Articles | Volume 1, issue 1
Solid Earth, 1, 49–59, 2010
Solid Earth, 1, 49–59, 2010

Method article 22 Jun 2010

Method article | 22 Jun 2010

The stochastic quantization method and its application to the numerical simulation of volcanic conduit dynamics under random conditions

E. Peruzzo1,*, M. Barsanti2,3, F. Flandoli2, and P. Papale3 E. Peruzzo et al.
  • 1Scuola Normale Superiore, Piazza dei Cavalieri 7, 56126, Pisa, Italy
  • 2Dipartimento di Matematica Applicata, Università di Pisa, Via Buonarroti 1c, 56127, Pisa, Italy
  • 3Istituto Nazionale di Geofisica e Vulcanologia, Sezione di Pisa, Via della Faggiola 32, 56126, Pisa, Italy
  • *Invited contribution by E. Peruzzo, one of the EGU Young Scientists Outstanding Poster Paper Award winners 2009

Abstract. Stochastic Quantization (SQ) is a method for the approximation of a continuous probability distribution with a discrete one. The proposal made in this paper is to apply this technique to reduce the number of numerical simulations for systems with uncertain inputs, when estimates of the output distribution are needed. This question is relevant in volcanology, where realistic simulations are very expensive and uncertainty is always present. We show the results of a benchmark test based on a one-dimensional steady model of magma flow in a volcanic conduit.