Title:

The Ring of Fire and the Mantle Convection Rolls Model: the Regularity of Subduction Zones Distribution and Relative Arrangement of Volcanic Arcs

Authors:

Steingrimur THORBJARNARSON

Key Words:

subduction, mantle, convection, mid-ocean ridges, convergent boundary, volcanic arc

Conference:

Stanford Geothermal Workshop

Year:

2024

Session:

Geophysics

Language:

English

Paper Number:

Thorbjarnarson

File Size:

2761 KB

View File:

Abstract:

In this paper, the consistency between distribution of the subduction zones around the Pacific Ocean and the Comprehensive Mantle Convection Rolls Model is investigated. Mid-ocean ridges have been compared with the model, showing correlation of both location and alignment. Here, a corresponding comparison with subduction zones reveals the same mathematical relationship between divergent and convergent boundaries of tectonic plates all over the globe. The Reykjanes Ridge of the Atlantic Ocean and the Izu–Bonin–Mariana Arc of the Pacific Ocean adhere to the same mathematical equation 180 degrees apart from each other. A framework analysis of the whole Pacific Ocean is made, starting with equator, where the Pacific Ocean spans 150 degrees in between Indonesia and South America. The Pacific Ocean provides an excellent opportunity to test the plausibility of the Convection Rolls Model. The ninety degrees mathematical interval between the Reykjanes Ridge and Juan de Fuca, indicates the existence of a wholistic range of convection rolls, which could explain the mathematically regular arrangement of mid-ocean ridges. The same equation applies to the subduction zones. Every side of the Pacific, with Cascadia, Andes Mountains, New Zealand, Japan, and related areas, exhibits mathematical consistency with large scale lower mantle convection rolls model. More details are then revealed regarding the relationship between inner structure of subduction zones and the modelled smaller asthenospheric convection rolls. An intriguing relationship between mathematics of modelled convection rolls within the asthenosphere and the volcanic arcs along with the back-arcs is found. That relationship is further supported by petrological and tectonic studies. The model provides the opportunity to divide the chains of volcanoes into smaller sections of polygons, directly comparable to empirical findings in geoscientific literature. It is suggested that the relevant mathematical equations could be utilized to calculate the location and alignment of hitherto unidentified tectonic features. The distribution of geothermal and volcanic activity within the study areas is consistent with the locations, dimensions, and alignment of modelled convection rolls. Revealing that mathematically definable convection rolls were responsible for tectonic activity, would add to the general understanding of geoscience, for instance making it feasible to anticipate where geothermal resources are located by making use of the relevant mathematical preconditions introduced.


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