Fractality in geology: a possible use of fractals in the studies of partial melting processes

Соэсоо, Алвар; Kalda, Jaan; Bons, Paul D.; Urtson, Kristjan; Kalm, V.

doi:10.3176/geol.2004.1.02

Cited by 10 publications

(2 citation statements)

References 39 publications

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“…However, if leucosomes have a power-law volume distribution, they are also expected to have a power-law width distribution. This was indeed observed in migmatites from South Finland (outcrop) and the Estonian basement (drill core) (Bons et al 2004;Soesoo et al 2004). Power-law width distributions were also reported by Kruhl (1994) for a range of scales from small leucosomes to dykes.…”

Section: Power-law Distributionsmentioning

confidence: 54%

Granite formation: Stepwise accumulation of melt or connected networks?

Bons¹,

Becker²,

Elburg³

et al. 2009

Earth and Environmental Science Transactions of the Royal Socie

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Several authors have proposed that granitic melt accumulation and transport from the source region occurs in networks of connected melt-filled veins and dykes. These models envisage the smallest leucosomes as ‘rivulets’ that connect to feed larger dykes that form the ‘rivers’ through which magma ascends through the sub-solidus crust. This paper critically reviews this ‘rivulets-feeding-rivers’ model. It is argued that such melt-filled networks are unlikely to develop in nature, because melt flows and accumulates well before a fully connected network can be established. In the alternative stepwise accumulation model, flow and accumulation is transient in both space and time. Observations on migmatites at Port Navalo, France, that were used to support the existence of melt-filled networks are discussed and reinterpreted. In this interpretation, the structures in these migmatites are consistent with the collapse and draining of individual melt batches, supporting the stepwise accumulation model.

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Section: Power-law Distributionsmentioning

confidence: 54%

Granite formation: Stepwise accumulation of melt or connected networks?

Bons¹,

Becker²,

Elburg³

et al. 2009

Earth and Environmental Science Transactions of the Royal Socie

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“…Fractal and multifractal analysis, which has gained popularity in the last few decades, can be practiced in several different fields, e.g. in the study of geological processes [21], heart rhythms [22], city planning [23], and in the exploration of complex payment networks [24]. However, it has mostly been applied to research and to describe various surface structures [25][26][27][28][29][30][31][32][33][34][35], and is, therefore, suitable for studying specific surface defect structures (such as cracks and a mesh of cracks, blisters, traces of erosion, wavy formations, etc.)…”

Section: Introductionmentioning

confidence: 99%

Comparison of multifractal parameters of surface defects and non-defects

Martsepp¹,

Laas²,

Tõkke³

et al. 2023

PEAS

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In this study, three different materials (pure tungsten and two tungsten alloys with Fe and Ni dopants), which have been irradiated with a high-temperature deuterium plasma of 20, 25 and 100 plasma shots, are considered. The multifractal characteristics obtained from SEM images are then compared for the same specimens by analysing the distribution of defects and non-defects (nondamaged areas). A valid tendency was found that the brighter the original input image, the more accurate the results obtained when examining a non-damaged surface using multifractal characteristics.

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From Migmatites to Plutons: Power Law Relationships in the Evolution of Magmatic Bodies

Соэсоо

Bons

2014

Pure Appl. Geophys.

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Fractality in geology: a possible use of fractals in the studies of partial melting processes

Cited by 10 publications

References 39 publications

Granite formation: Stepwise accumulation of melt or connected networks?

Granite formation: Stepwise accumulation of melt or connected networks?

Comparison of multifractal parameters of surface defects and non-defects

From Migmatites to Plutons: Power Law Relationships in the Evolution of Magmatic Bodies

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