An Introduction to the Study of Fabrics of Geological Bodies by Author B. Sander

By Author B. Sander

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It is, for example, possible that a finely laminated facies may continue to be laid down at many places in the region of formation whilst in individual vertical successions of the same period of formation coarse clastic components appear instead. This period of formation is the time required for the deposition of a layer Fx extending over wider areas. As we have noted, there may be inversion of succession in a particular restricted component facies of the more widely extending total facies F{, which, moreover, may itself be a component facies of higher order within a formation of still more widespread extent than Ft.

The spreading in itself obscures the symmetry determined geometrically by the closepacking, but it can be accompanied by a new fabric symmetry which for example portrays the symmetry of a system of dilatant shear- or tensional-forces which may form joints. In the case of translation symmetry (p. 28), space-rhythmically packed fabrics originating by apposition on already packed material may only partly be conceived as the portrayal of time-rhythmic apposition. Thus, for example, from consideration of crystal growth we can derive the following theoretical distinctions: All crystals have a space-rhythmic apposition fabric.

If we substitute x, y, z in this equation by x\ y', z' from equation (1) we obtain an ellipse as the result of the affine translation. (*' - vz')2 + z'2 = R2; y' = 0. (2) x'2 - Ivx'z' + z'\v2 + 1) = R2; y = 0. Calculation shows that the principal axes A > C of this ellipse make an angle fi with the ^-axis, for which tan 2fi = —. v (3) t A = — R — multiplication yields the equation (4) ; s~*? c A2C2 = R4 = — — ——^— 9 37 INTRODUCTION TO CONCEPTS for any affine translation with any chosen v. This gives a triaxial ellipsoid (A, B, C), for which B — R and A and C are determined by equation 3.

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