Three-Dimensional Modelling of Leveed Lava Flows

Mathematics – Logic

Scientific paper

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Bingham, Flows: Lava

Scientific paper

Eruption rates and lava flow emplacement times are important factors in understanding planetary volcanism. For planetary lava flows featuring well-developed central channels and lateral embanking levees, lava flow rates and emplacement times have been estimated from measured morphological parameters, such as levee and channel widths, using the isothermal Bingham flow model of Hulme. The isothermal assumption and the arbitrary fitting of a static two-dimensional model to a three-dimensional problem have been criticized, but no definitive replacement has emerged in the literature to date. Through the use of numerical modeling, we are investigating the validity of the theoretical assumptions and approach used by Hulme for leveed lava flows that have fully developed central channels. The goal of this study is to identify the conditions for which the Hulme approach provides a reasonable approximation and to isolate the parameter regimes that require a more refined theoretical treatment of flow emplacement.

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