ALGORITHM FOR CALCULATING NEOTECTONIC STRESSES IN PLATFORM AREAS BY THE STRUCTURAL-GEOMORPHOLOGICAL METHOD

An algorithm for calculating stress values proposed here is based on the results of reconstruction performed by L.A. Sim’s structural-geomorphological method for platform areas. This method makes it possible to determine the orientation of the axes of principal stresses for the shear zones from the lineament analysis of satellite images and photographs and Gzovsky’s palette, and to identify the lineaments characterizing the basement active faults which are covered by sediments. It is proposed that the dataset obtained will be subjected to the algorithm of the second-stage method of Cataclastic Analysis of faulting displacements, in which the Mohr diagram is used to calculate the stress values normalized for the cohesion strength of the massif. The further determination of the cohesion strength and absolute stress values is based on the data for lithostatic pressure and fluid pressure in the fracture-pore space of the massif (either measured or prescriptive). The stress calculation algorithm was tested on a small area (60 square km of satellite imagery) near the territorial district of Seversk – the southern border of the West Siberian Platform. The calculations have shown that with the fluid pressure variations ranging from hydrostatic values to twice higher than those, the cohesion strength of a rock mass at the base of the sedimentary cover (500 m depth) is in the range of 41.0 to 16.8 bar, and the level of maximum tangential stresses lies in the range of 75 to 31 bar.

1. Angelier J., 1975. Sur L’analyse de Mesures Recueillies Dans des Sites Failles: L’utilite D’une Confrontation Entre les Methodes Dynamiques et Cinematiquues. Comptes Rendus de l’Académie des Sciences 281, 1805−1808.

2. Angelier J., 1989. From Orientation to Magnitude in Paleostress Determinations Using Fault Slip Data. Journal of Structural Geology 11 (1–2), 37−49. https://doi.org/10.1016/0191-8141(89)90034-5.

3. Arthaud F., 1969. Methode de Determination Graphique des Directions de Raccourcissement, D’allogement et Intermediare D’une Population de Failles. Bulletin de la Société Géologique de France S7-XI (5), 729−737. https://doi.org/10.2113/gssgfbull.S7-XI.5.729.

4. Brace W.F., 1978. Volume Changes during Fracture and Frictional Sliding: A Review. Pure and Applied Geophysics 116, 603−614. https://doi.org/10.1007/BF00876527.

5. Byerlee J.D., 1978. Friction of Rocks. Pure and Applied Geophysics 116, 615–626. https://doi.org/10.1007/978-3-0348-7182-2_4.

6. Carey E., Bruneier B., 1974. Analyse Theorique et Numerique d’un Modele Mecanique Elementaire Applique a L’etude D’une Populaton de Failles. Comptes Rendus de l’Académie des Sciences 279, 891−894.

7. Gephart J.W., Forsyth D.W., 1984. An Improved Method for Determining the Regional Stress Tensor Using Earthquake Focal Mechanism Data: Application to the San Fernando Earthquake Sequence. Journal of Geophysical Research: Solid Earth 89 (B11), 9305–9320. https://doi.org/10.1029/JB089iB11p09305.

8. Glinskiy M.L., Egorova V.A., Chertkov L.G., Zubkov A.A., Danilov V.V., Zavodiy T.Yu., Zakharova E.V., 2013. Monitoring of Underground Liquid Radioactive Waste Repository Produced by Siberian Chemical Plant. Prospect and Protection of Mineral Resources 10, 66–71 (in Russian)

9. Gogonenkov G.N., Kashik A.S., Timurziev A.I., 2007. Horizontal Displacements of West Siberia’s Basement. Russian Oil and Gas Geology 3, 3–11 (in Russian)

10. Gushchenko O.I., 1975. Kinematic Principle for Reconstructing Directions of Principal Stresses (from Geological and Seismological Data). Doklady of the USSR Academy of Sciences 225 (3), 557–560 (in Russian)

11. Gzovsky M.V., 1975. Fundamentals of Tectonophysics. Nauka, Moscow, 536 p. (in Russian)

12. Kissin I.G., 2009. Fluids in the Earth’s Crust: Geophysical and Tectonical Aspects. Nauka, Moscow, 329 p. (in Russian)

13. Kozhurin A.I., 2013. Active Geodynamics of the Northwestern Sector of the Pacific Tectonic Belt (According to the Data of the Study of Active Faults). PhD Thesis (Doctor of Geology and Mineralogy). Moscow, 131 p. (in Russian)

14. Lisle R., 1987. Principal Stress Orientation from Faults: An Additional Constrain. Annales Tectonicae 1 (2), 155−158.

15. Marrett R., Allmendinger R.W., 1990. Kinematic Analysis of Fault Slip Data. Journal of Structural Geology 12 (8), 973–986. https://doi.org/10.1016/0191-8141(90)90093-E.

16. Michael A.J., 1984. Determination of Stress from Slip Data: Faults and Folds. Journal of Geophysical Research: Solid Earth 89 (B13), 11517–11526. https://doi.org/10.1029/JB089iB13p11517.

17. Michael A.J., 1987a. Stress Rotation during the Coalinga Aftershock Sequence. Journal of Geophysical Research: Solid Earth 92 (B8), 7963–7979. https://doi.org/10.1029/JB092iB08p07963.

18. Michael A.J., 1987b. The Use of Focal Mechanisms to Determine Stress: A Control Study. Journal of Geophysical Research: Solid Earth 92 (1), 357–368. https://doi.org/10.1029/JB092iB01p00357.

19. Mikhailova A.V., 2007. Geodynamic Characteristics of Structures Formed in the Layer above Active Faults in the Basement. In: Geophysics of the XXI Century: The Year of 2006. Proceedings of the Eighth Geophysical Readings Named after V.V. Fedynsky (March 02–04, 2006). GERS, Tver, p. 111–118 (in Russian)

20. Neotectonic Map of Northern Eurasia, 1997. 1:5000000 Scale. Joint Institute of Physics of the Earth RAS, Moscow (in Russian)

21. Rebetsky Yu.L., 1987. The Stress State of a Layer during a Longitudinal Horizontal Shift of Its Foundation Blocks. In: Yu.D. Boulanger (Ed.), Fields of Stress and Deformation in the Earth’s Crust. Nauka, Moscow, p. 41–57 (in Russian)

22. Rebetsky Yu.L., 1988. Stress State of the Layer with Longitudinal Shear. Izvestiya, Physics of the Solid Earth 24 (9), 698–703.

23. Rebetsky Yu.L., 1997. Reconstruction of Tectonic Stresses and Seismotectonic Strain: Methodical Fundamentals, Current Stress Field of Southeastern Asia and Oceania. Doklady of the Russian Academy of Science 354 (4), 560–563.

24. Rebetsky Yu.L., 1999. Methods for Reconstructing Tectonic Stresses and Seismotectonic Deformations Based on the Modern Theory of Plasticity. Doklady Earth Sciences 365 (3), 370–373.

25. Rebetsky Yu.L., 2007. Tectonic Stresses and Strength of Mountain Ranges. Nauka, Moscow, 406 p. (in Russian)

26. Rebetsky Yu.L., Mikhailova A.V., 2011. The Role of Gravity in Formation of Deep Structure of Shear Zones. Geodynamics & Tectonophysics 2 (1), 45–67 (in Russian) https://doi.org/10.5800/GT-2011-2-1-0033.

27. Rebetsky Yu.L., Mikhailova A.V., 2014. Deep Heterogeneity of the Stress State in the Horizontal Shear Zones. Izvestiya, Physics of the Solid Earth 50, 824–838. https://doi.org/10.1134/S1069351314060068.

28. Rebetsky Yu.L., Mikhailova A.V., Rosanova G.V., Fursova E.V., 1997. II. Stress-Monitoring: The Modern Field of Regional Stresses in South-East Asia and Oceania. Principles of Quasiplastic Deforming of Fractured Media. Journal of Earthquake Prediction Research 6 (1), 11–36.

29. Reches Z., 1978. Analysis of Faulting in Three-Dimensional Strain Field. Tectonophysics 47 (1–2), 109–129.

30. Reches Z., 1983. Faulting of Rock in Three-Dimensional Strain Fields II. Theoretical Analysis. Tectonophysics 95 (1–2), 133–156. https://doi.org/10.1016/0040-1951(83)90264-0.

31. Sherman S.I., Bornyakov S.A., Buddo V.Yu., 1983. Areas of Dynamic Influence of Faults (Modelling Results). Nauka, Novosibirsk, 112 р. (in Russian)

32. Sim L.A., 1991. The Study of Tectonic Stresses by Geological Indicators (Methods, Results, Recommendations). Proceedings of Higher Educational Establishments. Geology and Exploration 10, 3–22 (in Russia)

33. Sim L.A., 2000. The Influence of Global Tectogenesis on the Latest Tense State of the Platforms of Europe. In: Yu.G. Leonov (Ed.), M.V. Gzovsky and the Development of Tectonophysics. Nauka, Moscow, p. 326–350 (in Russia)

34. Sim L.A., Bryantseva G.V., 2007. The Latest Tectonics and Neotectonic Stresses of the North of the West Siberian Plate. Bulletin of Moscow Society of Naturalists. Geological Section 82 (6), 3–10 (in Russian)

35. Stefanov Yu.P., Bakeev R.A., Rebetsky Yu.L., Kontorovich V.A., 2014. Structure and Formation Stages of a Fault Zone in a Geomedium Layer in Strike-Slip Displacement of the Basement. Physical Mesomechanics 17, 204–215. https://doi.org/10.1134/S1029959914030059.

36. Trifonov V.G., Kozhurin A.I., Lukina N.V., 1993. Study and Mapping of Active Faults. In: Seismicity and Seismic Zoning of North Eurasia. Vol. 1. P. 196–206 (in Russian)

37. Yunga S.L., 1979. On the Mechanism of Deformation of a Seismically Active Volume of the Crust. Bulletin of the USSR Academy of Sciences. Physics of the Earth 10, 14–23 (in Russian)

38. Zhalkovsky N.D., Kuchai O.A., Muchnaya V.I., 1995. Seismicity and Some Characteristics of the Stress State of the Earth’s Crust of the Altai-Sayan Region. Russian Geology and Geophysics 10 (36), 20–30 (in Russian)

39. Zhalkovsky N.D., Muchnaya V.I., 1975. Some Results of Macroseismic Studies of Strong Earthquakes in the Altai-Sayan Region. In: V.N. Gaisky (Ed.), Seismicity of the Altai-Sayan Region. Collection of Scientific Papers. Institute of Geology and Geophysics of the USSR Academy of Sciences, Novosibirsk, p. 5–15 (in Russian)

40. Zoback M.D., 2007. Reservoir Geomechanics. Cambridge University Press, 505 p. https://doi.org/10.1017/CBO9780511586477.

41. Zubkov A.A., Lukin A.A., Gusev E.V., Chernyaev E.V., 2005. History of Engineering and Geological Provision of the Polygon for Underground Disposal of Liquid Radioactive Wastes of the Siberian Chemical Plant. Bulletin of the Tomsk Polytechnic University 308 (2), 194–200 (in Russian)