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http://hdl.handle.net/2122/10809
Authors: | Costa, Antonio* Macedonio, Giovanni* |
Title: | Nonlinear phenomena in fluids with temperature-dependent viscosity: An hysteresis model for magma flow in conduits | Journal: | Geophysical Research Letters | Series/Report no.: | /29 (2002) | Issue Date: | 2002 | DOI: | 10.1029/2001GL014493 | Abstract: | Magma viscosity is strongly temperature-dependent. When hot magma flows in a conduit, heat is lost through the walls and the temperature decreases along the flow causing a viscosity increase. For particular values of the controlling parameters the steady-flow regime in a conduit shows two stable solutions belonging either to the slow or to the fast branch. As a consequence, this system may show an hysteresis effect, and the transition between the two branches can occur quickly when the critical points are reached. In this paper we describe a model to study the relation between the pressure at the inlet and the volumetric magma flow rate in a conduit. We apply this model to explain an hysteric jump observed during the dome growth at Soufrière Hills volcano (Montserrat), and described by Melnik and Sparks [1999] using a different model. |
Appears in Collections: | Article published / in press |
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