## Directional Survey Calculations

The following are the two most commonly used methods to calculate directional surveys:

1. Angle Averaging Method North = MD(cos. I1 — cos. I2)(sin. A2 — sin. Al) (I2 — I1)(A2 — Al)

East = MD(cos. I1 — cos. I2)(cos. A2 — cos. Al) (I2 — I1)(A2 — Al)

where MD = course length between surveys in measured depth, ft

I1, I2 = inclination (angle) at upper and lower surveys, degrees A1, A2 = direction at upper and lower surveys

Example: Use the Angle Averaging Method and the Radius of Curvature Method to calculate the following surveys:

Survey 1 Survey 2

Depth, ft 7482 7782

Inclination, degrees 4 8

Azimuth, degrees 10 35

Angle Averaging Method:

North = 300 x sin (6) x cos. (22.5) North = 300 x .104528 x .923879 North = 28.97 ft

East = 300 x sin. (6) x sin. (22.5) East = 300 x .104528 x .38268 East = 12.0 ft

Vert. = 300 x cos. (6) Vert. = 300 x .99452 Vert. = 298.35 ft

North = 300(cos. 4 — cos. 8)(sin. 35 — sin. 10) (8 — 4)(35 — 10)

North = 300 (.99756 — .990268)(.57357 — .173648)

North = 0.874629 - 100 North = 0.008746 x 57.32 North = 28.56 ft

East = 300(cos. 4 — cos. 8)(cos. 10 — cos. 35) (8 — 4)(35 — 10)

East = 300 (99756 — .99026)(.9848 — .81915) 4 x 25

East = 0.36277 100

### East = 0.0036277 x 57.32 East = 11.91 ft

1. = 300 (sin. 8 — sin. 4) (8 — 4)
2. = 300 (0.13917 — 0.069756) (8 — 4)
3. =300 x .069414 4
4. = 300 x 0.069414 4
5. = 5.20605 x 57.3 Vert. = 298.3 ft

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### Responses

• LEILA
What is directional survey calculation ?
9 years ago
• lucas
What is the Ragland method for calculating directional surveys?
4 years ago
• ari-pekka
How to calculate displacement in directional survey?
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• demet
How to calculate tvd from directional surveys mwd?
1 year ago
• Ermias
What arer the criteria used to determine the quality of a survey in drilling?
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How to calculate survey math formulas?
5 months ago
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How to calculate a horizontal departure in a directional survey?
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• Osman
How to calculate vertical section from survey mwd data?
2 months ago