کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6922136 1448269 2018 31 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Automatic contouring of geologic fabric and finite strain data on the unit hyperboloid
ترجمه فارسی عنوان
تبدیل اتوماتیک پارچه های زمین شناسی و داده های کرنش محدود بر روی واحد هیپربلوئید
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
چکیده انگلیسی
Fabric and finite strain analysis, an integral part of studies of geologic structures and orogenic belts, is commonly done by the analysis of particles whose shapes can be approximated as ellipses. Given a sample of such particles, the mean and confidence intervals of particular parameters can be calculated, however, taking the extra step of plotting and contouring the density distribution can identify asymmetries or modes related to sedimentary fabrics or other factors. A common graphical strain analysis technique is to plot final ellipse ratios, Rf, versus orientations, ϕf on polar Elliott or Rf/ϕ plots to examine the density distribution. The plot may be contoured, however, it is desirable to have a contouring method that is rapid, reproducible, and based on the underlying geometry of the data. The unit hyperboloid, H2, gives a natural parameter space for two-dimensional strain, and various projections, including equal-area and stereographic, have useful properties for examining density distributions for anisotropy. An index, Ia, is given to quantify the magnitude and direction of anisotropy. Elliott and Rf/ϕ plots can be understood by applying hyperbolic geometry and recognizing them as projections of H2. These both distort area, however, so the equal-area projection is preferred for examining density distributions. The algorithm presented here gives fast, accurate, and reproducible contours of density distributions calculated directly on H2. The algorithm back-projects the data onto H2, where the density calculation is done at regular nodes using a weighting value based on the hyperboloid distribution, which is then contoured. It is implemented as an Octave compatible MATLAB function that plots ellipse data using a variety of projections, and calculates and displays contours of their density distribution on H2.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Geosciences - Volume 115, June 2018, Pages 134-142
نویسندگان
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