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      Size distributions of fractures, dykes, and eruptions on Etna, Italy: Implications for magma-chamber volume and eruption potential

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      Scientific Reports
      Nature Publishing Group UK

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          Abstract

          The main magma source for eruptions on Etna (Italy) is poorly constrained. Here we use data on the size distributions of volcanic fissures/feeder-dykes, crater cones, dyke thicknesses, and lava flows to estimate the average magma volume flowing out of the chamber during eruptions and the volume of the chamber. For the past four centuries the average magma volume leaving the chamber during each eruption is estimated at 0.064 km 3. From the theory of poroelasticity the estimated chamber volume is then between 69 and 206 km 3. For comparison, a sill-like, circular chamber (an oblate ellipsoid) 1 km thick and 14 km in diameter would have a volume of about 154 km 3. The elastic strain energy stored in the host rock during inflation of such a chamber is about 2.8 × 10 14 J. Estimating the surface energy of a typical dyke-fracture as about 10 7 J m −2, the results suggest that the stored strain energy is sufficient to generate a dyke-fracture with an area of about 28 km 2. The average strike-dimension of volcanic fissures/feeder-dykes in Etna is about 2.7 km. It follows that the estimated strain energy is sufficient to generate a feeder-dyke with a strike-dimension of 2–3 km and with a dip-dimension as great as 10 km, agreeing with the maximum estimated depth of the magma chamber.

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          Emergence of scaling in random networks

          Systems as diverse as genetic networks or the World Wide Web are best described as networks with complex topology. A common property of many large networks is that the vertex connectivities follow a scale-free power-law distribution. This feature was found to be a consequence of two generic mechanisms: (i) networks expand continuously by the addition of new vertices, and (ii) new vertices attach preferentially to sites that are already well connected. A model based on these two ingredients reproduces the observed stationary scale-free distributions, which indicates that the development of large networks is governed by robust self-organizing phenomena that go beyond the particulars of the individual systems.
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                Author and article information

                Contributors
                deguidi@unict.it
                Journal
                Sci Rep
                Sci Rep
                Scientific Reports
                Nature Publishing Group UK (London )
                2045-2322
                11 March 2019
                11 March 2019
                2019
                : 9
                : 4139
                Affiliations
                [1 ]Istituto Nazionale di Geofisica e Vulcanologia, Osservatorio Nazionale Terremoti, Via di Vigna Murata 605, 00143 Rome, Italy
                [2 ]ISNI 0000 0004 1757 1969, GRID grid.8158.4, Department of Biological, , Geological and Environmental Sciences – Earth Sciences Section – University of Catania, ; Corso Italia, 57, 95129 Catania, Italy
                [3 ]ISNI 0000 0001 2188 881X, GRID grid.4970.a, Department of Earth Sciences, , Royal Holloway University of London, ; Egham, TW20 0EX United Kingdom
                Article
                40563
                10.1038/s41598-019-40563-0
                6412001
                30858418
                05fa379a-9b3f-4819-8ece-52b5c80bef1c
                © The Author(s) 2019

                Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.

                History
                : 6 April 2016
                : 15 February 2019
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