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Three-Dimensional Topography of Debris-Flow Fan

J. Hydraul. Eng. 132, 307 (2006); http://dx.doi.org/10.1061/(ASCE)0733-9429(2006)132:3(307) (12 pages)

Yuan-Fan Tsai

Dept. of Geography of Social Studies Education, National Taipei University of Education, Taipei, Taiwan.

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(Submitted 20 July 2004; accepted 1 April 2005)

Study on debris-flow fan configurations lays the groundwork for hazard zone mappings of debris flow disasters. This paper aims to identify the morphological similarity of debris-flow fans based on a series of laboratory experiments and field investigations. The maximum length Lc, width Bm, and thickness Zo of debris-flow fans are adopted as the characteristic parameters in the analysis of morphological similarity of debris-flow fans. This analysis demonstrates that the nondimensional longitudinal and transverse profiles of debris-flow fans can be described by Gaussian curves, while a circular curve can be used to fit the nondimensional plan form of the debris-flow fans. By combining the three nondimensional curves mentioned above, the volume ∀ of a debris-flow fan can be related to the maximum length Lc, maximum width Bm, and maximum thickness Z0 by ∀ = αLcBmZo, via an empirical coefficient α. The parameter α is approximately 0.275 for a natural stony debris-flow fan and greater than 0.275 for a natural mud debris-flow fan. In addition, the three-dimensional topography of debris-flow fans can be easily derived based on the parameters Lc, Bm, and Zo using three morphological similarity formulae.

© 2006 ASCE

Article Outline

  1. Introduction
  2. Laboratory Experiments
    1. Experimental Setup
    2. Experimental Conditions
    3. Process of Formation of Debris-Flow Fan
  3. Field Investigations
  4. Debris-Flow Fan Configurations
    1. Morphological Similarity of Transverse Profile
    2. Morphological Similarity of Longitudinal Profile
    3. Morphological Similarity of Plane Profile
  5. Volume Formula of Debris-Flow Fan
  6. Three-Dimensional Topography of Debris-Flow Fans
  7. Conclusions

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0733-9429 (print)  
1943-7900 (online)

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