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(Referência obtida automaticamente do Web of Science, por meio da informação sobre o financiamento pela FAPESP e o número do processo correspondente, incluída na publicação pelos autores.)

Quantifying magma mixing with the Shannon entropy: Application to simulations and experiments

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Autor(es):
Perugini, D. [1] ; De Campos, C. P. [2] ; Petrelli, M. [1] ; Morgavi, D. [1] ; Vetere, F. P. [1] ; Dingwell, D. B. [2]
Número total de Autores: 6
Afiliação do(s) autor(es):
[1] Univ Perugia, Dept Phys & Geol, I-06100 Perugia - Italy
[2] Univ Munich, Dept Earth & Environm Sci, D-80333 Munich - Germany
Número total de Afiliações: 2
Tipo de documento: Artigo Científico
Fonte: LITHOS; v. 236, p. 299-310, NOV 2015.
Citações Web of Science: 5
Assunto(s):Vulcanismo   Vulcões   Magma
Resumo

We introduce a new quantity to petrology, the Shannon entropy, as a tool for quantifying mixing as well as the rate of production of hybrid compositions in the mixing system. The Shannon entropy approach is applied to time series numerical simulations and high-temperature experiments performed with natural melts. We note that in both cases the Shannon entropy increases linearly during the initial stages of mixing and then saturates toward constant values. Furthermore, chemical elements with different mobilities display different rates of increase of the Shannon entropy. This indicates that the hybrid composition for the different elements is attained at different times generating a wide range of spatio-compositional domains which further increase the apparent complexity of the mixing process. Results from the application of the Shannon entropy analysis are compared with the concept of Relaxation of Concentration Variance (RCV), a measure recently introduced in petrology to quantify chemical exchanges during magma mixing. We derive a linear expression relating the change of concentration variance during mixing and the Shannon entropy. We show that the combined use of Shannon entropy and RCV provides the most complete information about the space and time complexity of magma mixing. As a consequence, detailed information about this fundamental petrogenetic and volcanic process can be gathered. In particular, the Shannon entropy can be used as complement to the RCV method to quantify the mobility of chemical elements in magma mixing systems, to obtain information about the rate of production of compositional heterogeneities, and to derive empirical relationships linking the rate of chemical exchanges between interacting magmas and mixing time. (C) 2015 Elsevier B.V. All rights reserved. (AU)

Processo FAPESP: 09/50493-8 - Modelos da crosta e litosfera sob as bacias do Paraná e Chaco-Paraná integrando gradiometria gravimétrica por satélite, gravimetria terrestre e sondagens magnéticas e eletromagnéticas
Beneficiário:Icaro Vitorello
Linha de fomento: Auxílio à Pesquisa - Temático
Processo FAPESP: 15/11850-0 - 8th Hutton Symposium on Granites and related rocks
Beneficiário:Valdecir de Assis Janasi
Linha de fomento: Auxílio à Pesquisa - Organização de Reunião Científica