A statistical approach to determination of a mineral lineation

Masuda, Toshiaki; Kugimiya, Yasuo; Aoshima, Itsuko; Hara, Yuko; Ikei, Hideaki

doi:10.1016/s0191-8141(99)00005-x

Cited by 37 publications

(14 citation statements)

References 12 publications

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“…This suggests that the threshold velocity of Nautilus shells is nearly constant, regardless of bottom type. Table 2 and Figures 3 and 4 show the results of the experimental phase on restraint orientation: (1) most shells Abbreviations (see also Masuda et al, 1999;and Davis, 2002); , mean restraint direction; , mean resultant length; d 0 , confidence interval for R mean direction ( pϽ0.05). (2) the orientations exhibit nearly bilateral symmetry-the orientation range for shells with their left sides upward was 180-190Њ, and for those with their right sides upward was 170-180Њ; (3) larger shells showed a stronger preferred orientation; (4) shells where the body chambers were cut artificially showed a wide array of orientations; (5) the numbers of shells with left or right sides upward were nearly identical; (6) shells with their left side upward tended to settle on the right half of the flume, facing downstream, and vice versa (especially for larger shells; Fig.…”

Section: Discussionmentioning

confidence: 99%

Planispiral Cephalopod Shells as a Sensitive Indicator of Modern and Ancient Bottom Currents: New Data from Flow Experiments with Modern Nautilus pompilius

Wani

Ikeda

2006

PALAIOS

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Section: Discussionmentioning

confidence: 99%

Planispiral Cephalopod Shells as a Sensitive Indicator of Modern and Ancient Bottom Currents: New Data from Flow Experiments with Modern Nautilus pompilius

Wani

Ikeda

2006

PALAIOS

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“…1b). The lineation is defined by the alignment of tourmaline long axes upon the foliation, based on the method of Masuda et al (1999). We selected tourmaline grains with long axes within ±15°of the mineral lineation on the foliation surface in accordance with the procedure described by Masuda et al (2011).…”

Section: Dataset Used For the Calculationsmentioning

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 are several methods available to quantify the SPO like R f − Φ method (Ramsay 1967), Paror and Surfor method (Panozzo Heilbronner 1992) and von Mises distribution (Masuda et al 1999;Piazolo and Passchier 2002). In the present study, von Mises distribution is used to obtain the statistical concentration parameter (k).…”

Section: Shape Preferred Orientation (Spo)mentioning

confidence: 99%

“…Higher value of k implies stronger preferred orientation of minerals. The statistical details about k is provided by Masuda et al (1999).…”

Section: Shape Preferred Orientation (Spo)mentioning

confidence: 99%

Seismic properties of naturally deformed quartzites of the Alaknanda valley, Garhwal Himalaya, India

2015

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The present contribution summarizes the results of a study focusing on the influence of quartz microstructures on the seismic wave velocities in the quartzites of the Garhwal Himalaya. Quartzites being monomineralic were chosen for the present study so as to nullify the effect of other mineral constituents on the seismic velocity. Samples were collected from different tectonic settings of the Higher and Lesser Himalayas which are separated from one another by the major tectonic zone 'Main Central Thrust' (MCT). These are mainly Pandukeshwar quartzite, Tapovan quartzite and Berinag quartzite. The samples of Berinag quartzite were collected from near the klippen and the thrust, termed as Alaknanda Thrust. The vast differences in microstructures and associated seismic wave velocities have been noted in different quartzites. It has also been observed that quartzites of the MCT zone and Alaknanda Thrust have higher seismic velocities. This is because of their coarse-grained nature of the rocks as evidenced by the strong positive relation between seismic velocities and grain area. The coarsening is either due to the operation of grain boundary migration and grain area reduction process or high aspect ratio/shape preferred orientation. The quartzites located around Nandprayag Klippen have undergone static recrystallization and exhibit the lowest seismic wave velocities.

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A statistical approach to determination of a mineral lineation

Cited by 37 publications

References 12 publications

Planispiral Cephalopod Shells as a Sensitive Indicator of Modern and Ancient Bottom Currents: New Data from Flow Experiments with Modern Nautilus pompilius

Planispiral Cephalopod Shells as a Sensitive Indicator of Modern and Ancient Bottom Currents: New Data from Flow Experiments with Modern Nautilus pompilius

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

Seismic properties of naturally deformed quartzites of the Alaknanda valley, Garhwal Himalaya, India

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