Computation of Deformation in Networks Geodetic by Least Squares Method and Ellipse of Errors

Abstract

The modern analysis techniques for monitoring the deformation concrete structures network geodetic Mosul dam depends on assumption by least squares and ellipse of errors, then to carry out the adjustment for the networks. Due to the importance of the first order geodetic networks which is used in large scopes, it is used to design the other types of geodetic networks as the second and third order geodetic networks and it is used to monitoring spatially in the large structures. In this paper the geodetic network of Mosul dam has been adopted to evaluate the displacement and the direction of motion for the geodetic network points, 21 points have been used to evaluate the value of displacement in these points and study it effect into monitoring for Mosul dam. The accuracy acquaintance in geodetic networks is very important therefor this paper is aimed to compute the accuracy of geodetic network points by using a matlab program prepared to compute the ellipse of error for all points in geodetic network the resulted deformations magnitude for the (21) monitoring network pillars of Mosul Dam at two consecutive epochs (2005 and 2011) with respect to the zero epoch. The analysis shows a real displacement for dam pillars P62, P63, and P64 between the years 1989-2005 and 2011.
It is noticed from the matlab program that the adopted base line in mosul dam geodetic network is not the optimal base line because its points have an actual deformation while there is other points which have minimal ellipse of error according results, these points can be used to formation the base line for the geodetic network.