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STANDARD HANDBOOK OF PETROLEUM & NATURAL GAS ...

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920 Drilling and Well Completions<br />

328.29'<br />

/<br />

Top view of<br />

Plane Normal to<br />

Oz in 0<br />

Trace of Borehole Axis<br />

+<br />

Down<br />

b)<br />

X<br />

Figure 4-233. Representation of the three main vectors: (a) solid geometry<br />

view; (b) projection on plan normal to 0,.<br />

Note: Another way, probably less ambiguous, to compute the azimuth is to make a rotation of<br />

coordinates around Oz to bring Ox in the vertical plane and Oy in the horizontal plane. Then,<br />

make another rotation around Oy to bring Oz vertical and Ox in the horizontal plane. The azimuth<br />

is the clockwise angle between the new OH: and Ox.<br />

Example 4: Steering Tool Measurements-Trajectory<br />

Forecast<br />

An interesting problem that can be solved with the steering tool or the MWD<br />

measurements is the trajectory forecast when drilling ahead with a given bent<br />

sub (constant angle), and a given tool-face angle.<br />

1. After drilling the mud motor length with a given tool face angle and a<br />

given bent sub angle, what is the borehole deviation and orientation likely<br />

to be at the mud motor depth?

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