Abstract
By utilizing the Green-Ampt infiltration equation and the infinite slope stability model, a method for analyzing shallow slope failures caused by rainfall is developed. With rainfall intensity, soil characteristics, and topography, the modified Green-Ampt infiltration equation is used to estimate the rainfall infiltration capacity and depth of infiltration in a given slope. Assigning the calculated depth of infiltration as the depth of slip surface, the factor of safety of the slope is obtained through the infinite slope stability model. A time-series visualization map of the space-time varying factor of safety is generated when the method is implemented with the aid of Geographic Information System (GIS) software. The model is applied and validated with the landslides that occurred during the October 2019 Typhoon Hagibis in Marumori, Japan. The model results show good agreement with the reported time and depths of failure, and the analysis of the spatial distribution of predicted failures yielded receiver operating characteristic-area under the curve (ROC-AUC) value of 0.90. The applicability of the model can be extended for post-analysis, real-time, or projected assessment of slope stability, depending on the nature of input rainfall data (e.g., historical, real-time, forecast, hypothetical).
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23 February 2021
A Correction to this paper has been published: https://doi.org/10.1007/s10346-021-01642-4
References
Abella EAC, Van Westen CJ (2008) Qualitative landslide suscepti- bility assessment by multicriteria analysis: a case study from san antonio del sur, guanta´namo, cuba. Geomorphol 94(3-4):453–466
Aleotti P, Chowdhury R (1999) Landslide hazard assessment: summary review and new perspectives. Bull Eng Geol Environ 58(1):21–44
Al-Hashemi HMB, Al-Amoudi OSB (2018) A review on the angle of repose of granular materials. Powder Technol 330:397–417
Andriola P, Chirico GB, De Falco M, Di Crescenzo G, Santo A (2009) A comparison between physically-based models and a semi- quantitative methodology for assessing susceptibility to flowslides triggering in pyroclastic deposits of southern italy. Geogr Fis Din Quat 32(2):213–226
Baum RL, Savage WZ, Godt JW et al (2002) Trigrs—a fortran program for transient rainfall infiltration and grid-based regional slope-stability analysis. US Geol Surv Open-File Rep 424:38
Baum, R.L., Savage, W.Z., Godt, J.W.: TRIGRS: a Fortran program for transient rainfall infiltration and grid-based regional slope-stability analysis, version 2.0. US Geological Survey Re- ston, VA (2008)
Beguería S (2006) Validation and evaluation of predictive models in hazard assessment and risk management. Nat Hazards 37(3):315–329
Cabinet Office, Government of Japan: White paper on disaster management in japan 2019. http://www.bousai.go.jp/ kaigirep/hakusho/pdf/R1_hakusho_english.pdf (2019). Accessed August 3, 2020
Carrara A, Cardinali M, Detti R, Guzzetti F, Pasqui V, Reichenbach P (1991) Gis techniques and statistical models in evaluating landslide hazard. Earth surface processes and landforms 16(5):427–445
Cervi F, Berti M, Borgatti L, Ronchetti F, Manenti F, Corsini A (2010) Comparing predictive capability of statistical and de- terministic methods for landslide susceptibility mapping: a case study in the northern apennines (reggio emilia province, italy). Landslides 7(4):433–444
Cevasco A, Pepe G, Brandolini P (2014) The influences of geological and land use settings on shallow landslides triggered by an intense rainfall event in a coastal terraced environment. Bulletin of Engi- neering Geology and the Environment 73(3):859–875
Chacón J, Irigaray C, Fernández T, El Hamdouni R (2006) Engineering geology maps: landslides and geographical information systems. Bull Eng Geol Environ 65(4):341–411
Chaithong T (2017) Analysis of extreme rainfall-induced slope failure using a rainfall infiltration-infinite slope analysis model. Int J Geomate 13(35):156–165
Chawla, N.V.: Data mining for imbalanced datasets: An overview. In: Data mining and knowledge discovery handbook, pp. 875–886. Springer (2009)
Chen L, Young MH (2006) Green-ampt infiltration model for sloping surfaces. Water Resour Res 42(7)
Cho SE (2017) Prediction of shallow landslide by surficial stability analysis considering rainfall infiltration. Eng Geol 231:126–138
Cho SE, Lee SR (2002) Evaluation of surficial stability for homogeneous slopes considering rainfall characteristics. J Geotech Geoenviron Eng 128(9):756–763
Chu ST (1978) Infiltration during an unsteady rain. Water Resour Res 14(3):461–466
Cui P, Guo Cx, Zhou Jw, Hao Mh, Xu Fg (2014) The mechanisms behind shallow failures in slopes comprised of landslide deposits. Eng Geo 180:34–44
Cui Y, Jiang Y, Guo C (2019) Investigation of the initiation of shallow failure in widely graded loose soil slopes considering interstitial flow and surface runoff. Landslides 16(4):815–828
Dai F, Lee C, Ngai YY (2002) Landslide risk assessment and management: an overview. Engineering geology 64(1):65–87
Di Napoli M, Carotenuto F, Cevasco A, Confuorto P, Di Martire D, Firpo M, Pepe G, Raso E, Calcaterra D (2020) Machine learning ensemble modelling as a tool to improve landslide sus- ceptibility mapping reliability. Landslides 17(8):1897–1914
Dietrich, W.E., Montgomery, D.R.: SHALSTAB: a digital terrain model for mapping shallow landslide potential. University of California (1998)
Fredlund D, Morgenstern NR, Widger R (1978) The shear strength of unsaturated soils. Canadian geotechnical journal 15(3):313–321
Froude MJ, Petley DN (2018) Global fatal landslide occurrence from 2004 to 2016. Nat Hazards Earth Syst Sci 18(8):2161–2181
Fujita, Y.: Geology of the kakuda district. Geol Sheet Map at 1: 50, 000 99 (1988)
Garcia Gaines RA, Frankenstein S (2015) Uscs and the usda soil classification system: development of a mapping scheme. Tech. rep. US Army Eng Res Dev Center
Geospatial Information Authority of Japan: Basic map infor- mation digital elevation model. https://fgd.gsi.go.jp/ download/mapGis.php?tab=dem. Accessed December 19, 2020a
Geospatial Information Authority of Japan: Information about the east japan typhoon 2019. https://www.gsi.go.jp/BOUSAI/ R1.taihuu19gou.html (2019). Accessed December 19, 2020b
Goetz J, Brenning A, Petschko H, Leopold P (2015) Evaluating machine learning and statistical prediction techniques for land- slide susceptibility modeling. Comput Geosci 81:1–11
Green WH, Ampt G (1911) Studies on soil physics. J Agric Sci 4(1):1–24
Guzzetti F, Carrara A, Cardinali M, Reichenbach P (1999) Landslide hazard evaluation: a review of current techniques and their application in a multi-scale study, central italy. Geomorphology 31(1-4):181–216
He H, Garcia EA (2009) Learning from imbalanced data. IEEE Trans Knowl Data Eng 21(9):1263–1284
International Soil Reference and Information Centre: Isric world soil information data hub. https://data.isric.org/ geonetwork/srv/eng/catalog.search#/home. Accessed December 19, 2020
Irasawa M, Koi T, Tsou CY, Kato N, Matsuo S, Arai M, Kaibori M, Yamada T, Kasai M, Wakahara T et al (2020) October 2019 sediment disaster in the tohoku region owing to typhoon no. 19 (tyhpoon hagibis). Int J Erosion Control Eng 13(2):48–55
Iverson RM (2000) Landslide triggering by rain infiltration. Water Resour Res 36(7):1897–1910
Japan Meteorological Agency: Amedas past weather data search. http://www.data.jma.go.jp/obd/stats/etrn/index.php (2019). Accessed December 19, 2020
Jiang SH, Li DQ, Zhang LM, Zhou CB (2014) Slope reliability analysis considering spatially variable shear strength parameters using a non-intrusive stochastic finite element method. Engineer- ing Geology 168:120–128
Kale RV, Sahoo B (2011) Green-ampt infiltration models for varied field conditions: A revisit. Water Resour Manag 25(14):3505
Kawagoe S, Kazama S, Sarukkalige PR (2010) Probabilistic modelling of rainfall induced landslide hazard assessment. Hydrology and Earth System Sciences 14(6):1047–1061
Komori D, Rangsiwanichpong P, Inoue N, Ono K, Watanabe S, Kazama S (2018) Distributed probability of slope failure in thailand under climate change. Clim Risk Manag 20:126–137
Kubo K, Yamamoto T (1990) Cretaceous intrusive rocks of the haramachi district, eastern margin of the abukuma mountains- petrography and k-ar age. J. Geol Soc Japan 96:731–743
Kubo K, Yanagisawa Y, Yamamoto T, Komazawa M, Hiroshima T, Sudo S (2003) Geological map of japan 1: 200,000, fukushima. Geol Surv Jpn
Liu G, Craig JR, Soulis ED (2011) Applicability of the green-ampt infiltration model with shallow boundary conditions. J Hydrol Eng 16(3):266–273
Lombardo, L., Opitz, T., Ardizzone, F., Guzzetti, F., Huser, R.: Space-time landslide predictive modelling. Earth-Science Reviews p. 103318 (2020)
Maidment, D.R., et al.: Handbook of hydrology, vol. 9780070. McGraw-Hill New York (1993)
Mein RG, Larson CL (1973) Modeling infiltration during a steady rain. Water Resour Res 9(2):384–394
Meisina C, Scarabelli S (2007) A comparative analysis of terrain stability models for predicting shallow landslides in colluvial soils. Geomorphology 87(3):207–223
Michel GP, Kobiyama M, Goerl RF (2014) Comparative analysis of shalstab and sinmap for landslide susceptibility mapping in the cunha river basin, southern brazil. J Soils Sediments 14(7):1266–1277
Ministry of Land, Infrastructure, Transport and Tourism: Press release: Number of sediment disasters for 2019. https:// www.mlit.go.jp/report/press/content/001334184.pdf (2020). Accessed August 3, 2020
Montgomery DR, Dietrich WE (1994) A physically based model for the topographic control on shallow landsliding. Water Resour Res 30(4):1153–1171
Montrasio L, Valentino R (2008) A model for triggering mechanisms of shallow landslides. Nat Hazards Earth Syst Sci 8(5):1149–1159
Montrasio L, Valentino R, Losi G (2011) Towards a real-time sus- ceptibility assessment of rainfall-induced shallow landslides on a regional scale. Nat Hazards Earth Syst Sci 11(7):1927–1947
Muntohar AS, Liao HJ (2010) Rainfall infiltration: infinite slope model for landslides triggering by rainstorm. Nat hazards 54(3):967–984
Ochiai, T., Ueno, S., Inagaki, H., Suzuki, M., Yoshikawa, S., Matugi, H.: Findings (2) of the slope disaster caused by ty- phoon no.19 of october, 2019. disaster caused by river erosion of marumorimachi,igu-gun, miyagi. The 55th Geotechnical Re- search Conference, Japanese Geotechnical Society (2020)
Ogden FL, Saghafian B (1997) Green and ampt infiltration with redis- tribution. J Irrig Drain Eng 123(5):386–393
Pack RT, Tarboton DG (1998) Goodwin. C.N, The sinmap approach to terrain stability mapping
Rawls WJ, Brakensiek DL, Saxtonn K (1982) Estimation of soil wa- ter properties. Trans ASAE 25(5):1316–1320
Rawls WJ, Brakensiek DL, Miller N (1983) Green-ampt infiltra- tion parameters from soils data. J Hydraul Eng 109(1):62–70
Richards LA (1931) Capillary conduction of liquids through porous mediums. Phys 1(5):318–333
Rossi G, Catani F, Leoni L, Segoni S, Tofani V (2013) Hiresss: a physically based slope stability simulator for hpc applications. Nat Hazards Earth Syst Sci 13(1):151–166
Segoni S, Leoni L, Benedetti A, Catani F, Righini G, Falorni G, Gabellani S, Rudari R, Silvestro F, Rebora N (2009) Towards a definition of a real-time forecasting network for rain- fall induced shallow landslides. Nat Hazards Earth Syst Sci 9(6):2119–2133
Simoni S, Zanotti F, Bertoldi G, Rigon R (2008) Modelling the probability of occurrence of shallow landslides and channelized debris flows using geotop-fs. Hydrol Process: An Int J 22(4):532–545
Soeters R, Van Westen C (1996) Slope instability recognition, analysis and zonation. Landslides: Investig Mitig 247:129–177
Sorbino G, Sica C, Cascini L (2010) Susceptibility analysis of shal- low landslides source areas using physically based models. Nat Hazards 53(2):313–332
Takara K, Yamashiki Y, Sassa K, Ibrahim AB, Fukuoka H et al (2010) A distributed hydrological–geotechnical model using satellite-derived rainfall estimates for shallow landslide prediction system at a catchment scale. Landslides 7(3):237–258
Te Chow V (2010) Applied hydrology. Tata McGraw-Hill Education
Tofani V, Bicocchi G, Rossi G, Segoni S, D’Ambrosio M, Casagli N, Catani F (2017) Soil characterization for shallow landslides modeling: a case study in the northern apennines (central italy). Landslides 14(2):755–770
Tsuchiya N, Kimura JI, Kagami H (2007) Petrogenesis of early cretaceous adakitic granites from the kitakami mountains, japan. J Volcanol Geotherm Res 167(1-4):134–159
Tsuchiya N, Takeda T, Tani K, Adachi T, Nakano N, Osanai Y, Kimura JI (2014) Zircon u–pb age and its geological significance of late carboniferous and early cretaceous adakitic granites from eastern margin of the abukuma mountains, japan. J Geol Soc Jpn 120(2):37–51
Tsutsumi, Y., Ohtomo, Y., Horie, K., Nakamura, K.i., Yokoyama, K.: Granitoids with 300 ma in the joban coastal region, east of abukuma plateau, northeast japan. J Mineral Petrol Sci pp. 1005260146–1005260146 (2010)
Van Westen C, Seijmonsbergen A, Mantovani F (1999) Comparing landslide hazard maps. Nat Hazards 20(2-3):137–158
Van Westen C, Rengers N, Soeters R (2003) Use of geomorpholog- ical information in indirect landslide susceptibility assessment. Natural hazards 30(3):399–419
Whisler FD, Bouwer H (1970) Comparison of methods for calculating vertical drainage and infiltration for soils. J Hydrol 10(1):1–19
Xie M, Esaki T, Cai M (2004) A time-space based approach for map- ping rainfall-induced shallow landslide hazard. Environ Geol 46(6-7):840–850
Yoshikawa, S., Suzuki, M., , Ueno, S., Inagaki, H., Ochiai, T., Matugi, H.: Findings (1) of the slope disaster caused by typhoon no.19 of october, 2019. the general gamage gondition of maru- morimachi, igu-gun, miyagi. The 55th Geotechnical Research Conference, Japanese Geotechnical Society (2020)
Young, R., Farrar, J., Howard, A.: Earth Manual Part 1, 3 edn. US Government Printing Office (1998). U.S. Department of the Interior Bureau of Reclamation
Zizioli D, Meisina C, Valentino R, Montrasio L (2013) Comparison between different approaches to modeling shallow landslide sus- ceptibility: a case history in oltrepo pavese, northern italy. Nat Hazards Earth Syst Sci 13(3):559–573
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Dolojan, N.L.J., Moriguchi, S., Hashimoto, M. et al. Mapping method of rainfall-induced landslide hazards by infiltration and slope stability analysis. Landslides 18, 2039–2057 (2021). https://doi.org/10.1007/s10346-020-01617-x
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DOI: https://doi.org/10.1007/s10346-020-01617-x