Document Type : Research Paper
Author
University of Baghdad – College of Science
Abstract
Differential Operators (Gradient, Laplacian and Biharmonic) have been used to determine
anomaly characteristics using theoretical gravity field for spherical bodies with different depths, radius
and density contrasts. The intersection between the gravity field and the three differential operator's
fields could be used to estimate the depth to the center of the spherical bodies regardless their different
radius, depths and density contrasts. The Biharmonic Operator has an excellent result, were two zero
closed contours lines produced. The diameter of the internal closed zero contour line define almost
precisely the depth to the center of spherical bodies. This is an attempt to use such technique to
estimate depths. Also, the Biharmonic Operator has very sensitivity to resolve hidden small anomaly
due the effect of large neighborhood anomaly, the 2nd derivative Laplacian Filter could reveal these
small anomaly but the Biharmonic Operator could indicate the exact depth. The user for such technique
should be very care to the accuracy of digitizing the data due to the high sensitivity of Biharmonic
Operator.The validity of the method is tested on field example for salt dome in United States and gives
a reasonable depth result.
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