Progress in microboudin method for palaeo-stress analysis of metamorphic tectonites: application of mathematically refined expression

Masuda, Toshiaki; Kimura, Nozomi; Hara, Yuko

doi:10.1016/s0040-1951(03)00045-3

Cited by 20 publications

(18 citation statements)

References 21 publications

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“…Figure 4 shows the relationship between λ and p . The dimensionless stress parameter λ is defined by Masuda et al . (2003) as follows: where S * is the fracture strength of the fibre mineral (in this case piemontite) and σ 0 is the far‐field differential stress.…”

Section: Relationship Between P and Magnitude Of Differential Stresssupporting

confidence: 52%

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Microboudin structures of piemontite along the Sambagawa metamorphic belt, Japan: implications for lateral variation of differential stress during regional metamorphism

Masuda

Shibutani

Ochiai

et al. 2004

Journal Metamorphic Geology

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Evidence is presented of a lateral variation in differential stress during metamorphism along a regional metamorphic belt on the basis of the proportion of microboudinaged piemontite grains (p) in a quartz matrix in metacherts. It is proposed that p is a practical indicator of relative differential stress. Analysis of 123 metacherts from the 800 km long Sambagawa metamorphic belt, Japan, reveals that p-values range from < 0.01 to 0.7 in this region. Most samples from Wakayama in the mid-belt area have p-values of 0.4-0.6, whereas those from western Shikoku have p-values of < 0.1. This difference cannot be explained by variations in metamorphic temperature, and is instead attributed to a regional, lateral variation in differential stress during metamorphism.

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Section: Relationship Between P and Magnitude Of Differential Stresssupporting

confidence: 52%

“… Relationship between proportion of boudinaged piemontite grains ( p ) and λ for samples analysed in Masuda et al . (2003).…”

Section: Relationship Between P and Magnitude Of Differential Stressmentioning

confidence: 99%

Microboudin structures of piemontite along the Sambagawa metamorphic belt, Japan: implications for lateral variation of differential stress during regional metamorphism

Masuda

Shibutani

Ochiai

et al. 2004

Journal Metamorphic Geology

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“…The shear-lag model (Zhao and Ji, 1997) determines the relationship between the far-field differential stress (σ 0 ) and the differential stress (σ) transferred to the elastic fiber embedded within an elastic matrix at position x, as follows: and l is the half-length of grains; ν m is the Poisson's ratio of the matrix; R 0 and r 0 are the radii of the unit cell and fiber, respectively (see also Masuda et al, 2003 andZhao andJi, 1997); and E q and E f are the elastic constants of the matrix and the columnar grains, respectively. The variable β can be rewritten with the constant A 0 as (5).…”

Section: Shear-lag Modelmentioning

confidence: 99%

“…The microboudinage of an intact columnar grain into two separate segments takes place in three stages : (1) before fracturing, (2) during fracturing, and (3) after fracturing. By studying Stages 1 and 2 of microboudinage, Masuda et al (1989Masuda et al ( , 2003 and Kimura et al (2006Kimura et al ( , 2010 developed a paleopiezometer based on the microboudinage structures developed within columnar mineral grains. The microboudin paleopiezometer is superior to other widely used paleopiezometers, such as those based on recrystallized grain size (e.g., Stipp and Tullis, 2003) and calcite twinning (e.g., Lacombe, 2007), because it can reveal trends in differential stress with increasing plastic strain (Masuda et al, 2011).…”

Section: Introductionmentioning

confidence: 99%

The relationship between the proportion of microboudinaged columnar grains and far–field differential stress: A numerical model for analyzing paleodifferential stress

Matsumura

Kuwatani

Masuda

2017

Journal of Mineralogical and Petrological Sciences

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Microboudin paleopiezometry is an intensive endeavor that involves measurement of several hundred grains per sample to produce reliable estimations of far-field differential stress. This procedure is particularly time-consuming when conducting stress analysis for a large number of samples within a metamorphic belt. To improve and expedite the stress estimation procedure, we propose a numerical model that uses grain-shape data to calculate the relationship between the proportion of microboudinaged columnar grains ( p) and the far-field differential stress (σ 0 ). Our model combines the weakest link theory and the shear-lag model. The weakest link theory is used to derive the fracture strength of grains, whereas the shear-lag model is used to determine the relationship between the differential stress within a grain (σ) and σ 0 . An intact grain becomes a microboudinaged grain when σ is higher than its fracture strength at a specific point within the grain. Here, we make calculations of p for all intact grains under increasing σ 0 from 0 to 20 MPa. Our calculations show that the modeled and observed distributions of p and the aspect ratio have similar patterns for both intact and microboudinaged grains. The value of p increases with increasing σ 0 , with 70% of the grains being microboudinaged when σ 0 = 20 MPa. These results suggest that our model is capable of reproducing observed data for microboudinaged columnar grains and that the relationship between p and σ 0 can be used to estimate the magnitude of differential stress without the need to measure grain-size data for several hundred grains with a wide range of aspect ratios.

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“…There either parallel fractures appear or objects are divided into fragments. For this relatively simple case successful models exist (Gille & Wetzig 1983; Stoyan 1987; Masuda et al 2003; Sahimi 2003, see e.g. Calka et al 2005).…”

Section: The Stochastic Modelmentioning

confidence: 99%

Geometrical-statistical modelling of systems of fracture zones along oceanic ridges

Lochmann¹,

Gloaguen

Stoyan

2007

Geophysical Journal International

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S U M M A R YA mechanical-statistical model is presented that aims to help to understand the history and geometry of the process of formation of fracture zones along oceanic ridges. It uses ideas of statistical fracture theory used in engineering, namely the Weibull fracture model. The approximate parallelism of the fracture zones along ridges makes it possible to use a onedimensional point process model with points along the ridge axes, which represent the transform faults. The ratios of the lengths of the corresponding fracture zones to the ocean width are used to obtain a rough estimate of the Weibull modulus, which is an important material parameter in fracture theory. The theory is refined by introducing a hard-core point process model. The corresponding positive minimum distance between subsequent fracture zones results from stress relaxation in the vicinity of a given fracture zone.

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Progress in microboudin method for palaeo-stress analysis of metamorphic tectonites: application of mathematically refined expression

Cited by 20 publications

References 21 publications

Microboudin structures of piemontite along the Sambagawa metamorphic belt, Japan: implications for lateral variation of differential stress during regional metamorphism

Microboudin structures of piemontite along the Sambagawa metamorphic belt, Japan: implications for lateral variation of differential stress during regional metamorphism

The relationship between the proportion of microboudinaged columnar grains and far–field differential stress: A numerical model for analyzing paleodifferential stress

Geometrical-statistical modelling of systems of fracture zones along oceanic ridges

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