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Journal of Mountain Science

, Volume 16, Issue 6, pp 1289–1299 | Cite as

Magnitude-frequency relationship of debris flows in the Jiangjia Gully, China

  • Yan-chao Gao
  • Ning-sheng ChenEmail author
  • Gui-sheng Hu
  • Ming-feng Deng
Article

Abstract

The magnitude-frequency (MF) relationship of debris flows is the basis for engineering designs and risk quantification. However, because of the lack of debris flow monitoring data, research progress in this area has been relatively slow. The MF relationship of debris flows in Jiangjia Gully, Yunnan Province was evaluated based on a regression analysis of 178 debris flow events that occurred from 1987–2004. The magnitude-cumulative frequency (MCF) relationship of the debris flows in the Jiangjia Gully is consistent with the linear logarithmic transformation function. Moreover, observed data for debris flows in Hunshui Gully of Yunnan Province and Huoshao Gully, Liuwan Gully, and Niwan Gully of Gansu Province were used to verify the function. The results showed that the MCF relationship of high-frequency debris flows is consistent with the power law equation, although the regression coefficients in the equation are considerably different. Further analysis showed a strong correlation between the differences in the constants and the drainage area and daily maximum precipitation.

Key words

Debris flow Magnitude Cumulative frequency Drainage area Precipitation Jiangjia Gully 

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Notes

Acknowledgements

This study was supported by The National Key Research and Development Program of China (Grant No. 2018YFC1505406), the National Natural Science Foundation of China (Grant Nos. 41502337, 41671112, 41661134012, 41501012) and the China Geological Survey (Grant Nos. DD20160274, DD20190640). The observation data were recorded by the Dongchuan Debris Flow Observation and Research Station, Chinese Academy of Sciences. In addition, the authors would like to express our heartfelt gratitude to the reviewers and editors who provided valuable suggestions and helped us improve the content and presentation of the manuscript.

References

  1. Blair TC (1999) Sedimentology of the debris — flow — dominated Warm Spring Canyon alluvial fan, Death Valley, California. Sedimentology 46(5): 941–965.  https://doi.org/10.1046/j.1365-3091.1999.00260.x Google Scholar
  2. Blair TC, McPherson JG (1998) Recent debris-flow processes and resultant form and facies of the Dolomite alluvial fan, Owens Valley, California. Journal of Sedimentary Research 68(5): 800–818.  https://doi.org/10.2110/jsr.68.800 Google Scholar
  3. Bovis MJ, Jakob M (1999) The role of debris supply conditions in predicting debris flow activity. Earth Surface Processes and Landforms 24(11): 1039–1054.  https://doi.org/10.1002/(SICI)1096-9837(199910)24:11<1039::AID-ESP29>3.0.CO;2-UGoogle Scholar
  4. Chen J, He YP, Wei FQ (2005) Debris flow erosion and deposition in Jiangjia Gully, Yunnan, China. Environmental Geology 48(6): 771–777.  https://doi.org/10.1007/s00254-005-0017-z Google Scholar
  5. Chen NS, Yang CL, Zhou W, et al. (2011) A new total volume model of debris flows with intermittent surges: based on the observations at Jiangjia Valley, southwest China. Natural hazards 56(1): 37–57.  https://doi.org/10.1007/s11069-010-9548-z Google Scholar
  6. Chen NS, Zhu YH, Huang Q (2017) Mechanisms involved in triggering debris flows within a cohesive gravel soil mass on a slope: a case in SW China. Journal of Mountain Science 14(4): 611–620.  https://doi.org/10.1007/s11629-016-3882-x Google Scholar
  7. Cui P, Chen XQ, Waqng YY, Hu KH, Li Y (2005) Jiangjia Ravine debris flows in south-western China. In: Hungr O et al. (eds.), Debris-flow Hazards and Related Phenomena. Springer, Berlin, Heidelberg. pp 565–594.  https://doi.org/10.1007/3-540-27129-5_22 Google Scholar
  8. Davies TR (1990) Debris-flow surges—experimental simulation. Journal of Hydrology (New Zealand) 29(1): 18–46.  https://doi.org/10.1007/BF01182546 Google Scholar
  9. Davies TR (1986) Large debris flows: a macro-viscous phenomenon. Acta Mechanica 63(1–4): 161–178.Google Scholar
  10. Eaton LS, Morgan BA, Kochel RC, et al. (2003) Quaternary deposits and landscape evolution of the central Blue Ridge of Virginia. Geomorphology 56(1): 139–154.  https://doi.org/10.1016/S0169-555X(03)00075-8 Google Scholar
  11. Gao L, Zhang LM, Cheung RW (2018) Relationships between natural terrain landslide magnitudes and triggering rainfall based on a large landslide inventory in Hong Kong. Landslides 15:727–740.  https://doi.org/10.1007/s10346-017-0904-x Google Scholar
  12. Helsen M, Koop P, Van Steijn H (2002) Magnitude-frequency relationship for debris flows on the fan of the Chalance torrent, Valgaudemar (French Alps). Earth Surface Processes and Landforms 27(12): 1299–1307.  https://doi.org/10.1002/esp.412 Google Scholar
  13. Hungr O, McDougall S, Bovis M (2005) Entrainment of material by debris flows. In: Hungr O et al. (eds.), Debris-flow Hazards and Related Phenomena. Springer, Berlin, Heidelberg. pp 135–158.  https://doi.org/10.1007/3-540-27129-5_7 Google Scholar
  14. Hungr O, McDougall S, Wise M, Cullen M (2008) Magnitude—frequency relationships of debris flows and debris avalanches in relation to slope relief. Geomorphology 96(3): 355–365.  https://doi.org/10.1016/j.geomorph.2007.03.020 Google Scholar
  15. Iverson RM (1997) The physics of debris flows. Reviews of Geophysics 35(3): 245–296.  https://doi.org/10.1029/97RG00426 Google Scholar
  16. Jakob M (2005) A size classification for debris flows. Engineering Geology 79(3): 151–161.  https://doi.org/10.1016/j.enggeo.2005.01.006 Google Scholar
  17. Jakob M, Friele P (2010) Frequency and magnitude of debris flows on Cheekye River, British Columbia. Geomorphology 114(3): 382–395.  https://doi.org/10.1016/j.geomorph.2009.08.013 Google Scholar
  18. Johnson PA, McCuen RH, Hromadka TV (1991) Magnitude and frequency of debris flows. Journal of hydrology 123(1–2): 69–82.  https://doi.org/10.1016/0022-1694(91)90069-T Google Scholar
  19. Kang ZC, Cui P, Wei FQ, et al. (2006) Data Collection of Observation of Debris Flows in Jiangjia Ravine, Dongchuan Debris Flow Observation and Research Station (1961–1984). Science Press. pp 21–30. (In Chinese).Google Scholar
  20. Kang ZC, Cui P, Wei FQ, et al. (2007) Data Collection of Observation of Debris Flows in Jiangjia Ravine, Dongchuan Debris Flow Observation and Research Station (1995–2000). Science Press. pp 10–224. (In Chinese).Google Scholar
  21. Kang ZC, Li ZF, Ma NA, et al. (2004) Debris Fow Research in China. Science press. pp 240–248. (In Chinese).Google Scholar
  22. Li J, Yuan J, Luo DF (1983) The main features of the mudflow in Jiangjia Ravine. Geomorphology 27(3):325–341.Google Scholar
  23. Li WY, Liu C, Hong Y, et al. (2016). A public Cloud-based China’s Landslide Inventory Database (CsLID): development, zone, and spatiotemporal analysis for significant historical events, 1949–2011. Journal of Mountain Science 13(7): 1275–1285.  https://doi.org/10.1007/s11629-015-3659-7 Google Scholar
  24. Li Y, Hu KH, Yue ZQ, et al. (2004) Termination and deposition of debris-flow surge. In: Lacerda W et al. (eds) Landslides: evaluation and stabilization. Taylor and Francis, London. pp 1451–1456.Google Scholar
  25. Li Y, Kang ZC, Yue ZQ, et al. (2003) Surge waves of debris flow in Jiangjia Gully, Kunming, China. In: Picarelli L (eds) Proceedings of conference on fast slope movements prediction and prevention for risk mitigation, vol.1. Patron Ed., Bologna. pp 303–307.Google Scholar
  26. Li Y, Wang BL, Zhou XJ, (2015). Variation in grain size distribution in debris flow. Journal of Mountain Science 12(3): 682–688.  https://doi.org/10.1007/s11629-014-3351-3 Google Scholar
  27. Liu JJ, Li Y, Su PC, et al. (2008) Magnitude-frequency relations in debris flow. Environmental Geology 55(6): 1345–1354.  https://doi.org/10.1007/s00254-007-1083-1 Google Scholar
  28. Mao L, Cavalli M, Comiti F, et al. (2009) Sediment transfer processes in two Alpine catchments of contrasting morphological settings. Journal of Hydrology 364(1): 88–98.  https://doi.org/10.1016/j.jhydrol.2008.10.021 Google Scholar
  29. Marchi L, D’Agostino V (2004) Estimation of debris — flow magnitude in the Eastern Italian Alps. Earth Surface Processes and Landforms 29(2): 207–220.  https://doi.org/10.1002/esp.1027 Google Scholar
  30. McArdell BW, Bartelt P, Kowalski J (2007) Field observations of basal forces and fluid pore pressure in a debris flow. Geophysical Research Letters 34(7).  https://doi.org/10.1029/2006GL029183
  31. Ni HY, Zheng WM, Tang YQ, Xu RG, et al. (2011) Mechanism and characteristics of Wenjia gully debris flow in epicenter area of Wenchuan earthquake. Journal of Engineering Geology 19(2): 262–270.  https://doi.org/10.1007/s11069-011-9914-5 Google Scholar
  32. Rapp A, Nyberg R (1981) Alpine debris flows in northern Scandinavia. Morphology and dating by lichenometry. Geografiska Annaler. Series A. Physical Geography: 183–196.  https://doi.org/10.1080/04353676.1981.11880033
  33. Rickenmann D (1999) Empirical relationships for debris flows. Natural Hazards 19(1): 47–77.  https://doi.org/10.1023/A:1008064220727 Google Scholar
  34. Stoffel M (2010) Magnitude-frequency relationships of debris flows—A case study based on field surveys and tree-ring records. Geomorphology 116(1): 67–76.  https://doi.org/10.1016/j.geomorph.2009.10.009 Google Scholar
  35. Stoffel M, Conus D, Grichting M, et al. (2008) Unraveling the patterns of late Holocene deposition processes and channel incision on a debrisflow cone in the Swiss Alps: chronology, environment and implications for the future. Global Planet Change 60(3–4): 222–234.  https://doi.org/10.1016/j.gloplacha.2007.03.001 Google Scholar
  36. Tan WP, Wang C, Yao L (1994) Regional Fore-casting of Debris Flow and Landslide Under Rainstorm. Sichuan Science and Technology Publish House. pp 2–5. (In Chinese).Google Scholar
  37. Tang C, Zhu J, Li WL, et al. (2009) Rainfall-triggered debris flows following the Wenchuan earthquake. Bulletin of Engineering Geology and the Environment 68(2): 187–194.  https://doi.org/10.1007/s10064-009-0201-6 Google Scholar
  38. van Steijn H (1996) Debris-flow magnitude—frequency relationships for mountainous regions of Central and Northwest Europe. Geomorphology 15(3–4): 259–273.  https://doi.org/10.1016/0169-555X(95)00074-F Google Scholar
  39. Wieczorek GF, Larsen MC, Eaton LS, et al. (2001). Debris-flow and flooding hazards associated with the December 1999 storm in coastal Venezuela and strategies for mitigation.  https://doi.org/10.3133/0fr01144
  40. Yu B, Yang YH, Su YC, et al. (2010) Research on the giant debris flow hazards in Zhouqu County, Gansu Province on August 7, 2010. Journal of Engineering Geology 18(4): 437–444.  https://doi.org/10.1007/s11069-012-0395-y Google Scholar
  41. Zhang J, Xiong G (1997) Data Collection of Kinematic Observation of Debris Flows in Jiangjia Ravine, Dongchuan, Yunnan (1987–1994). Science Press. pp 20–234. (In Chinese).Google Scholar
  42. Zhang XB, Liu J (1989) Debris Flow Area in the Daying River Basin of Yunnan Province. Chendu Cartographic Publishing House Chendu. pp 86–90. (In Chinese).Google Scholar
  43. Zhou BF, Li DJ, Luo DF, et al. (1991) Guide to Prevention of Debris Flow. Science Press. pp 80–96. (In Chinese)Google Scholar

Copyright information

© Science Press, Institute of Mountain Hazards and Environment, CAS and Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Key Laboratory of Mountain Hazards and Land Surface ProcessInstitute of Mountain Hazards and Environment, CASChengduChina
  2. 2.Chengdu CenterChina Geological SurveyChengduChina
  3. 3.University of Chinese Academy of SciencesBeijingChina

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