Skip to main content
Log in

Stresses and strains in a layer above moving blocks of a basement (According to mathematical and physical simulations)

  • Published:
Izvestiya, Physics of the Solid Earth Aims and scope Submit manuscript

Abstract

Complex tectonophysical modeling of the displacement structures in a deformable layer above the active faults in a rigid basement is carried out. These faults are supposed to be those along which a longitudinal shear (the slip on a vertical fault plane along the fault strike) or an oblique slip (strike slip with a normal or a thrust slip along a vertical or inclined fault plane) occurs. The layer being deformed simulates the sedimentary cover and the base simulates the crystalline basement. The initial stage of the process is described mathematically (calculated analytically). The stages of failure and deformation are traced by physical simulation on plastic-equivalent materials. Using finite element numerical modeling, the data are obtained for the comparison of the experimental results with the residual strains and with regions where the stresses exceed the ultimate strength. A comparative description is presented for the structures emerging above the aforementioned four types of faults. All the models are described for four amplitudes of the hanging wall movement along the fault plane in the basement: at the initial moment (analytical calculation), for amplitudes equal to 0.01H (H is the thickness of the layer), 0.1 H, and 0.5 H. The failure is compared with the plastic deformations. When doing this, in the strike-slip and in the strike-normal dip slip models, the data on the failure are taken from the experiment, whereas the boundaries of the failure in the rest of the models are yielded solely from the numerical modeling.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. A. S. Grigor’ev and A. V. Mikhailova, Combination of Theoretical and Experimental Methods in the Study of the Tectonic Structure Formation Processes. Experimental Tectonics in Theoretical and Applied Geology (Nauka, Moscow, 1985) pp. 131–147 [in Russian].

    Google Scholar 

  2. A. S. Grigor’ev, I. M. Volovich, A. V. Mikhailova, Yu. L. Rebetskii, and Z. E. Shakhmuradova, The Study of the Stress State, Kinematics and Development of Discontinuities of the Sedimentary Cover above the Active Faults in the Basement. Stress and Strain Fields in the Earth’s Crust (Nauka, Moscow, 1987) pp. 5–31 [in Russian].

    Google Scholar 

  3. A. S. Grigor’ev, I. M. Volovich, and Yu. L. Rebetskii, “The Problem of the Kinematics and Stress State of the Layer with the Mixed Boundary Conditions in the Context of the Interpretation of Recent Movements in the Platform Regions,” Izv. Akad. Nauk SSSR, Ser. Fizika Zemli, No. 7, 38–54 (1989).

  4. M. V. Gzovskii, Fundamentals of Tectonophysics (Nauka, Moscow, 1975) pp. 1–536 [in Russian].

    Google Scholar 

  5. A. V. Mikhailova, “The Geodynamic Characteristics of the Structures Formed in the Layer above the Active Faults in Basement,” in Geophysics of the 21st Century: 2006. Collected Papers of the Eighth Geophysical V.V. Fedynskii Readings, (Izd. GEOS, Moscow, 2007) pp. 111–119 [in Russian].

    Google Scholar 

  6. A. V. Mikhailova, “The Methodological Problems of Construction and Investigation of Tectonic Models with the Application of Plastic Equivalent Materials,” in Experimental Tectonics. Methods, Results, and Prospects (Nauka, Moscow, 1989) pp. 209–228 [in Russian].

    Google Scholar 

  7. A. V. Mikhailova and D. N. Osokina, “The Study of the Relationships between the Characteristics of the Vertical Surface Displacements and the Amount of Deformations at the Depth (on the Models),” in The Recent Movements of the Earth’s Crust (Tartu, 1973), No. 5, pp. 589–594 [in Russian].

  8. D. N. Osokina and N. Yu. Tsvetkova, “The Study of the Local Stress Field and the Prediction of the Secondary Disturbances in the Neighborhood of Tectonic Faults and in the Earthquake Sources with the Account the Third Principal Stress,” in Stress and Strain Fields in the Lithosphere (Nauka, Moscow, 1979) pp. 163–185 [in Russian].

    Google Scholar 

  9. Yu. L. Rebetskii, “The Stress State of a Layer with the Longitudinal Horizontal Shift of the Blocks of Its Basement,” in Stress and Strain Fields in the Earth’s Crust (Nauka, Moscow, 1987) pp. 41–57 [in Russian].

    Google Scholar 

  10. L. A. Sim and A. V. Mikhailova, “The Faults of the Sedimentary Cover of the Platforms and the Methods of Their Study,” in Transactions of the Laboratory of Tectonophysics of the Institute of Physics of the Earth, Russian Academy of Sciences, to the 40th Anniversary of Foundation (IFZ, Moscow, 2008) pp. 141–148 [in Russian].

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Original Russian Text © A.V. Mikhailova, 2010, published in Fizika Zemli, 2010, No. 5, pp. 70–76.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Mikhailova, A.V. Stresses and strains in a layer above moving blocks of a basement (According to mathematical and physical simulations). Izv., Phys. Solid Earth 46, 433–439 (2010). https://doi.org/10.1134/S1069351310050083

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1069351310050083

Keywords

Navigation