Indentaion of a  continent with a built-in thickness change: experiment and nature.

Sokoutis D., S. E. Medvedev, M. Bonini, M. Boccaletti, C. J. Talbot & H. Koyi.
Tectonophysics,  320, 243-270.  (Full text in PDF)

            This paper deals with an analogue model aimed to investigate the influence of variations in crustal thickness during continental convergence. 
            The most popular explanation of orogens oblique to the convergence direction is that sutured continental margins were also oblique to the convergence direction. This paper introduces a new factor that may be involved in oblique orogens: a variation in integrated strength in a direction perpendicular to the regional convergence direction. The wavelengths of compressional structures in the lithosphere depend on the thickness of its most competent layers. Lateral variations in thickness must therefore induce oblique structures during continental convergence. Several sectors along the Alpine-Himalayan orogenic belt have this configuration.
             An analogue experiment was performed to illustrate this model. This experiment was based on a three-layer analogue of the lithosphere: an upper crust of sand, a lower crust of a high-viscous polymer and a mantle of syrup with low viscosity. The model was constracted with an initial built-in thickness variations in the sand layer and shortened in the direction perpendicular to these variations. The shortening was performed by moving one wall while other walls remained fixed. The model scaling and interpretation were based on the ETSA and standard theories of faulting.
            The interaction between external (lateral push) and internal (buoyancy) forces complicates the deformations. These deformations were subdivided into several stages and the most significant forces were analysed during each stage.
            A system of faults sheared the brittle sand layer into a pattern of blocks which deformed little. Kinematics of faults varied during the experiment and subdivided the deformation into several stages in which mainly vertical and mainly lateral escape alternate. A domain in front of the moving wall converted the translational movement of the external rigid indenter into an effective indenter. The main thrust belt bounding the effective indenter evolved from two fold-faults belts of different wavelengths and merged to an "orogenic wedge" essentially oblique to the direction of external push.
            The influence of the viscous layers was less recognisable then the sand layer during the experiment and requires further analysis. Application of the ETSA allows estimation of the different rates of isostatic adjustment and gravity spreading controlled mainly by viscous layers. It is also demonstrates that such investigations are impossible using thin sheet approximations of a lower order.
            As a collateral result of these investigations, the ETSA gives a  the channel flow solution for the two viscous layers perturbed in the upper, much more viscous, fluid. Bird (1991) and Kaufman and Royden (1994) applied variations of the MS approach to a similar problem to estimate lower crustal flow during deformations of the lithosphere. These analyses were successful because they used complicated rheologies. The ETSA is more appropriate than the MS approach because it can handle large variations of viscosity and allows solutions for even linear viscous fluids.
            The analysis of forces and deformations in the analogue experiment demonstrates that similar deformations can contribute to natural orogens developing oblique to their convergence direction. Results of the experiment were compared with natural orogenic complexes in Iran , Tunisia and the Eastern Alps.