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Numerical simulation of debris flow with application on hazard area mapping

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A numerical program developed for field application is presented in this paper. We use the generalized Julien and Lan [8] rheological model to simulate debris flows. Due to the derivative discontinuous nature of the constitutive law, flow is separated into plug region and bottom region (with stress greater than yield stress). The program solves the plug flow layer solution first, and then corrects the solution with the bottom layer approximation. Numerical scheme with upwind method and central difference in space and Adam–Bashforth third-order scheme in time is used for both layers. The scheme is tested against analytical solutions and laboratory experiments with very good results. Application to a field case with more complicated geometry also achieves good agreement, with error less than 5% compared to field measurements. The final example demonstrates how this numerical program is used in a preliminary design.

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References

  1. R.A. Bagnold, Experiments on a gravity-free dispersion of large solid spheres in a Newtonian fluid under shear, Proc. R. Soc. Lond. 225 (1954) 49–63.

    Article  Google Scholar 

  2. N.J. Balmforth and J.J. Liu, Roll waves in mud, J. Fluid Mech. 519 (2004) 33–54.

    Article  MATH  MathSciNet  Google Scholar 

  3. C.T. Chang, Rheological measurements in a rotating drum with Bingham type material, Master thesis, National Taiwan University (2004).

  4. P. Coussot and S. Proust, Slow, unconfined spreading of a mud flow. J. Geophys. Res. 101(B11) (1996) 25217–25229.

    Article  Google Scholar 

  5. X. Huang and M.H. Garcia, A Herschal–Hulkley model for mud flow down a slope, J. Fluid Mech. 374 (1998) 305–333.

    Article  MATH  Google Scholar 

  6. R.M. Iverson, T.J. Denlinger, R.G. LaHusen and M. Logan, Two-phase debris-flow across 3-D terrain: Model prediction and experimental tests, in: Proceedings of the 2nd International Conference on Debris Flow Hazards Mitigation, Taipei, Taiwan, Aug. 16–18 (2000), pp. 521–530.

  7. A.M. Johnson, Physical Processes in Geology (Freeman, New York, 1970).

    Google Scholar 

  8. P.Y. Julien and Y. Lan, Rheology of hyperconcentrations, J. Hydraul. Eng. ASCE 117 (1991) 346–353.

    Article  Google Scholar 

  9. K.F. Liu and M.T. Huang, Study of the front shape of 3-D stationary debris flows, in: Proceedings of 8th Civil and Hydraulic Conference, Taipei, July 8–9, 1996 (1996) pp. 529–536.

  10. K.F. Liu and M.T. Huang, Three-dimensional numerical simulation of debris flows and its applications, in: The 3rd International Conference on Debris-Flow Hazards Mitigation, Sept. 16–18 (2003), pp. 469–481

  11. K.F. Liu and K.W. Lai, Numerical simulation of two-dimensional debris flows, in: Proceedings of the 2nd International Conference on Debris Flow Hazards Mitigation, Taipei, Taiwan, Aug. 16–18 (2000), pp. 531–535.

  12. K.F. Liu and C.C. Mei, Slow spreading of a sheet of Bingham fluid on an inclined plane, J. Fluid Mech. 207 (1989) 505–529.

    Article  MATH  Google Scholar 

  13. K.F. Liu and F.C. Lee, Experimental analysis on impact mechanism of granular flows, Chin. J. Mech. 13(1) (1997) 87–100.

    Google Scholar 

  14. S. Longo and A. Lamberti, Grain shear flow in a rotating drum, Exp. Fluids 32 (2003) 313–325.

    Article  Google Scholar 

  15. C.C. Mei and M. Yuhi, Slow flow of a Bingham fluid in a shallow channel of finite width, J. Fluid Mech. 431 (2001) 135–159.

    Article  MATH  Google Scholar 

  16. C. Ng and C.C. Mei, Roll waves on a shallow layer of mud modeled as a power-law fluid, J. Fluid Mech. 263 (1994) 151–183.

    Article  MATH  Google Scholar 

  17. J.S. O'Brien, and P.Y. Julien, On the importance of mudflow routing, in: Proceedings of the 2nd International Conference on Debris Flow Hazards Mitigation, Taipei, Taiwan, Aug. 16–18 (2000), pp. 677–686.

  18. T. Takahashi, Debris flow, Int. Assoc. Hydraul. Res. (1991).

  19. Y.F. Tsai, Study on the configuration of debris-flow fan, Ph.D. dissertation, Department of Hydraulic and Ocean Engineering, National Cheng-Kung University, Taiwan (1999).

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Authors and Affiliations

  1. Department of Civil Engineering, National Taiwan University, No. 1 Section 4, Roosevelt Road, Taipei, 106, Taiwan

    Ko-Fei Liu

  2. Ching-Yun Technology University, Chung-Li, Taiwan

    Ming Chung Huang

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  1. Ko-Fei Liu
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  2. Ming Chung Huang
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Correspondence to Ko-Fei Liu.

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Liu, KF., Huang, M.C. Numerical simulation of debris flow with application on hazard area mapping. Comput Geosci 10, 221–240 (2006). https://doi.org/10.1007/s10596-005-9020-4

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  • DOI: https://doi.org/10.1007/s10596-005-9020-4

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