Abstract
Debris flow velocities are commonly back-calculated from superelevation events which require subjective estimates of radii of curvature of bends in the debris flow channel or predicted using flow equations that require the selection of appropriate rheological models and material property inputs. This research investigated difficulties associated with the use of these conventional velocity estimation methods. Radii of curvature estimates were found to vary with the extent of the channel investigated and with the scale of the media used, and back-calculated velocities varied among different investigated locations along a channel. Distinct populations of Bingham properties were found to exist between those measured by laboratory tests and those back-calculated from field data; thus, laboratory-obtained values would not be representative of field-scale debris flow behavior. To avoid these difficulties with conventional methods, a new preliminary velocity estimation method is presented that statistically relates flow velocity to the channel slope and the flow depth. This method presents ranges of reasonable velocity predictions based on 30 previously measured velocities.
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References
Apmann RP (1973) Estimating discharge from superelevation in bends. J Hydraul Div 99:65–79
Arattano M (2003) Monitoring the presence of the debris-flow front and its velocity through ground vibration detectors. In: Rickenmann D, Chen C-L (eds) Debris-flow hazards mitigation: mechanics, prediction, and assessment. Proceedings of the third international conference. Millpress, Rotterdam, pp 719–730
Arattano M, Grattoni P (2000) Using a fixed video camera to measure debris-flow surface velocity. In: Wieczorek GF, Naeser ND (eds) Debris-flow hazards mitigation: mechanics, prediction, and assessment. Proceedings of the second international conference. AA Balkema, Rotterdam, pp 273–281
Arattano M, Deganutti AM, Marchi L (1997) Debris flow monitoring activities in an instrumented watershed on the Italian Alps. In: Chen C-L (ed) Debris-flow hazards mitigation: mechanics, prediction, and assessment. Proceedings of the first international conference. ASCE, New York, pp 506–515
Bertolo P, Wieczorek GF (2005) Calibration of numerical models for small debris flows in Yosemite Valley, California, USA. Nat Hazards Earth Syst Sci 5:993–1001
Chen C-L (1987) Comprehensive review of debris flow modeling concepts in Japan. In: Costa JE, Wieczorek GF (eds) Reviews in engineering geology, vol VII. Debris flows/avalanches: process, recognition, and mitigation. The Geological Society of America, Boulder, CO, pp 13–29
Chou HT, Liao WM, Lin ML (2000) Landslide induced debris-flow at a dump site. In: Wieczorek GF, Naeser ND (eds) Debris-flow hazards mitigation: mechanics, prediction, and assessment. Proceedings of the second international conference. AA Balkema, Rotterdam, pp 157–160
Chow VT (1959) Open-channel hydraulics. McGraw-Hill, New York
Costa JE (1984) Physical geomorphology of debris flows. In: Costa JE, Fleisher PJ (eds) Developments and applications of geomorphology. Springer, Berlin, pp 268–317
Cui P, Chen X, Waqng Y, Hu K, Li Y (2005) Jiangjia Ravine debris flows in south-western China. In: Jakob M, Hungr O (eds) Debris-flow hazards and related phenomena. Praxis, Chichester, pp 565–594
Curry RR (1966) Observation of alpine mudflows in the Tenmile Range, central Colorado. Geol Soc Amer Bull 77:771–776
DeGraff JV (1997) Geologic investigation of the Pilot Ridge debris flow, Groveland Ranger District, Stanislaus National Forest. United States Department of Agriculture Forest Service FS-6200-7 (10/73)
Dibblee TW Jr (2003a) Geologic map of the Cajon Quadrangle, San Bernardino County, California. Dibblee geology center map #DF-104. Santa Barbara Museum of Natural History, Santa Barbara, California
Dibblee TW Jr (2003b) Geologic map of the Devore Quadrangle, San Bernardino County, California. Dibblee geology center map #DF-105. Santa Barbara Museum of Natural History, Santa Barbara, California
Gartner JE (2005) Relations between wildfire related debris-flow volumes and basin morphology, burn severity, material properties and triggering storm rainfall. Master of Arts thesis, University of Colorado Department of Geography
Genevois R, Tecca PR, Berti M, Simoni A (2000) Debris-flows in the dolomites: experimental data from a monitoring system. In: Wieczorek GF, Naeser ND (eds) Debris-flow hazards mitigation: mechanics, prediction, and assessment. Proceedings of the second international conference. AA Balkema, Rotterdam, pp 283–291
Hamilton D, Zhang S (1997) Velocity profile assessment for debris flow hazards. In: Chen C-L (ed) Debris-flow hazards mitigation: mechanics, prediction, and assessment. Proceedings of the first international conference. ASCE, New York, pp 474–483
Henderson FM (1966) Open channel flow. Macmillan, New York
Hungr O, Morgan GC, Kellerhals R (1984) Quantitative analysis of debris torrent hazards for design of remedial measures. Can Geotech J 21:663–677
Iverson RM (1997) The physics of debris flows. Rev Geophys 35:245–296
Iverson RM (2003) The debris-flow rheology myth. In: Rickenmann D, Chen C-L (eds) Debris-flow hazards mitigation: mechanics, prediction, and assessment. Proceedings of the third international conference. Millpress, Rotterdam, pp 303–314
Iverson RM, LaHusen RG, Major JJ, Zimmerman CL (1994) Debris flow against obstacles and bends: dynamics and deposits. EOS Trans Am Geophys Union 75:274
Jackson LE Jr (1979) A catastrophic glacial outburst flood (jökulhlaup) mechanism for debris flow generation at the Spiral Tunnels, Kicking Horse River basin, British Columbia. Can Geotech J 16:806–813
Jackson LE Jr, Hungr O, Gardner JS, Mackay C (1989) Cathedral Mountain debris flows, Canada. Bull Int Assoc Eng Geol 40:35–54
Jakob M (2005) A size classification for debris flows. Eng Geol 79:151–161
Jakob M, Hungr O, Thomson B (1997) Two debris flows with anomalously high magnitude. In: Chen C-L (ed) Debris-flow hazards mitigation: mechanics, prediction, and assessment. Proceedings of the first international conference. ASCE, New York, pp 382–394
Jakob M, Anderson D, Fuller T, Hungr O, Ayotte D (2000) An unusually large debris flow at Hummingbird Creek, Mara Lake, British Columbia. Can Geotech J 37:1109–1125
Jan CD, Wang YY, Han WL (2000) Resistance reduction of debris-flow due to air entrainment. In: Wieczorek GF, Naeser ND (eds) Debris-flow hazards mitigation: mechanics, prediction, and assessment. Proceedings of the second international conference. AA Balkema, Rotterdam, pp 369–372
Johnson AM (1984) Debris flow. In: Brunsden D, Prior DB (eds) Slope instability. Wiley, Chichester, pp 257–361
Johnson AM, Martosudarmo SY (1997) Discrimination between inertial and macro-viscous flows of fine-grained debris with a rolling-sleeve viscometer. In: Chen C-L (ed) Debris-flow hazards mitigation: mechanics, prediction, and assessment. Proceedings of the first international conference. ASCE, New York, pp 229–238
Jordan RP (1994) Debris flows in the Southern Coast Mountains, British Columbia: dynamic behaviour and physical properties. Doctor of Philosophy thesis, The University of British Columbia
Keaton JR, DeGraff JV (1996) Surface observation and geologic mapping. In: Turner AK, Schuster RL (eds) Landslides investigation and mitigation. Special Report 247, Transportation Research Board, National Research Council, Washington, pp 178–230
Lo DOK (2000) Review of natural terrain landslide debris-resisting barrier design. GEO Report No. 104, Geotechnical Engineering Office, Civil Engineering Department, The Government of Hong Kong Special Administrative Region
Locat J (1997) Normalized rheological behaviour of fine muds and their flow properties in a pseudoplastic regime. In: Chen C-L (ed) Debris-flow hazards mitigation: mechanics, prediction, and assessment. Proceedings of the first international conference. ASCE, New York, pp 260–269
Lorenzini G, Mazza N (2004) Debris flow phenomenology and rheological modeling. WIT Press, Southampton
Major JJ, Iverson RM (1999) Debris-flow deposition: effects of pore-fluid pressure and friction concentrated at flow margins. GSA Bull 111:1424–1434
Marina P, Giuseppe S (2007) The runout of debris flows: application of two numerical models and comparison of results. Proceedings of the first North American landslide conference, Vail, Colorado, 3–8 June 2007 (compact disk)
McArdell BW, Zanuttigh B, Lamberti A, Rickenmann D (2003) Systematic comparison of debris-flow laws at the Illgraben torrent, Switzerland. In: Rickenmann D, Chen C-L (eds) Debris-flow hazards mitigation: mechanics, prediction, and assessment. Proceedings of the third international conference. Millpress, Rotterdam, pp 647–657
McClung DM (2001) Superelevation of flowing avalanches around curved channel bends. J Geophys Res 106:16,489–16,498
McDonald GN, Giraud RE (2002) September 12, 2002, fire-related debris flows east of Santaquin and Spring Lake, Utah County, Utah. Technical Report 02-09, Utah Geological Survey, Salt Lake City, Utah
Meyer GA, Wells SG (1997) Fire-related sedimentation events on alluvial fans, Yellowstone National Park, U.S.A. J Sediment Res 67:776–791
Meyer GA, Pierce JL, Wood SH, Jull AJT (2001) Fire, storms, and erosional events in the Idaho batholith. Hydrol Process 15:3025–3038
Nasmith HW, Mercer AG (1979) Design of dykes to protect against debris flows at Port Alice, British Columbia. Can Geotech J 16:748–757
O’Brien JS (1986) Physical processes, rheology and modeling of mud flows. Doctor of Philosophy dissertation, Colorado State University
Pashias N, Boger DV (1996) A fifty cent rheometer for yield stress measurement. J Rheol 40:1179–1189
Pierson TC (1985) Initiation and flow behavior of the 1980 Pine Creek and Muddy River lahars, Mount St. Helens, Washington. Geol Soc Amer Bull 96:1056–1069
Pierson TC, Costa JE (1987) A rheologic classification of subaerial sediment-water flows. In: Costa JE, Wieczorek GF (eds) Reviews in engineering geology, vol VII. Debris flows/avalanches: process, recognition, and mitigation. The Geological Society of America, Boulder, CO, pp 1–12
Reneau SL, Dietrich WE (1987) The importance of hollows in debris flow studies; examples from Marin County, California. In: Costa JE, Wieczorek GF (eds) Reviews in engineering geology, vol VII. Debris flows/avalanches: process, recognition, and mitigation. The Geological Society of America, Boulder, CO, pp 165–180
Rickenmann D (1999) Empirical relationships for debris flows. Nat Hazards 19:47–77
Rickenmann D, Koch T (1997) Comparison of debris flow modelling approaches. In: Chen C-L (ed) Debris-flow hazards mitigation: mechanics, prediction, and assessment. Proceedings of the first international conference. ASCE, New York, pp 576–585
Santi PM (1988) The kinematics of debris flow transport down a canyon. Master of Science in Geology Thesis, Texas A&M University
Santi PM, Higgins JD, Cannon SH, DeGraff JV (2006) Evaluation of post-wildfire debris flow mitigation methods and development of decision-support tools. Final Report to the Joint Fire Science Program, JFSP Contract 03-1-4-14. Also at http://www.firescience.gov/projects/03-1-4-14/03-1-4-14_final_report.pdf
Savage WZ, Smith WK (1986) A model for the plastic flow of landslides. US Geological Survey Professional Paper 1385, United States Government Printing Office, Washington, DC
Soule NC (2006) The influence of coarse material on the yield strength and viscosity of debris flows. Master of Science in Geological Engineering Thesis, Colorado School of Mines
Suwa H, Yamakoshi T (2000) Estimation of debris-flow motion by field surveys. In: Wieczorek GF, Naeser ND (eds) Debris-flow hazards mitigation: mechanics, prediction, and assessment. Proceedings of the second international conference. AA Balkema, Rotterdam, pp 293–299
Suwa H, Akamatsu J, Nagai Y (2003) Energy radiation by elastic waves from debris flows. In: Rickenmann D, Chen C-L (eds) Debris-flow hazards mitigation: mechanics, prediction, and assessment. Proceedings of the third international conference. Millpress, Rotterdam, pp 895–904
Thomas GB Jr, Finney RL (1984) Calculus and analytic geometry. Addison-Wesley, Reading, Massachusetts
Tropeano D, Turconi L, Rosso M, Cavallo C (2003) The October 15, 2000 debris flow in the Bioley torrent, Fenis, Aosta valley, Italy—damage and processes. In: Rickenmann D, Chen C-L (eds) Debris-flow hazards mitigation: mechanics, prediction, and assessment. Proceedings of the third international conference. Millpress, Rotterdam, pp 1037–1048
VanDine DF (1985) Debris flows and debris torrents in the Southern Canadian Cordillera. Can Geotech J 22:44–68
VanDine DF (1996) Debris flow control structures for forest engineering. British Columbia Ministry of Forests Research Program, Working Paper 08/1996
Williams GP (1986) River meanders and channel size. J Hydrol 88:147–164
Zhang S, Chen J (2003) Measurement of debris-flow surface characteristics through close-range photogrammetry. In: Rickenmann D, Chen C-L (eds) Debris-flow hazards mitigation: mechanics, prediction, and assessment. Proceedings of the third international conference. Millpress, Rotterdam, pp 775–784
Acknowledgments
This work has been funded by the US Department of Education through a Graduate Assistance in Areas of National Need (GAANN) Fellowship, award #P200A060133. Thanks to Richard Giraud from the Utah Geological Survey for providing airphotos and to Ron Allingham for AutoCAD assistance. Also thanks to Victor deWolfe, Joe Gartner, Morgan McArthur, and Nate Soule for the measurement of many of the cross-sections used in this study. Joe Gartner, Jason Kean, and two anonymous reviewers provided helpful comments on an earlier draft of this paper.
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Prochaska, A.B., Santi, P.M., Higgins, J.D. et al. A study of methods to estimate debris flow velocity. Landslides 5, 431–444 (2008). https://doi.org/10.1007/s10346-008-0137-0
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DOI: https://doi.org/10.1007/s10346-008-0137-0