Topographic effects on flowing lava - Analysis of small and intermediate scale perturbations

Physics – Fluid Dynamics

Scientific paper

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Lava, Topography, Viscous Flow, Small Perturbation Flow, Basalt, Physical Properties, Mathematical Models, Rheology, Fluid Dynamics

Scientific paper

Theoretical models of lava flow emplacement attempt to understand how the complex interaction between a flow's physical properties and emplacement characteristics lead to the final flow dimensions and morphology observed in the field. A flow's effusion rate, rheologic parameters, and the underlying topography all play an important role in determining morphologic parameters such as length or surface structure. The effects of small and intermediate scale underlying topography on the dynamics of the flow are here examined. A small-perturbation analysis is used to determine an approximate analytical solution for a flow of lava down a rough inclined plane in which the amplitude of the plate undulations are small relative to the depth of the flow. We start with the simple case of a single harmonic component on an inclined plane and expand the analysis to examine viscous flow down a more natural surface, represented by topographic profiles of Hawaiian basalts. We also examine how a flow down an inclined plane reacts to periodic or random slope changes, and the effects on the resulting planform of the flow.

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