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Orientation tensor
In geology, especially in the study of glacial till, eigenvectors and eigenvalues are used as a method by which a mass of information of a clast fabric's constituents' orientation and dip can be summarized in a 3-D space by six numbers. In the field, a geologist may collect such data for hundreds or thousands of clasts in a soil sample, which can only be compared graphically such as in a Tri-Plot (Sneed and Folk) diagram,〔Graham, D., and Midgley, N., 2000. Earth Surface Processes and Landforms (25) pp 1473–1477〕〔Sneed ED, Folk RL. 1958. Pebbles in the lower Colorado River, Texas, a study of particle morphogenesis. Journal of Geology 66(2): 114–150〕 or as a stereographic projection.〔(GIS-stereoplot: an interactive stereonet plotting module for ArcView 3.0 geographic information system )〕 The output for the orientation tensor is in the three orthogonal (perpendicular) axes of space.
Eigenvectors output from programs such as Stereo32 〔(Stereo32 )〕 are in the order E1 > E2 > E3, with E1 being the primary orientation of clast orientation/dip, E2 being the secondary and E3 being the tertiary, in terms of strength. The clast orientation is defined as the Eigenvector, on a compass rose of 360°. Dip is measured as the Eigenvalue, the modulus of the tensor: this is valued from 0° (no dip) to 90° (vertical). Various values of E1, E2 and E3 mean different things, as can be seen in the book 'A Practical Guide to the Study of Glacial Sediments' by Benn & Evans, 2004.〔Benn, D., Evans, D., 2004. A Practical Guide to the study of Glacial Sediments. London: Arnold. pp 103–107〕
==References==
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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