Equally inclined orthogonal geophones

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Problem 13.2

Determine the inclination angles for three orthogonal geophones that are equally inclined to the vertical.

Solution

The three orthogonal geophones define a rectangular coordinate system with the -, -, and -axes along the geophones axes. We take a straight line through the origin of this system such that it is equally inclined to each axis, and rotate the coordinate system so that the straight line is vertical. The direction cosines of the vertical line are and . Because [Sheriff and Geldart, problem (15.9a)],

Thus the geophones must be inclined to the vertical.

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