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Plume-mom 1.0: a New 1-d Model of Volcanic Plumes Based on the Method of Moments : Volume 8, Issue 5 (05/05/2015)

By De' Michieli Vitturi, M.

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Book Id: WPLBN0004009878
Format Type: PDF Article :
File Size: Pages 46
Reproduction Date: 2015

Title: Plume-mom 1.0: a New 1-d Model of Volcanic Plumes Based on the Method of Moments : Volume 8, Issue 5 (05/05/2015)  
Author: De' Michieli Vitturi, M.
Volume: Vol. 8, Issue 5
Language: English
Subject: Science, Geoscientific, Model
Collections: Periodicals: Journal and Magazine Collection, Copernicus GmbH
Historic
Publication Date:
2015
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications

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Neri, A., Barsotti, S., & Michieli Vitturi, M. D. (2015). Plume-mom 1.0: a New 1-d Model of Volcanic Plumes Based on the Method of Moments : Volume 8, Issue 5 (05/05/2015). Retrieved from http://worldebookfair.com/


Description
Description: Istituto Nazionale di Geofisica e Vulcanologia, Sezione di Pisa, Italy. In this paper a new mathematical model for volcanic plumes, named PlumeMoM, is presented. The model describes the steady-state 1-D dynamics of the plume in a 3-D coordinate system, accounting for continuous variability in particle distribution of the pyroclastic mixture ejected at the vent. Volcanic plumes are composed of pyroclastic particles of many different sizes ranging from a few microns up to several centimeters and more. Proper description of such a multiparticle nature is crucial when quantifying changes in grain-size distribution along the plume and, therefore, for better characterization of source conditions of ash dispersal models. The new model is based on the method of moments, which allows description of the pyroclastic mixture dynamics not only in the spatial domain but also in the space of properties of the continuous size-distribution of the particles. This is achieved by formulation of fundamental transport equations for the multiparticle mixture with respect to the different moments of the grain-size distribution. Different formulations, in terms of the distribution of the particle number, as well as of the mass distribution expressed in terms of the Krumbein log scale, are also derived. Comparison between the new moments-based formulation and the classical approach, based on the discretization of the mixture in N discrete phases, shows that the new model allows the same results to be obtained with a significantly lower computational cost (particularly when a large number of discrete phases is adopted). Application of the new model, coupled with uncertainty quantification and global sensitivity analyses, enables investigation of the response of four key output variables (mean and standard deviation (SD) of the grain-size distribution at the top of the plume, plume height and amount of mass lost by the plume during the ascent) to changes in the main input parameters (mean and SD) characterizing the pyroclastic mixture at the base of the plume. Results show that, for the range of parameters investigated, the grain-size distribution at the top of the plume is remarkably similar to that at the base and that the plume height is only weakly affected by the parameters of the grain distribution.

Summary
PLUME-MoM 1.0: a new 1-D model of volcanic plumes based on the method of moments

Excerpt
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