1. Home
  2. GeoTerrace
  3. All Submission
  4. Horizontal deformations and the stressed state of the Earth surface caused by reorientation of the shape of the lithosphere

Horizontal deformations and the stressed state of the Earth surface caused by reorientation of the shape of the lithosphere

Earth Surface Processes & Geodynamics

Authors

First and Last Name Academic degree E-mail Affiliation
Anatolii Tserklevych Ph.D. anatolii.l.tserklevych [at] lpnu.ua Lviv Polytechnic National University
Lviv, Ukraine
Yevhenii Shylo Ph.D. yevhenii.o.shylo [at] lpnu.ua Lviv Polytechnic National University
Lviv, Ukraine
Olha Shylo No olha.m.shylo [at] lpnu.ua Lviv Polytechnic National University
Lviv, Ukraine
Oleksandr Zayats Ph.D. oleksandr.s.zaiats [at] lpnu.ua Lviv Polytechnic National University
Lviv, Ukraine

I and my co-authors (if any) authorize the use of the Paper in accordance with the Creative Commons CC BY license

First published on this website: 13.08.2022 - 12:30
Abstract 

The surface of the lithosphere is geometrically rotated relative to the geoid, and in geological time the orientation of these shapes and the parameters of the ellipsoids that approximate them have changed. This ambiguity between the shape of the lithosphere and the shape of the geoid can create stresses, aimed at masses redistribution within lithosphere in compliance with the shape of the geoid. The parameters of the biaxial and triaxial ellipsoids were derived based on the digital elevation model ETOPO1. The digital elevation model paleoDEM, was used to model the transformation of the shape of the Earth and assess the impact of its reorientation on the stressed-deformed state of the lithosphere in distant geological epochs. Equations for computation of displacements and deformations, which are related to the transformation of the figure and the orientation of the upper shell of the planet, are given. The interpretation of the obtained results of studies of the planetary dynamics of the shape of the Earth's lithosphere and the global deformation state is given.

Keywords 
digital elevation model
stress state of the lithosphere
shear deformation
References 

Gadomska B. & Teisseyre R. (1984). Density anomalies, geoid and stresses. Acta Gephys. Pol., 1-24.

Moritz, G. (1994). Figure of the Earth: Theoretical geodesy and internal structure of the Earth. Kyiv: (In Russian).

Rashevsky P. (1967). Riemannian geometry and tensor analysis. Moskow: Nauka. (In Russian).

Scotese, C.R., & Wright, N. (2018). PALEOMAP Paleodigital Elevation Models (PaleoDEMS) for the Phanerozoic PALEOMAP Project. Retrieved from https://www.earthbyte.org/paleodem-resourcescotese-and-wright-2018/

Tseklevych A., Zayats O., Shylo E. (2016). Approximation of heights of the Earth's physical surface by biaxial and triaxial ellipsoids. Geodynamics, 40-49. (In Ukrainian).

Tserklevych A., & Shylo Ye. (2018). Figure of the Earth's lithosphere and geotectonics. Reports of the National Academy of Sciences of Ukraine, 67-72. (In Ukrainian).

Tserklevych, A.L., Zayats, O.S. & Shylo, Y.O. (2017). Dynamics of the Earth shape transformation. Physics of Celestial Bodies, 130-141.