TY - JOUR
T1 - Quantification of the spatial distribution of mineral phases and grains in rock using a 2-D multiple-area density map technique
AU - Kim, Sungshil
AU - Ree, Jin Han
N1 - Funding Information:
We thank Paul Bons and an anonymous reviewer for constructive comments and Fabrizio Storti for editorial handling. We also appreciate the invaluable advice by Jason Gruber on the use of Mesoscale Microstructure Simulation Project (MMSP) codes ( http://matforge.org/cmu/wiki/mmsp ). This work was supported by the National Research Foundation of Korea fund 2010-0024206 to Ree.
PY - 2012/2/5
Y1 - 2012/2/5
N2 - The most widely used method for quantitative analyses of the spatial distribution of grains in a rock body is the nearest-neighbor method (a position-based method), which recognizes the grain center as the position of the grain without consideration of grain size or shape. However, the spatial distribution of grains is influenced by their size and shape, as well as their position. Here, we propose a multiple-area density map (MADM) method to quantify the spatial distribution of phases or grains. The method is based on image analysis and simultaneously considers the position, size, shape, and proportion of grains. The MADM constructed by overlaying density maps of grain areas with a set of template size produces a normalized standard deviation (NSD) value of phase area density, which represents the degree to which it is spatially clustered. The NSD value is used to quantify the distribution of the phase, without considering individual grains. To identify the spatial distribution of individual grains, the method employs the clustering index (CI), which is calculated from the ratio of NSD to the reciprocal of the number of grains in a log-log plot.
AB - The most widely used method for quantitative analyses of the spatial distribution of grains in a rock body is the nearest-neighbor method (a position-based method), which recognizes the grain center as the position of the grain without consideration of grain size or shape. However, the spatial distribution of grains is influenced by their size and shape, as well as their position. Here, we propose a multiple-area density map (MADM) method to quantify the spatial distribution of phases or grains. The method is based on image analysis and simultaneously considers the position, size, shape, and proportion of grains. The MADM constructed by overlaying density maps of grain areas with a set of template size produces a normalized standard deviation (NSD) value of phase area density, which represents the degree to which it is spatially clustered. The NSD value is used to quantify the distribution of the phase, without considering individual grains. To identify the spatial distribution of individual grains, the method employs the clustering index (CI), which is calculated from the ratio of NSD to the reciprocal of the number of grains in a log-log plot.
KW - Clustering
KW - Grain growth
KW - Multiple-area density map
KW - Pinning effect
KW - Rock fabrics
KW - Spatial distribution
UR - http://www.scopus.com/inward/record.url?scp=84856470129&partnerID=8YFLogxK
U2 - 10.1016/j.tecto.2011.11.025
DO - 10.1016/j.tecto.2011.11.025
M3 - Article
AN - SCOPUS:84856470129
SN - 0040-1951
VL - 522-523
SP - 176
EP - 186
JO - Tectonophysics
JF - Tectonophysics
ER -