Statistical Analysis Of Rock Fabrics
Abstract
The main goal of the work is to present new procedures for statistical
analysis of fabric data for structural geology. After an
introduction to the problems of orientation analysis, discussion
of different types of the orientation data and a brief review of the
existing techniques and statistics for the orientation data, a
comprehensive discussion of several proposed methods is given.
The first part of the methodology chapter states a general model in
terms of a structural frame and introduces some notation. The second
part is a detailed description of a pooled estimator, which is
intended to assess a structural frame mean orientation using different
sorts of data simultaneously. The third part is a discussion of a
regression model in a transformed space. Four sub-models are derived
and a method for fitting is provided. This chapter ends with a brief
coverage of a problem of spatial autocorrelation.
Next chapter presents a sample analysis of the Kukas lake structure of
the Baltic shield, North West Russia. This dataset is analized by all
the models. The obtained trends and orientations are
plotted in various ways. A residual analysis for the models closes
the chapter.