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Determination of strain ellipsoid according to two-dimensional data on three or more intersection planes (1984)

Shao, J. ; Wang, C.

Springer

Mathematical geology 16 (1984), S. 823-833

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ISSN: 1573-8868

Keywords: deformation ellipsoid (strain ellipsoid) ; principal deformation axis (principal deformation direction) ; eigenvalue method ; least-squares method

Source: Springer Online Journal Archives 1860-2000

Topics: Geosciences , Mathematics

Notes: Abstract The eigenvalue method (Gendzwill and Stauffer, 1981) is adopted to determine three-dimensional deformation of geological bodies from two-dimensional data on three or more nonparallel sections. A least-squares method is employed to fit an overdetermined system for uniquely determining an ellipsoid. The inverse problem is treated more directly. Calculated examples show that the errors are caused mainly from inaccuracy of the procedures used to obtain two-dimensional data.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01036707

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