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An Easy Method for Interpretation of Gravity Anomalies Due to Vertical Finite Lines

Kara I., Hoskan N.

Acta Geophysica

2016

Vol. 64, no. 6

2232--2243

A new method is introduced to determine the top and bottom depth of a vertical line using gravity anomalies. For this, gravity at a distance x from the origin and horizontal derivative at that point are utilized. A numerical value is obtained dividing the gravity at point x by horizontal derivative. Then a new equation is obtained dividing the theoretical gravity equation by the derivative equation. In that equation, assigning various values to the depth and length of vertical line, several new numerical values are obtained. Among these values, a curve is obtained for the one that is closest to the first value from attending the depth and length values. The intersection point of these curves obtained by repeating this procedure several times for different points x yield the real depth and length values of the line. The method is tested on two synthetics and field examples. Successful results are obtained in both applications.

On the orientation of discontinuities on rock sample sections

Bodziony J.

Bulletin of the Polish Academy of Sciences. Earth Sciences

2000

Vol. 48, nr 1

99-116

The problem of the distribution of the length of the discontinuity traces visible on plane sections of rock samples is discussed. In terms of mathematics, the problem has been reduced to inhomogeneous Fredholm's integral equation of the 1st kind, in which the known function r(beta) is the distribution density of normalized total length of the projections of discontinuity traces on a straight line with the orientation beta belongs to [ -pi/2 , +pi/2 ]. The method of solving Fredholm's equation has been illustrated on an example.