Geometric scaling of tabular igneous intrusions: implications for emplacement and growth

Alexander Ramsay Cruden, Kenneth J.W. McCaffrey, Andrew Bunger

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Abstract

The horizontal (L) and vertical (T) dimensions of broadly tabular,sub-horizontal intrusions of mafic to felsic composition emplaced intoshallow to mid-crustal levels of continental crust reveal two well-definedand continuous curves in log L vs. log T space. The data set spans six andfive orders of magnitude in L (1 m to 1000 km) and T (10 cm to 10 km),respectively. Small tabular sheets and sills (mafic and felsic) define astraight line with a slope * 0.5 at all horizontal length scales, similar tothe known geometric scaling of mafic dikes, indicating that the L/T ratio ofthese intrusions to increases with increasing L (horizontal lengtheningdominates over vertical thickening). Laccoliths, plutons, layered maficintrusions and batholiths define an open, continuous S-shaped curve thatbifurcates from the tabular sheets and sills curve at L * 500 m towardshigher T values. For L * 0.5 to 10 km the slope of this curve is * 1.5,corresponding to laccoliths that are characterized by a decrease in L/T ratiowith increasing L (vertical thickening dominates over horizontal lengthening).Between L * 10 and 100 km the slope has a mean value * 0.8,indicating that plutons and layered mafic intrusions have a tendency forhorizontal lengthening over vertical thickening as L increases. Batholiths and very large layered mafic intrusions with L > 100 km lie on a slope* 0 with a threshold thickness * 10 km. The continuous nature of thedimensional data over such a wide range of length scales reflects aspectrum of igneous emplacement processes repeated in space and time.We discuss how thresholds and transitions in this spectrum, defined bybifurcations between the curves (e.g., between sill and laccolith emplacement)and changes in slope, largely reflect depth- and time-dependentchanges in emplacement mechanisms rather than factors such as magmaviscosity, composition and temperature.
Original languageEnglish
Title of host publicationPhysical Geology of Shallow Magmatic Systems
Subtitle of host publicationDykes, Sills and Laccoliths
EditorsChristoph Breitkreuz, Sergio Rocchi
Place of PublicationCham Switzerland
PublisherSpringer
Chapter2
Pages11-38
Number of pages27
Edition1st
ISBN (Electronic)9783319140841
ISBN (Print)9783319140834
DOIs
Publication statusPublished - 2018

Publication series

NameAdvances in Volcanology: An Official Book Series of the International Association of Volcanology and Chemistry of the Earth’s Interior
PublisherSpringer
ISSN (Print)2364-3277
ISSN (Electronic)2364-3285

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