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Volume :8 Issue : 1 1981      Add To Cart                                                                    Download

A contribution to the methods of upward continuation of the gravitational field

Auther : S. RIAD*, E. REFAIT AND S. SHAFEY

* Department of Geology, University of Kuwait and  Department of Geology, Faculty of Science, Cairo University, Giza, Egypt

 

ABSTRACT

 

This paper deals with the problem of upward continuation of gravity anomalies due to two-dimensional body forms. Poissons integral was solved within a given interval and an equation for the upward continuation of the gravitational anomalous field was given in the form Values for the coefficient A; for recalculation at different heights are given. The given formula was checked on theoretical models in the form of a sphere and a horizontal cylinder. The results of applying the present method on gravity profile over a sphere shows that the error is comparable with that of three-dimensional methods. In all cases it is high and ranges between 30% and 90%. In the case of a horizontal cylinder it gives fairly good results. The error for some points is less than 1% and the mean error for all levels is almost always less than 10%. Besides, it was found that in all cases the error at different points along the profile was almost constant, which excludes the possibility of the formation of fictitious anomalies which are usually associated with other methods.

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