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Probabilistic approach to the study of jointing in rock masses
Summary Use of mathematical statistics methods for description of sets of joints in rocks is put forward in this paper. The determination of the presence of a set of joints is performed with the help of the $ χ^{2} $-criterion. The azimuth and angles of dip of joints are considered to be distributed in conformity with the normal law. Mathematical expectations and dispersions of azimuths and dip angles are the parameters of a set of joints to be determined; these parameters being found, the ellipses of dispersion are plotted. These ellipses control the location and configuration of existing sets of joints. The method proposed not only reveals, with required degree of reliability, the presence of a set of joints but also allows the determination of all the quantitative characteristics of joints.
Probabilistic approach to the study of jointing in rock masses
Summary Use of mathematical statistics methods for description of sets of joints in rocks is put forward in this paper. The determination of the presence of a set of joints is performed with the help of the $ χ^{2} $-criterion. The azimuth and angles of dip of joints are considered to be distributed in conformity with the normal law. Mathematical expectations and dispersions of azimuths and dip angles are the parameters of a set of joints to be determined; these parameters being found, the ellipses of dispersion are plotted. These ellipses control the location and configuration of existing sets of joints. The method proposed not only reveals, with required degree of reliability, the presence of a set of joints but also allows the determination of all the quantitative characteristics of joints.
Probabilistic approach to the study of jointing in rock masses
Gaziev, E. G. (author) / Tiden, E. N. (author)
1979
Article (Journal)
English
Probabilistic approach to the study of jointing in rock masses
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