Vectorial Formulation of Direction Cosines for Anisotropic Geologic Structures from Their Geologic Angle Measurements |
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| Authors: | Jun-Mo Kim |
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| Institution: | (1) School of Earth and Environmental Sciences, Seoul National University, Seoul, 151-742, Republic of Korea |
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| Abstract: | On the basis of vectorial formulation, a series of relatively simple closed-form mathematical equations is presented to determine
the direction cosines of the local coordinate axes associated with planar and linear structures in an anisotropic geologic
material from their geologic angle measurements (i.e., strike and dip for planar structures and trend and plunge for linear
structures). The equations are then applied to calculation of global anisotropic hydraulic conductivity and elastic stiffness
tensors with respect to the geographical coordinate axes from their local counterparts with respect to the material symmetry
axes. |
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| Keywords: | planar structures linear structures angle measurements vector cross product direction cosines coordinate transformation anisotropic tensors |
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