Folding of laterally compressed multilayers in the field of gravity, II numerical examples

Physics

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Scientific paper

Based on the mathematical theory of folding of stratified rocks and other layered global structures as developed in part 1 of this work, numerical calculations are presented for a number of systems exposed to lateral compression. In some of these systems the lateral compressive force is the only force operating, in others gravity is also acting. The models treated vary in complexity from a single layer embedded between infinite half spaces to structures of up to ten unlike strata which are welded together, have a free upper surface and are supported by a thick viscous substratum in the field of gravity. The purpose of the study is threefold: (1)to determine the characteristic (or dominant) wavelength(s) of systems with selected thickness ratios, viscosity ratios and density-contrast ratios among the unlike layers; 2)to determine the relative amplitudes of the folds on the different interfaces in multilayered systems; 3)to determine the relation between shortening by buckling (buckle-shortening) on the one hand, and shortening by homogeneous strain (layer-shortening) on the other. The results of the 16 unlike models treated numerically are expressed in dimensionless quantities thus making the models applicable equally well to small- and medium-scale folding of stratified rocks as to deformations of continental dimension of global shells such as the various layers in the Earth's crust and upper mantle.

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