Hirose, T. y Matsukura, Y. 2006. Effect of the development of notches and tension cracks on instability of limestone coastal cliffs in the Ryukyus, Japan. Geomorphology, 80, 236-244. https://doi.org/10.1016/j.geomorph.2006.02.012
Langendoen, E.J. 2000. CONCEPTS-Conservational Channel Evolution and Pollutant Transport System. USDA and ARS. Research Report, 16. 160 pp.
Lee, E.M. y Clark, A.R. 2002. Investigation and management of soft rock cliffs. DEFRA. Thomas Telford, London, 382 pp. https://doi.org/10.1680/iamosrc.29859
Lee, E.M. 2008. Coastal cliff behaviour: Observations on the relationship between beach levels and recession rates. Geomorphology, 101, 558-571. https://doi.org/10.1016/j.geomorph.2008.02.010
Mano, A. y Suzuki, S. 1999. Erosion characteristics of sea cliffs on the Fukushima coast. Coastal Engineering Journal, 41(1), 43-63. https://doi.org/10.1142/S0578563499000048
Mason, S.J. y Hansom, J.D. 1989. Cliff erosion and its contribution to a sediment budget for part of the Holderness coast. Shore Beach, 56, 30-38.
Marsland, A. y Powell, J.J.M. 1985. Field and Laboratory Investigations of the Clay Tills at the Building Research Establishment Test Site at Cowden, Holderness. Proceedings of the International Conference on Construction in Glacial Tills and Boulder Clays. Edinburgh, Edinburgh Technics Press. 147-168 pp.
Matsukura, Y. 1988. Cliff instability in pumice flow deposits due to notch formation on the Asama mountain slope, Japan. Zeitschrift für Geomorphologie N. F. 32, 129-141. https://doi.org/10.1127/zfg/32/1988/129
Medina, R., Losada, I.J., Menéndez, F.J., Olabarrieta, M., Liste, M., Menéndez, M., Tomás, A., Abascal, A.J., Agudelo, P. y Guanche, R. 2004. Impactos en la costa española por efecto del cambio climático. Dirección General de Calidad y Evaluación Ambiental. Universidad de Cantabria. 378 pp.
Milheiro-Oliveira, P. 2007. Bayesian statistical methods for modelling and prediction of major landslides in coastal cliffs. Coastal Engineering Journal, 49(1), 45-61. https://doi.org/10.1142/S0578563407001502
Mortimore, R.N., Wood, C.J. y Gallois, R.W. 2001. British Upper Cretaceous Stratigraphy. Geological Conservation Review Series, No. 23, Joint Nature Conservation Committee, Peterborough, 558 pp.
Newsham, R., Balson, P.S., Tragheim, D.G. y Denniss, A.M. 2002. Determination and prediction of sediment yields from recession of the Holderness Coast. Journal of Coastal Conservation, 8, 49-54. https://doi.org/10.1007/BF02806583
Noetzli, J., Huggel, C., Hoelzle, M. y Haeberli, W. 2006. GIS- based modelling of rock-ice avalanches from Alpine permafrost areas. Computational Geosciences, 10, 161-178. https://doi.org/10.1007/s10596-005-9017-z
Paredes, C., Castedo, R., Llorente, M y Laín, L. 2012. Un modelo predictivo de la evolución en costas rocosas. Revista Internacional de Métodos Numéricos para el Cálculo y Diseño en Ingeniería, 28 (4), en prensa. https://doi.org/10.1016/j.rimni.2012.08.002
Pethick, J. 1996. Coastal Slope Development: Temporal and Spatial Periodicity in the Holderness Cliff Recession. Anderson, M.G. & Brooks, S.M. (Eds.) Advances in Hillslope Processes. Chichester, John Wiley & Sons.
Prandle, D., Lane, A. y Wolf, J. 2001. Holderness coastal erosion - offshore movement by tides and waves. Huntley, D.A., Leeks, G.J.L. & Walling, D.E. (Eds.) Land-ocean interaction. Cornwall, Iwa publishing. 209-240.
Pringle, A.W. 1985. Holderness coast erosion and the significance of ords. Earth Surface Processes and Landforms,10, 107-124. https://doi.org/10.1002/esp.3290100204
Quinlan, P.J. 2005. A geomorphological assessment of the stability of the flat cliffs landslide complex, Filley Bay, North Yorkshire. MSc thesis, trabajo inédito. University of Leeds.
Quinn, J.D. 2009. The landslides and recession of the Holderness Coast, Yorkshire, UK. PhD thesis, trabajo inédito. University of Leeds.
Quinn, J.D., Philip, L.K. y Murphy, W. 2009. Understanding the recession of the Holderness Coast, east Yorkshire, UK: a new presentation of temporal and spatial patterns. Quarterly Journal of Engineering Geology and Hydrogeology, 42, 165-178. https://doi.org/10.1144/1470-9236/08-032
Quinn, J.D., Rosser, N.J, Murphy, W. y Lawrence, J.A. 2010. Identifying the behavioural characteristics of clay using intensive monitoring and geotechnical numerical modelling. Geomorphology, 120, 107-122. https://doi.org/10.1016/j.geomorph.2010.03.004
Robertson, I. 1990. Erosion and Stability of Till Cliffs on the Holderness Coast. PhD Thesis, trabajo inédito. University of Newcastle Upon Tyne.
Skafel, M.G. 1995. Laboratory measurement of nearshore velocities and erosion of cohesive sediment (till) shorelines. Coastal Engineering, 24, 343-349. https://doi.org/10.1016/0378-3839(94)00030-2
Skafel, M.G. y Bishop, C.T. 1994. Flume experiments on the erosion of till shores by waves. Coastal Engineering, 23, 329-348. https://doi.org/10.1016/0378-3839(94)90009-4
Sunamura, T. 1992. The geomorphology of rocky coasts. Wiley, Chichester, 302 pp.
Thieler, E.R., Himmelstoss, E.A., Zichichi, J.L., y Ergul, A. 2009. Digital Shoreline Analysis System (DSAS) version 4.0-An ArcGIS extension for calculating shoreline change: U.S. Geological Survey Open-File Report 2008-1278. Available online at http://pubs.usgs.gov/of/2008/1278/. https://doi.org/10.3133/ofr20081278
Timoshenko, S.P. y Gere, J.M. 1978. Mechanics of materials. Van Nostrand Reinhold Co., New York, 552 pp.
Trenhaile, A.S. 1987. The geomorphology of rock coast. Clarendon Press, Oxford, 384 pp.
Trenhaile, A.S. 2009a. Modeling the erosion of cohesive clay coasts. Marine Geology, 56 (1), 59-72. https://doi.org/10.1016/j.coastaleng.2008.07.001
Trenhaile, A.S. 2009b. The effect of Holocene changes in relative sea level on the morphology of rocky coasts. Geomorphology, 114 (1-2), 30-41. https://doi.org/10.1016/j.geomorph.2009.02.003
Trenhaile, A.S. 2010. Modeling cohesive clay coast evolution and response to climate change. Marine Geology, 227 (1-4), 11-20. https://doi.org/10.1016/j.margeo.2010.08.002
Tsujimoto, H. 1987. Dynamic conditions for shore platform initiation. Science Report, Institute of Geoscience. University of Tskuba, 8A, 45-93 pp.
USACE. 2003. Coastal Engineering Manual, 6 volumes. Department of the Army, U.S. Corps of Engineers. Washington, DC.
USACE. 1984. Shore protection manual, 4th Ed. Department of the Army, U.S. Corps of Engineers. Washington, DC 20314.
Walkden, M.J.A. y Dickson, M. 2008. Equilibrium erosion on soft rock shores with shallow or absent beach under increased sea level rise. Marine Geology, 251, 75-84. https://doi.org/10.1016/j.margeo.2008.02.003
Walkden, M.J.A. y Hall, J.W. 2005. A predictive mesoscale model of the erosion and profile development on soft rock shores. Coastal Engineering, 52, 535-563. https://doi.org/10.1016/j.coastaleng.2005.02.005
Walkden, M.J.A. y Hall, J.W. 2011 A mesoscale predictive model of the evolution and management of a soft-rock coast. Journal of Coastal Research, 27(3), 529-543. https://doi.org/10.2112/JCOASTRES-D-10-00099.1
Wilcock, P.R., Miller, D.S., Shea, R.H. y Kerkin, R.T. 1998. Frequency of effective wave activity and the recession of coastal bluffs: Calvert Cliffs, Maryland. Journal of Coastal Research, 14 (1), 256-268.
Wolters, G. y Müller, G. 2008. Effect of cliff shape on internal stresses and rock slope stability. Journal of Coastal Research, 24 (1), 43-50. https://doi.org/10.2112/05-0569.1
Wyllie, D.C. y Mah, C.W. 2004. Rock slope engineering, civil and mining. 4th Ed. Spon Press, New York, 431 pp.
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Universidad Politécnica de Madrid
Grant numbers RR01/2008






