Paper:
FEM-Based Seismic Response Analysis of Landslide Occurrence Areas in the 2024 Noto Peninsula Earthquake
Yuanying Li*,
, Haruka Iino**, Sota Saito*, and Akihiko Wakai*

*Department of Environmental Engineering Science, Gunma University
1-5-1 Tenjincho, Kiryu, Gunma 376-8515, Japan
Corresponding author
**Program of Civil and Environmental Engineering, Gunma University
Kiryu, Japan
At 16:10 (JST) on January 1, 2024, a magnitude Mj 7.6 earthquake struck the northern Noto Peninsula, Japan. The earthquake caused intense ground shaking, with the peak ground acceleration (PGA) reaching 2,828 gal, which is one of the highest values ever recorded. Over 2,300 landslides were triggered, causing severe damage to infrastructure. The Noto Peninsula has long been vulnerable to significant seismic activity and has experienced a sustained seismic swarm from November 2020 to May 2023, during which at least 20,000 earthquakes with magnitudes of Mj≥1.0 were recorded. In mountainous areas, earthquakes are often accompanied by coseismic landslides. Owing to the frequent seismic swarm activity in the Noto Peninsula, long-term vigilance is essential to mitigate the hazards of earthquake-induced landslides and related secondary disasters. This study focuses on the Okubo District of Wajima City, Ishikawa Prefecture, which experienced a high concentration of landslides during the earthquake, including the largest observed landslide. A 3D dynamic elastoplastic finite element method was applied to simulate seismic ground responses and reassess the landslides triggered by the earthquake. The simulation emphasizes the spatial distribution of shear stress and PGA during seismic loading. Comparing the simulation results with the observed landslide inventory reveals that zones of elevated shear stress and PGA generally correspond to documented landslide locations. These findings suggest that the proposed numerical modeling approach can effectively identify potentially high-hazard slopes over a wide area, thereby supporting the development of a landslide-susceptibility map for the earthquake-prone Noto Peninsula.
- [1] National Research Institute for Earth Science and Disaster Resilience (NIED), “Strong ground motion caused by the January 1, 2024 (Reiwa 6) Noto Peninsula earthquake,” 2024 (in Japanese). https://www.kyoshin.bosai.go.jp/kyoshin/topics/html20240101160813/main_20240101160813.html [Accessed July 20, 2024]
- [2] Geospatial Information Authority of Japan (GSI), “Coastline change caused by the 2024 Noto Peninsula earthquake detected by ALOS-2 SAR satellite image (Jan. 4, 2024),” 2024. https://www.gsi.go.jp/uchusokuchi/uchusokuchi-e31001.html [Accessed July 20, 2024]
- [3] Z. Ma et al., “Slow rupture in a fluid-rich fault zone initiated the 2024 Mw 7.5 Noto earthquake,” Science, Vol.385, No.6711, pp. 866-871, 2024. https://doi.org/10.1126/science.ado5143
- [4] GSI, “Data regarding the Reiwa 6 (2024) Noto Peninsula earthquake,” 2024 (in Japanese). https://www.gsi.go.jp/BOUSAI/20240101_noto_earthquake.html [Accessed July 20, 2024]
- [5] H. Tsunetaka, W. Murakami, and H. Daimaru, “Shoreline advance due to the 2024 Noto Peninsula earthquake,” Scientific Reports, Vol.14, Article No.28026, 2024. https://doi.org/10.1038/s41598-024-79044-4
- [6] D. H. Loi et al., “Landslides triggered by the 2024 Noto Peninsula earthquake,” Landslides, Vol.21, No.10, pp. 2583-2590, 2024. https://doi.org/10.1007/s10346-024-02333-6
- [7] Headquarters for Earthquake Research Promotion, “Evaluation of the Reiwa 6 Noto Peninsula earthquake,” 2024 (in Japanese). https://www.static.jishin.go.jp/resource/monthly/2024/20240101_noto_3.pdf [Accessed July 20, 2024]
- [8] H. Ohno et al., “Sediment-related disasters induced by the Noto Peninsula earthquake in January 2024,” Int. J. of Erosion Control Engineering, Vol.17, No.4, pp. 42-50, 2024. https://doi.org/10.13101/ijece.17.42
- [9] Y. Fujii and K. Satake, “Slip distribution of the 2024 Noto Peninsula earthquake (MJMA 7.6) estimated from tsunami waveforms and GNSS data,” Earth, Planets and Space, Vol.76, Article No.44, 2024. https://doi.org/10.1186/s40623-024-01991-z
- [10] J. Nakajima, “Crustal structure beneath earthquake swarm in the Noto peninsula, Japan,” Earth, Planets and Space, Vol.74, Article No.160, 2022. https://doi.org/10.1186/s40623-022-01719-x
- [11] Research Institute of Earthquake and Volcano Geology, National Institute of Advanced Industrial Science and Technology (AIST), “Active fault database of Japan,” https://gbank.gsj.jp/activefault/index [Accessed August 23, 2024]
- [12] R. Okuwaki, Y. Yagi, A. Murakami, and Y. Fukahata, “A multiplex rupture sequence under complex fault network due to preceding earthquake swarms during the 2024 Mw 7.5 Noto Peninsula, Japan, earthquake,” Geophysical Research Letters, Vol.51, No.11, Article No.e2024GL109224, 2024. https://doi.org/10.1029/2024GL109224
- [13] H. Sato, “The relationship between Late Cenozoic tectonic events and stress field and basin development in northeast Japan,” J. of Geophysical Research: Solid Earth, Vol.99, No.B11, pp. 22261-22274, 1994. https://doi.org/10.1029/94JB00854
- [14] Y. Okamura, M. Watanabe, R. Morijiri, and M. Satoh, “Rifting and basin inversion in the eastern margin of the Japan Sea,” Island Arc, Vol.4, No.3, pp. 166-181, 1995. https://doi.org/10.1111/j.1440-1738.1995.tb00141.x
- [15] Ishikawa Prefecture, “Record of the 2007 Noto Peninsula earthquake disaster,” 2009 (in Japanese). https://www.pref.ishikawa.lg.jp/bousai/bousai_g/notohanto_eq/kirokushi/ [Accessed May 16, 2025]
- [16] Y. Amezawa, Y. Hiramatsu, A. Miyakawa, K. Imanishi, and M. Otsubo, “Long-living earthquake swarm and intermittent seismicity in the northeastern tip of the Noto Peninsula, Japan,” Geophysical Research Letters, Vol.50, No.8, Article No.e2022GL102670, 2023. https://doi.org/10.1029/2022GL102670
- [17] A. Kato, “Implications of fault-valve behavior from immediate aftershocks following the 2023 Mj6.5 earthquake beneath the Noto Peninsula, central Japan,” Geophysical Research Letters, Vol.51, No.1, Article No.e2023GL106444, 2024. https://doi.org/10.1029/2023GL106444
- [18] A. Wakai et al., “Large-area damage prediction system based on finite element method for risk assessment of seismic slope failure in mountains area,” J. of the Japan Landslide Society, Vol.45, No.3, pp. 207-218, 2008 (in Japanese). https://doi.org/10.3313/jls.45.207
- [19] A. Wakai, T. Watanabe, H. Kawabata, and K. Shindo, “Fundamental research for the development of a wide-area FEM seismic intensity prediction system for mountainous areas that does not require the construction of an advanced computing environment,” Proc. of the 2nd Geotechnical Engineering Society of Japan Kanto Branch Meeting (Geo-Kanto 2005), pp. 145-148, 2005 (in Japanese).
- [20] Japanese Geotechnical Society, “Understanding the elasto-plastic finite element method (FEM series for geotechnical engineers 2),” pp. 23-24, 2003 (in Japanese).
- [21] D. V. Griffiths and J. H. Prevost, “Two- and three-dimensional dynamic finite element analyses of the Long Valley Dam,” Géotechnique, Vol.38, No.3, pp. 367-388, 1988. https://doi.org/10.1680/geot.1988.38.3.367
- [22] A. Anandarajah, H. Rashidi, and K. Arulanandan, “Elasto-plastic finite element analyses of a soil-structure system under earthquake excitations,” Computers and Geotechnics, Vol.17, No.3, pp. 301-325, 1995. https://doi.org/10.1016/0266-352X(95)99215-D
- [23] A. Wakai, K. Ugai, A. Onoue, K. Higuchi, and S. Kuroda, “Finite element simulation for collapse of dip slope during earthquake induced by strain-softening behavior of bedding plane,” J. of the Japan Landslide Society, Vol.44, No.3, pp. 145-155, 2007 (in Japanese). https://doi.org/10.3313/jls.44.145
- [24] A. Wakai, D. Higaki, H. Yagi, G. Sato, and M. Chigira, “Finite element simulation for seismic ground response in mountainous areas in Nepal,” Advancing Culture of Living with Landslides: Vol.4, Diversity of Landslide Forms, pp. 67-74, 2017. https://doi.org/10.1007/978-3-319-53485-5_8
- [25] Y. Mi, J. Wang, X. Cheng, and X. Yan, “Numerical modelling for dynamic instability process of submarine soft clay slopes under seismic loading,” J. of Ocean University of China, Vol.20, No.5, pp. 1109-1120, 2021. https://doi.org/10.1007/s11802-021-4701-8
- [26] A. Wakai and K. Ugai, “A simple constitutive model for the seismic analysis of slopes and its applications,” Soils and Foundations, Vol.44, No.4, pp. 83-97, 2004. https://doi.org/10.3208/sandf.44.4_83
- [27] B. O. Hardin and V. P. Drnevich, “Shear modulus and damping in soils: Design equations and curves,” J. of the Soil Mechanics and Foundations Division, Vol.98, No.7, pp. 667-698, 1972. https://doi.org/10.1061/JSFEAQ.0001760
- [28] K. Ishihara, “Fundamentals of soil dynamics,” Kajima Institute Publishing Co., Ltd., 1976 (in Japanese).
- [29] H. Takahashi and R. Kimura, “The 2018 Hokkaido Eastern Iburi earthquake and its aftermath,” J. Disaster Res., Vol.14, Sci. Comm., Article No.sc20190112, 2019. https://doi.org/10.20965/jdr.2019.sc20190112
- [30] C. Gomez and N. Hotta, “Deposits’ morphology of the 2018 Hokkaido Iburi-Tobu earthquake mass movements from LiDAR & aerial photographs,” Remote Sensing, Vol.13, No.17, Article No.3421, 2021. https://doi.org/10.3390/rs13173421
- [31] Ishikawa Prefecture, “Damage and other situational details of the 2024 Noto Peninsula earthquake (Crisis Management Office),” 2024 (in Japanese). https://www.pref.ishikawa.lg.jp/saigai/documents/higaihou_114_0326_1400.pdf [Accessed July 26, 2024]
- [32] C. Gomez, “The January 1st 2024 Noto Peninsula co-seismic landslides hazards: Preliminary results,” Research Square (Preprint), 2024. https://doi.org/10.21203/rs.3.rs-3904468/v1
- [33] Geological Survey of Japan, AIST, “Geological map of Japan 1:200,000.” https://www.gsj.jp/Map/EN/geology2-4.html#Wajima [Accessed August 23, 2024]
- [34] S. Tanaka, A. Wakai, K. Shindo, and K. Ito, “Soil constants and their sensitivity analysis for seismic intensity prediction in the Chuetsu area,” Proc. of the 45th Annual Meeting of the Japan Landslide Society, pp. 293-296, 2006 (in Japanese).
- [35] B. O. Hardin and F. E. Richart, “Elastic wave velocities in granular soils,” J. of the Soil Mechanics and Foundations Division, Vol.89, No.1, pp. 33-65, 1963. https://doi.org/10.1061/JSFEAQ.0000493
- [36] NIED, “YMTH15 borehole log,” (in Japanese). https://www.kyoshin.bosai.go.jp/cgi-bin/kyoshin/db/siteimage.cgi?0+/YMTH15+kik+pdf [Accessed July 5, 2024]
- [37] NIED, “ISKH02 borehole log,” (in Japanese). https://www.kyoshin.bosai.go.jp/cgi-bin/kyoshin/db/siteimage.cgi?0+/ISKH02+kik+pdf [Accessed July 5, 2024]
- [38] G. Gazetas, E. Garini, I. Anastasopoulos, and T. Georgarakos, “Effects of near-fault ground shaking on sliding systems,” J. of Geotechnical and Geoenvironmental Engineering, Vol.135, No.12, pp. 1906-1921, 2009. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000174
- [39] S. K. Sarma and M. R. Scorer, “The effect of vertical accelerations on seismic slope stability,” Proc. of the Int. Conf. on Performance-Based Design in Earthquake Geotechnical Engineering, 2009.
- [40] A. L. Simonelli and P. Di Stefano, “Effects of vertical seismic accelerations on slope displacements,” 4th Int. Conf. on Recent Advances in Geotechnical Earthquake Engineering and Soil Dynamics, Article No.5.34, 2001. https://scholarsmine.mst.edu/icrageesd/04icrageesd/session05/23 [Accessed May 16, 2025]
- [41] Q. Xu, S. Zhang, and X. J. Dong, “Genetic types of large-scale landslides induced by the Wenchuan earthquake,” Earthquake-Induced Landslides: Proc. of the Int. Symp. on Eartuqhake-Induced Landslides, pp. 511-520, 2013. https://doi.org/10.1007/978-3-642-32238-9_54
- [42] Y. Zhang, “Earthquake-induced landslides: Initiation and run-out analysis by considering vertical seismic loading, tension failure and the trampoline effect,” Springer, 2018. https://doi.org/10.1007/978-981-10-2935-6
- [43] J. D. Bray and J. Macedo, “Procedure for estimating shear-induced seismic slope displacement for shallow crustal earthquakes,” J. of Geotechnical and Geoenvironmental Engineering, Vol.145, No.12, Article No.04019106, 2019. https://doi.org/10.1061/(ASCE)GT.1943-5606.0002143
- [44] M. Paz, “International handbook of earthquake engineering: Codes, programs, and examples,” Springer, 1994. https://doi.org/10.1007/978-1-4615-2069-6
- [45] NIED, “ISKH01 borehole log,” (in Japanese). https://www.kyoshin.bosai.go.jp/cgi-bin/kyoshin/db/siteimage.cgi?0+ISKH01+kik+pdf [Accessed July 5, 2024]
- [46] H. Si and S. Midorikawa, “New attenuation relationships for peak ground acceleration and velocity considering effects of fault type and site condition,” J. of Structural and Construction Engineering (Trans. of AIJ), Vol.64, No.523, pp. 63-70, 1999 (in Japanese). https://doi.org/10.3130/aijs.64.63_2
- [47] J.-F. Semblat, A.-M. Duval, and P. Dangla, “Numerical analysis of seismic wave amplification in Nice (France) and comparisons with experiments,” Soil Dynamics and Earthquake Engineering, Vol.19, No.5, pp. 347-362, 2000. https://doi.org/10.1016/S0267-7261(00)00016-6
- [48] H. Yamanaka et al., “Estimation of S-wave velocity profiles and site amplification around the K-NET Tsukidate Station, Miyagi Prefecture, with reference to large PGA during the 2011 off Pacific Coast of Tohoku earthquake, Japan,” J. Disaster Res., Vol.7, No.6, pp. 682-692, 2012. https://doi.org/10.20965/jdr.2012.p0682
- [49] X. An, A. A. Shawky, and K. Maekawa, “The collapse mechanism of a subway station during the Great Hanshin earthquake,” Cement and Concrete Composites, Vol.19, No.3, pp. 241-257, 1997. https://doi.org/10.1016/S0958-9465(97)00014-0
- [50] A. J. Rosakis, O. Samudrala, and D. Coker, “Cracks faster than the shear wave speed,” Science, Vol.284, No.5418, pp. 1337-1340, 1999. https://doi.org/10.1126/science.284.5418.1337
- [51] G. Shoji and T. Nakamura, “Development of damage functions on road infrastructures subjected to extreme ground excitations by analyzing damage in the 2011 off the Pacific Coast of Tohoku earthquake,” J. Disaster Res., Vol.9, No.2, pp. 121-127, 2014. https://doi.org/10.20965/jdr.2014.p0121
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