Abstract
Our investigations relate the stability to stress-distribution in overthrusting slabs. Finite-element models have been formulated to evaluate the magnitude and orientation of stress within overthrusting slabs under given boundary conditions of displacement. The Mohr-Coulomb criterion has been adopted to define a zone of failure. In addition to a simple model to describe idealized slabs, the tectonic deformation of the Jura decollement has been modelled.
The computations were carried out with a program which enables the simulation of elastic/ideal plastic behavior. For the first simulation the stability of an overthrusting crustal slab is considered, assuming a left-to-right displacement with the right hand edge fixed expect for the lowest 1 km thick layer. The cases of a completely homogeneous slab, of a slab with one layer of lower strength, and of a slab with two low-strength layers, were considered in different simulation experiments. Deformation of the homogeneous body could not produce a clearly defined detachment-surface. In the one-layered block, the low-strength layer acts as a detachment-surface. The ratio of the length of the thrust plate to its thickness is 4/1 (16 km long for a 4 km thick thrust, or 40 km long for a 10 km thick plate) in this test. However, by varying the composition of the layering, the length/thickness ratio of a multiple thrust complex can be 20/1 or 80 km long for a 4 km thickness plate. This ratio is comparable to that observed in the cover nappes and rigid-basement nappe-complexes of the Alps.
In the case of the Jura-overthrust, two different models have been investigated: by rotation on a concave detachment horizon (“distant-push” theory) and subduction of the crystalline basement under the Aare-massif (“underthrusting” theory). As ductile shear-horizon, we assumed a 100-m thick layer of anhydrite. The material constants have been determined by triaxial deformation experiments. The analyses clearly show tha the Jura mountains could hardly have been deformed in the manner postulated by the “distant-push” theory. On the other hand, the assumption of the underthrusting model can result in satisfactory simulation of field observations.
Contribution No. 145 of the Laboratory of Experimental Geology.
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References
Anderson, E. M.: The Dynamics of Faulting. Oliver and Boyd, London, 183 p. (1942).
Bock, H.: Vielfache Bruchstrukturen bei einfachen Beanspruchungen. Geol. Rundschau 61 (3), 824–849 (1972).
Bürgisser, H.: Sedimentologie der oberen Süßwasser-Molasse. Ph. D. Thesis, ETH Zürich (1980).
Buxtorf, A.: Geologische Beschreibung des Weissenstein-Tunnels und seiner Umgebung. Beitr. geol. Karte Schweiz (NF) 21 (1907).
Clark, S. P.: Handbook of Physical Constants. Geol. Soc. Amer. Mem. 97, 587 p. (1966).
Couples, G.: Stress and Shear Fracture (Fault) Patterns. Stress in Earth. Birkhäuser Verlag, Basel, 113–134 (1977).
Dietrich, J. H., Carter, N. L.: Stress History of Folding. Amer. J. Sci. 267, 129–154 (1969).
Dietrich, J. H., Onat, E. T.: Slow Finite Deformation of Viscous Solids. J. Geophys. Res. 74, 2081–2088 (1969).
Drucker, D. C., Prager, W.: Soil Mechanics and Plastic Analysis Limit Design. Quart. Appl. Math. 10, 157–165 (1952).
Finckh, P.: Wärmeflußmessungen in Randalpenseen. Ph. D. Thesis, ETH Zurich (1976).
Finckh, P.: Heat Flow Measurements in 17 Peri-Alpine Lakes (1980).
Fischer, H., Luterbacher, H.: Das Mesozoikum der Bohrungen Courtion 1 und Altishofen 1. Beitr. geol. Karte Schweiz (N. F.) 115, 1–40 (1963).
Hafner, ‘W.: Stress Distribution and Faulting. Geol. Soc. Amer. Bull. 62, 373–398 (1951).
Handin, J.: On the Coulomb-Mohr Failure Criterion. J. Geophys. Res. 74 (22), 5343–5348 (1969).
Hsü, K. J.: Statics and Kinetics of the Glarus Overthrust. Eclog. geol. Hell. 62 (1), 143–154 (1969).
Hsü, K. J.: Thin-Skinned Plate Tectonics During Neo-Alpine Orogenesis. Am. Jour. Sci. 279, 353–366 (1979)
Hubbert, M. K., Rubey, W. W.: Role of Fluid Pressure in Mechanics of Overthrust Folding. Geol. Soc. Amer. Bull. 70, 115–166 (1959).
Jaeger, J. C.: Elasticity, Fracture, and Flow. Methuen, London (1969).
Kovari, K.: Ein Beitrag zum Bemessungsproblem von Untertagbauten. Schweiz. Bauzeitung 87, 37 (1969).
Kovari, K.: The Elasto-Plastic Analysis in the Design Practice of Underground Openings. Prof. Int. Symp. on Numerical Methods in Soil Mechanics and Rock Mechanics, Karlsruhe, Sept. 1975.
Laubscher, H. P.: Die Fernschubhypothese der Jurafaltung. Eclog. geol. Hely. 54 (1), 221–282 (1961).
Laubscher, H. P.: Geometrical Adjustments During Rotation of a Jura Fold Limb. Tectonophysics 36, 347–365 (1976).
Laubscher, H. P.: Jura Kinematics and Dynamics. Eclog. geol. Helv. 72 (2), 467–483 (1979).
Müller, W. H.: Simulation von tektonischen Überschiebungen mit Hilfe der Methode der endlichen Elemente. Ph. D. Thesis, ETH Zurich, 91 p. (1975).
Müller, W. H., Briegel, U.: Experimentelle Untersuchungen an Anhydrit aus der Schweiz. Eclog. geol. Helv. 70 (3), 685–699 (1977).
Müller, W. H., Briegel, U.: The Rheological Behavior of Polycrystalline Anhydrite. Eclog. geol. Hell. 71 (2), 397–407 (1978).
Müller, W. H., Briegel, U.: On the Mechanics of the Jura Overthrust. Eclog. geol. Hell. 73 (1) (1980).
Rybach, L., Bodmer, P., Pavoni, N., Müller, St.: Siting Criteria for Heat Extraction from Hot Rock. Pure and Appl. Geophys. 116, 1211–1224 (1978).
Smoluchowski, M. S.: Some Remarks on the Mechanics of Overthrusting. Geol. Mag., n. s. 6, 204–205 (1909).
Trümpy, R.: Paleotectonic Evolution of the Central and Western Alps. Bull. Geol. Soc. Amer. 71 (6), 843–908 (1960).
Trümpy, R.: Die helvetischen Decken der Ostschweiz. Eclog. geol. Helv. 62, 105–142 (1969).
Umbgrove, J. H. F.: Origin of the Jura Mountains. Kon. Akad. Wetenschap. Nederland, Proc. 51, 1019–1062 (1948).
Voight, B., Samuelson, B.: On the Application of Finite-Element Techniques to Problems Concerning Potential Distribution and Stress Distribution Analysis in the Earth Sciences. Pure and Appl. Geophysics 76, 40–55 (1969).
Von Herzen, R. P., Finckh, P., Hsü, K. J.: Heatflow Measurements in Swiss Lakes. J. Geophys. 40, 141–172 (1974).
Zienkiewicz, O. C., Cheung, Y. K.: The Finite Element Method in Structural and Continuums Mechanics. McGraw-Hill, New York (1967).
Zienkiewicz, O. C., Valliappan, S., King, J. P.: Elastoplastic Solutions of Engineering Problems’ Initial Stress; Finite Element Approach. Intern. J. for Num. Method in Eng. 1, 75–100 (1969).
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Müller, W.H., Hsü, K.J. (1980). Stress Distribution in Overthrusting Slabs and Mechanics of Jura Deformation. In: Scheidegger, A.E. (eds) Tectonic Stresses in the Alpine-Mediterranean Region. Rock Mechanics / Felsmechanik / Mécanique des Roches, vol 9. Springer, Vienna. https://doi.org/10.1007/978-3-7091-8588-9_22
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DOI: https://doi.org/10.1007/978-3-7091-8588-9_22
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