Journal cover Journal topic
Natural Hazards and Earth System Sciences An interactive open-access journal of the European Geosciences Union
doi:10.5194/nhessd-3-3789-2015
© Author(s) 2015. This work is distributed
under the Creative Commons Attribution 3.0 License.
Research article
12 Jun 2015
Review status
This discussion paper has been under review for the journal Natural Hazards and Earth System Sciences (NHESS). The manuscript was not accepted for further review after discussion.
TITAN2F: a pseudo-3-D model of 2-phase debris flows
G. Córdoba1, M. F. Sheridan2, and E. B. Pitman3 1Universidad de Nariño, Pasto, Colombia
2Center for Geohazards Studies and Department of Geology, University of Buffalo, Buffalo, NY 14260, USA
3Center for Geohazards Studies and Department of Mathematics, University of Buffalo, Buffalo, NY 14260, USA
Abstract. Debris flows, avalanches, landslides, and other geophysical mass flows can contain O(106–1010) m3 or more of material. These flows commonly consist of mixture of soil and rocks with a significant quantity of interstitial fluid. They can be tens of meters deep, and their runouts can extend many kilometers. The complicated rheology of such a mixture challenges every constitutive model that can reasonably be applied; the range of length and timescales involved in such mass flows challenges the computational capabilities of existing systems.This paper extends recent efforts to develop a depth averaged "thin layer" model for geophysical mass flows that contain a mixture of solid material and fluid. Concepts from the engineering community are integrated with phenomenological findings in geo-science, resulting in a theory that accounts for the principal solid and fluid forces as well as interactions between the phases, across a wide range of solid volume fraction. A principal contribution here is to present drag and phase interaction terms that comport with the literature in geo-sciences. The program predicts the evolution of the concentration and dynamic pressure. The theory is validated with with data from one dimensional dam break solutions and it is verified with data from artificial channel experiments.

Citation: Córdoba, G., Sheridan, M. F., and Pitman, E. B.: TITAN2F: a pseudo-3-D model of 2-phase debris flows, Nat. Hazards Earth Syst. Sci. Discuss., 3, 3789-3822, doi:10.5194/nhessd-3-3789-2015, 2015.
G. Córdoba et al.
G. Córdoba et al.

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This paper shows the development of Two-Phase-Titan (Titan2F), aimed for modeling a wide range of debris flows. The new mathematical approach allows to predict the evolution in space and time of depth, the velocities, speed, particle concentration and dynamic pressure. As input the program only requires the initial volume of material and the initial volumetric fraction of solids. The program predictions fits within 10% of tested analytical and field data.
This paper shows the development of Two-Phase-Titan (Titan2F), aimed for modeling a wide range...
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