Comprhensive Approach to the Analysis of the 3D Kinematics Deformation with appliction to the Kenai Peninsula

Author:

Hossainali M.1,Becker M.2,Groten E.2

Affiliation:

1. Faculty of Geodesy and Geomatics Engineering, K. N. Toosi University of Technology, 1346 Valiasr Street, Mirdaamaad intersection, Tehran, Iran1

2. Institute of Physical Geodesy, Technical University of Darmstadt, Petersenstrasse 13, Darmstadt, Germany2

Abstract

Comprhensive Approach to the Analysis of the 3D Kinematics Deformation with appliction to the Kenai PeninsulaThe problem of analyzing surface deformation of the Earth's crust in three-dimensions is discussed. The isoparametric and Lagrangian formulations of deformation are extended from 2D to 3D. Analytical and numerical investigation of problem conditioning proves that analyzing the 3D kinematics of deformation can be an ill-posed problem. The required mathematical elements for solving this problem, including sensitivity analysis of the deformation tensor and regularization, are proposed. Regularized deformation tensors were computed using the method of truncated singular value decomposition (TSVD). The optimal regularization parameter was attained by minimizing regularization errors. Regularization errors were assessed using the corresponding 2D results of deformation analysis. The proposed methods were applied to the GPS network in the Kenai Peninsula, south-central Alaska, in order to compute the 3D pattern of postseismic crustal deformation in this area. Computed deformation in the vertical direction is compared to the existing pattern of vertical deformation obtained from the combination of precise leveling, gravity and GPS measurements from other studies on this area.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Earth and Planetary Sciences (miscellaneous),Computers in Earth Sciences,Geophysics,Astronomy and Astrophysics

Reference66 articles.

1. Analytical Surface Deformation Theory

2. Processing and Submission Guidelines for GPS Solutions to be Integrated to a WEGENER Data Base;M. Becker,2002

3. On the application of robustness analysis to geodetic networks;M. Berber,2003

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