dorsal/arxiv
View SchemaNonlinear phenomena in fluids with temperature-dependent viscosity: an hysteresis model for magma flow in conduits
| Authors | Antonio Costa, Giovanni Macedonio |
|---|---|
| Categories | |
| ArXiv ID | physics/0302099 |
| URL | https://arxiv.org/abs/physics/0302099 |
| Journal | Geophysical Research Letters, Vol 29, No 10, 23 May 2002 |
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 certain 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 Soufri\`ere Hills volcano (Montserrat), and described by Melnik and Sparks [1999] using a different model.
{
"annotation_id": "d644e3f9-2ab9-49ea-8ff0-75c1502dbd94",
"date_created": "2026-03-02T18:00:43.556000Z",
"date_modified": "2026-03-02T18:00:43.556000Z",
"file_hash": "072a5d35fd1a7109581cf473d8acc41954f3f434f85fbf73b43dbe91daa61f08",
"private": false,
"record": {
"abstract": "Magma viscosity is strongly temperature-dependent. When hot magma flows in a\nconduit, heat is lost through the walls and the temperature decreases along the\nflow causing a viscosity increase. For particular values of the controlling\nparameters the steady-flow regime in a conduit shows two stable solutions\nbelonging either to the slow or to the fast branch. As a consequence, this\nsystem may show an hysteresis effect, and the transition between the two\nbranches can occur quickly when certain critical points are reached. In this\npaper we describe a model to study the relation between the pressure at the\ninlet and the volumetric magma flow rate in a conduit. We apply this model to\nexplain an hysteric jump observed during the dome growth at Soufri\\`ere Hills\nvolcano (Montserrat), and described by Melnik and Sparks [1999] using a\ndifferent model.",
"arxiv_id": "physics/0302099",
"authors": [
"Antonio Costa",
"Giovanni Macedonio"
],
"categories": [
"physics.geo-ph",
"physics.flu-dyn"
],
"journal_ref": "Geophysical Research Letters, Vol 29, No 10, 23 May 2002",
"title": "Nonlinear phenomena in fluids with temperature-dependent viscosity: an hysteresis model for magma flow in conduits",
"url": "https://arxiv.org/abs/physics/0302099"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "6d2845cd-c8df-4148-8498-62a8434a22f1",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}