Microboudin structure of piedmontite in quartz schists: a proposal for a new indicator of relative palaeodifferential stress

Masuda, Toshiaki; Shibutani, Tomoki; Igarashi, Takanori; Kuriyama, M.

doi:10.1016/0040-1951(89)90124-8

Cited by 28 publications

(10 citation statements)

References 7 publications

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“…Weakest link theory Masuda et al (1989) used the weakest link theory (e.g., Paterson and Wong, 2005) to represent the probability of fracture strength in columnar grains, gðr; sÞ, as a function of aspect ratio (r) and fracture strength (s), as follows:…”

Section: Basic Theorymentioning

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%

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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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Section: Basic Theorymentioning

confidence: 99%

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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“…Jamison & Spang, 1976; Rowe & Rutter, 1990; Lacombe, 2001); and the microboudin method (Masuda et al ., 1989, 1990, 2003). The microboudin method was first proposed by Masuda et al . in 1989 as a method for inferring differential stress based on the prevalence and character of microboudinage structures of columnar minerals.…”

Section: Introductionmentioning

confidence: 99%

“…Two other methods have been proposed specifically for palaeostress analysis (Passchier & Trouw, 1996): the calcite-twin method (e.g. Jamison & Spang, 1976;Rowe & Rutter, 1990;Lacombe, 2001); and the microboudin method (Masuda et al, 1989(Masuda et al, , 1990(Masuda et al, , 2003. The microboudin method was first proposed by Masuda et al in 1989 as a method for inferring differential stress based on the prevalence and character of microboudinage structures of columnar minerals.…”

Section: Introductionmentioning

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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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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“…Like other mechanically-confined systematic joints, sets of cross joints develop through a process of "sequential infilling ", whereby new joints form in between existing joints (e.g., Hobbs, 1967;Gross, 1993a & b). Evidence for sequential infilling is provided by different amounts of vein filling in boudinaged piedmontite grains (Masuda and Kuriyama, 1988;Masuda et al, 1989Masuda et al, , 1990, as well as alternating curving and noncurving cross joints (Engelder and Gross, 1993). Because paths of cross joints #1 and #3 match theoretical trajectories, it appears they propagated as if in a homogeneous medium.…”

Section: Interpretation Of Cross Joints In the Monterey Formationmentioning

confidence: 96%

Theoretical analysis of cross joint geometries and their classification

Bai¹

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Microboudin structure of piedmontite in quartz schists: a proposal for a new indicator of relative palaeodifferential stress

Cited by 28 publications

References 7 publications

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

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

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

Theoretical analysis of cross joint geometries and their classification

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