Abstract
Landslide forecasting is one of the emerging frontier topics in geotechnical engineering because of its need to deal with both abrupt change and complexity. Based on previous investigation and our experience with Saito’s method, an improved Saito curve was drawn with four stages corresponding to the displacement process of the position on the back of the landslide. The equations and curves of displacement, rate, and acceleration, along with the landslide time forecast model, were all based on the improved Saito method. The Verhulst-Grey model that is used to calculate the parameters of the landslide time forecast model was established on the basis of displacement monitoring data. Finally, the precision of the improved Saito method was verified using the landslide monitoring data of a mining slope and a natural slope. The results show that the improved Saito method is both reliable and economical to use for landslide forecasting.
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References
Angeli MG, Gasparetto P, Menotti RM et al (1996) A visco-plastic model for slope analysis applied to a mudslide in Cortina d’Ampezzo, Italy. Q J Eng Geo Hydroge 29:233–240. doi:10.1144/GSL.QJEGH.1996.029.P3.06
Baum RL, Savage WZ, Godt JW (2008) TRIGRS—A Fortran Program for transient rainfall infiltration and grid-based regional slope-stability analysis, version 2.0. US Geological Survey Open-File Report 2008–1159
Brawner CO, Stacey PF (1979) Chapter 21—Hogarth pit slope failure, Ontario, Canada. Dev Geotech Eng 14(Part B):691–707. doi:10.1016/B978-0-444-41508-0.50029-6
Calvello M, Cascini L, Sorbino G (2008) A numerical procedure for predicting rainfall-induced movements of active landslides along pre-existing slip surfaces. Int J Numer Anal Met 32:327–351. doi:10.1002/nag.624
Corominas J, Moya J, Ledesma A et al (2005) Prediction of ground displacement and velocities from ground water level changes at the Vallcebre landslide (Eastern Pyrenees, Spain). Landslides 2(2):83–96. doi:10.1007/s10346-005-0049-1
Deng J (1989) Introduction to Grey system theory. J Grey Syst-UK 1(1):1–24. doi:10.1007/978-3-642-16158-2_1
Deng J (2005) Grey modeling resource theory and GM(1,1,bk). J Grey Syst-UK 17(3):201–206
Desai CS, Samtani NC, Vulliet L (1995) Constitutive modeling and analysis of creeping slopes. J Geotech Eng 121(1):43–56. doi:10.1061/(ASCE)0733-9410(1995)121:1(43)
Fredlund DG, Morgenstern NR (1977) Stress state variables for unsaturated soils. J Geotech Geoenviron 103(GT5):447–466
Fredlund DG, Xing A (1994) Equations for the soil-water characteristic curve. Can Geotech J 31(4):521–532. doi:10.1139/t94-061
Fredlund DG, Morgenstern NR, Widger RA (1978) The shear strength of unsaturated soils. Can Geotech J 15(3):313–321. doi:10.1139/t78-029
Gutierrez MR, Reyes MA, Rosu HC (2010) A note on Verhulst’s logistic equation and related logistic maps. J Phys A-Math Theor 43(20):1–5. doi:10.1088/1751-8113/43/20/205204
He K, Bai J, Wang S (2005) Analysis of displacement dynamic features of colluvial landslide induced by rainfall. Rock Soil Mech 26(5):705–709
He X, Wang S, Xiao R et al (2013) Improvement of Verhulst forecast model of landslide and its application. Rock Soil Mech 34(S1):355–364
Iverson RM (2000) Landslide triggering by rain infiltration. Water Resour Res 36(7):1897–1910. doi:10.1029/2000WR900090
Jibson RW (2007) Regression models for estimating coseismic landslide displacement. Eng Geol 91(2–4):209–218. doi:10.1016/j.enggeo.2007.01.013
Kokusho T, Ishizawa T (2007) Energy approach to earthquake-induced slope failures and its implications. J Geotech Geoenviron 133(7):828–840. doi:10.1061/(ASCE)1090-0241(2007)133:7(828)
Maugeri M, Motta E, Raciti E (2006) Mathematical modelling of the landslide occurred at Gagliano Castelferrato (Italy). Nat Hazard Earth Sys 6(1):133–143. doi:10.5194/nhess-6-133-2006
Mercogliano P, Segoni S, Rossi G (2013) A prototype forecasting chain for rainfall induced shallow landslides. Nat Hazard Earth Sys 13(3):771–777. doi:10.5194/nhess-13-771-2013
Miao S (2006) Study on deformation and failure prediction of slope with complicated rock mass. Dissertation. University of Science and Technology Beijing, Beijing
Miao S, Li J, Wang K (2005) Discussion about the method of calculating foundation settlement of high-rise buildings. Build Struct 35(5):50–51
Montrasio L, Valentino R, Corina A et al (2014) A prototype system for space–time assessment of rainfall-induced shallow landslides in Italy. Nat Hazards 74(2):1263–1290. doi:10.1007/s11069-014-1239-8
Qin S (2005) Nonlinear evolutionary mechanisms and physical prediction of instability of planar-slip slope. Chinese J Geotech Eng 27(11):1241–1248
Romeo R (2000) Seismically induced landslide displacements: a predictive model. Eng Geol 58(3–4):337–351. doi:10.1016/S0013-7952(00)00042-9
Saito M (1969) Research on forecasting the time of occurrence of slope failure. Soil Mech Found Eng 17(2):29–38
Shan X, Ye H, Lee CF et al (2002) Prediction method of dangerous areas of regional landslide based on GIS and its application. Chinese J Rock Mech Eng 21(10):1507–1514
Terzaghi K (1936) The shearing resistance of saturated soils and the angle between the planes of shear. In: Proceedings of the 1st international conference on soil mechanics and foundation engineering. Harvard University Press, Cambridge, pp 54–56
Thiebes B, Bell R, Glade T et al (2014) Integration of a limit-equilibrium model into a landslide early warning system. Landslides 11(5):859–875. doi:10.1007/s10346-013-0416-2
Van Asch TWJ, Van Beek LPH, Bogaard TA (2007) Problems in predicting the mobility of slow-moving landslides. Eng Geol 91(1):46–55. doi:10.1016/j.enggeo.2006.12.012
Vulliet L, Hutter K (1988) Viscous-type sliding laws for landslides. Can Geotech J 25(3):467–477. doi:10.1016/0148-9062(89)90300-8
Xu F, Wang Y, Du J et al (2011) Study of displacement prediction model of landslide based on time series analysis. Chinese J Rock Mech Eng 30(4):746–751
Yan T, Yang T, Fang Y (2000) Landslidology. China University of Geosciences Press, Wuhan
Acknowledgements
This research is financially supported by the National Natural Science Foundation of China (No. 51574014 and No. 51534002) and National Key Basic Research Program of China (973 Program) (No. 2015CB060200), Beijing Higher Education Young Elite Teacher Project (No. YETP0341).
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Miao, S., Hao, X., Guo, X. et al. Displacement and landslide forecast based on an improved version of Saito’s method together with the Verhulst-Grey model. Arab J Geosci 10, 53 (2017). https://doi.org/10.1007/s12517-017-2838-y
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DOI: https://doi.org/10.1007/s12517-017-2838-y