Calculation of stable vertical derivatives using the combination of finite difference and upward continuation, case study: gravity field data of the northern area of the Jalalabad iron ore mine, Kerman province

Authors

Institute of Geophysics, University of Tehran, Tehran, Iran

Abstract

The vertical derivatives of the gravity field are an important tool for the 
interpretation of potential field data. The first and second orders of the vertical 
derivatives of the gravity field, or various edge detection filters developed by 
combining different orders of the vertical derivatives with other functions, are 
used to process and interpret gravity field anomalies. However, the main 
drawback of these filters is their sensitivity to noise. In this study, by 
combining two finite difference methods and an upward continuation filter, a 
new and effective method for calculating the vertical derivative of the gravity 
field is introduced, which has greater stability to noise and is used to calculate 
the vertical derivatives. To this end, the ability of this method and other conventional methods to calculate the vertical 
derivative of the gravity field was investigated using synthetic gravity field data contaminated with 3 and 6% Gaussian 
noise. After theoretical confirmation, the methods for calculating vertical derivative along with edge determination 
filters such as horizontal tilt angle (TDX) and vertical derivative of Heaviside function (HSV) filter were also tested and 
investigated on the gravity field data of Jalalabad Zarand iron ore mine in Kerman province, Iran. The results of the 
synthetic gravity models with noise and the real data from the northern area of the Jalal Abad iron ore mine show that 
this technique is able to reduce the noise effect in the vertical gradient maps and better draw the edges of the buried 
sources.

References

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Volume 8, Issue 4
October 2030
Pages 287-299

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