Calculating Azimuth with True North and Magnetic North

What is the azimuth with respect to true north of a well observed at N45°E with a declination of 3° west?

What is the quadrant azimuth of a well observed at N60°E with a declination of 5° west?

If a well is observed at S80°W, what would be its azimuth with respect to true north after accounting for a 5° west correction?

If a well is observed at S105°E with a declination of 3° east, what is its azimuth with respect to true north?

When survey calculations are converted to N-S, E-W, and true vertical depth coordinates, what method is used for the conversion?

What do directional surveys help determine in relation to the bottom of a hole?

What is the most accurate calculation method used in the industry for survey data?

Which method is considered the least accurate for calculating survey data?

In a right triangle, which angle is always equal to 90°?

What is the relationship among the angles in a right triangle?

Which side of a right triangle is designated as the hypotenuse?

What equation defines the relationship between the sides of a right triangle?

Azimuth Calculations

To find the azimuth with respect to true north, subtract the declination from the observed azimuth if the declination is west, and add the declination if it is east.

Example Calculations

Azimuth of a well observed at N45°E with a declination of 3° west: N45°E - 3° = N42°E
Quadrant azimuth of a well observed at N60°E with a declination of 5° west: N60°E - 5° = N55°E
Azimuth of a well observed at S80°W with a 5° west correction: S80°W - 5° = S85°W
Azimuth of a well observed at S105°E with a declination of 3° east: S105°E + 3° = S108°E

Survey Calculations

The method used to convert survey calculations to N-S, E-W, and true vertical depth coordinates is the rectangular coordinate system.

Directional Surveys

Directional surveys help determine the direction of the bottom of a hole in relation to true north.

Calculation Methods

The most accurate calculation method used in the industry for survey data is the minimum curvature method.
The least accurate method for calculating survey data is the tangential method.

Right Triangles

In a right triangle, one angle is always equal to 90°.
The relationship among the angles in a right triangle is that the sum of the angles is always 180°.
The hypotenuse is the side of a right triangle opposite the 90° angle.
The equation that defines the relationship between the sides of a right triangle is a² + b² = c², where c is the hypotenuse.

This quiz covers the process of determining the azimuth with respect to true north of wells based on observed azimuth with declination with respect to magnetic north. It involves calculations involving true north, magnetic north, declination, and azimuth.