{"title":"An empirical relation between velocity, mass discharge rate and vent area for normal through paroxysmal eruptions at Stromboli","authors":"","doi":"10.1007/s00445-024-01718-8","DOIUrl":null,"url":null,"abstract":"<h3>Abstract</h3> <p>Based on published and new data for explosive events at Stromboli (Italy), we propose an empirical relation that links mass discharge rate (MDR) and at-vent gas jet velocity (<em>G</em><sub><em>v</em></sub>). We use 65 simultaneous measurements of MDR and <em>G</em><sub><em>v</em></sub> and find two trends in both the cross-correlation and rank order statistics. Cross-correlation gives a power law relation: <span> <span>\\(MDR= {10}^{(0.015{G}_{v}+2.434)}\\)</span> </span> kg/s, R<sup>2</sup> = 0.81, and applies to ash-dominated emissions. Combining this relation with the conservation of mass equation allows at-vent plume density and/or vent area to be derived from MDR = <em>G</em><sub><em>v</em></sub> <em>ρ</em> <em>A</em>, <em>ρ</em> being plume density and <em>A</em> being vent cross-sectional area. We find that while a vent radius of 2 m and plume density of 0.35 kg/m<sup>3</sup> fits with the “normal” activity at Stromboli, a 290 × 2.5 m vent area likely feeds a 10 kg/m<sup>3</sup> jet during paroxysmal activity. Initial tests on available data shows promise in extending the correlation beyond Stromboli and/or to events with higher MDR (> 10<sup>7</sup> kg/s). However, the exact relation will depend on magma composition, temperature and volatile content, as well as conduit radius and vent overpressure.</p>","PeriodicalId":55297,"journal":{"name":"Bulletin of Volcanology","volume":"295 1","pages":""},"PeriodicalIF":3.6000,"publicationDate":"2024-02-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bulletin of Volcanology","FirstCategoryId":"89","ListUrlMain":"https://doi.org/10.1007/s00445-024-01718-8","RegionNum":2,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"GEOSCIENCES, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
Based on published and new data for explosive events at Stromboli (Italy), we propose an empirical relation that links mass discharge rate (MDR) and at-vent gas jet velocity (Gv). We use 65 simultaneous measurements of MDR and Gv and find two trends in both the cross-correlation and rank order statistics. Cross-correlation gives a power law relation: \(MDR= {10}^{(0.015{G}_{v}+2.434)}\) kg/s, R2 = 0.81, and applies to ash-dominated emissions. Combining this relation with the conservation of mass equation allows at-vent plume density and/or vent area to be derived from MDR = GvρA, ρ being plume density and A being vent cross-sectional area. We find that while a vent radius of 2 m and plume density of 0.35 kg/m3 fits with the “normal” activity at Stromboli, a 290 × 2.5 m vent area likely feeds a 10 kg/m3 jet during paroxysmal activity. Initial tests on available data shows promise in extending the correlation beyond Stromboli and/or to events with higher MDR (> 107 kg/s). However, the exact relation will depend on magma composition, temperature and volatile content, as well as conduit radius and vent overpressure.
期刊介绍:
Bulletin of Volcanology was founded in 1922, as Bulletin Volcanologique, and is the official journal of the International Association of Volcanology and Chemistry of the Earth’s Interior (IAVCEI). The Bulletin of Volcanology publishes papers on volcanoes, their products, their eruptive behavior, and their hazards. Papers aimed at understanding the deeper structure of volcanoes, and the evolution of magmatic systems using geochemical, petrological, and geophysical techniques are also published. Material is published in four sections: Review Articles; Research Articles; Short Scientific Communications; and a Forum that provides for discussion of controversial issues and for comment and reply on previously published Articles and Communications.