Curvature Change of the Earth's Crust Surface in Iran by Analytical Deformation Theory

In the context of shell theory in continuum mechanics، based on three-dimensional displacement fields and assuming height as a differentiable function of the geodetic surface coordinates; analytical surface deformation theory provides a method for analyzing the contemporary state of surface deformation of the Earth''s crust using differential geometry. In this method، based on finite elements representation of the Earth''s crust (Delaunay triangulation); deformation analysis is based on a two-dimensional computational approach: Gaussian and mean curvatures are computed using metric tensor and the second fundamental form. Variations of the mean and Gaussian curvatures in Makran، 0. 503×10-14/myr and 1. 097×10-21/m2yr respectively، obtained from the Iran global GPS campaigns (epochs 2001 and 2005) are a signature for the subduction process in this area. Moreover، maximum change in the curvature are in accord with the main Zagros and Alborz (+1. 574×10-21/m2yr and-9. 992 ×10-21/m2yr) folds in Iran. Frequently; the subsidence paths in precise leveling network of Iran are in areas with reduction in curvature.