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Petroleum Engineering - 406

LESSON 11 Survey Calculation Methods. Radius of CurvatureBalanced TangentialMinimum CurvatureKicking Off from VerticalControlling Hole Angle (Inclination). . Homework. READ:Chapter 8 Applied Drilling Engineering", (? first 20 pages) . . Radius of Curvature Method . Assumption: The wellbor

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Petroleum Engineering - 406

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    1. Petroleum Engineering - 406 LESSON 19 Survey Calculation Methods

    2. LESSON 11 Survey Calculation Methods Radius of Curvature Balanced Tangential Minimum Curvature Kicking Off from Vertical Controlling Hole Angle (Inclination)

    3. Homework READ: Chapter 8 “Applied Drilling Engineering”, (? first 20 pages)

    4. Radius of Curvature Method Assumption: The wellbore follows a smooth, spherical arc between survey points and passes through the measured angles at both ends. (tangent to I and A at both points 1 and 2). Known: Location of point 1, ?MD12 and angles I1, A1, I2 and A2

    5. Radius of Curvature Method

    6. Radius of Curvature - Vertical Section In the vertical section, ?MD = R1(I2-I1)rad ?MD = R1 ( ) (I2-I1)deg I1 I2-I1 ?R1= ( ) ( ) DMD

    7. Radius of Curvature: Vertical Section

    8. Radius of Curvature: Horizontal Section

    9. Radius of Curvature Method

    10. Radius of Curvature Method

    11. Radius of Curvature - Equations

    12. Angles in Radians If I1 = I2, then: ?North = ?MD sin I1 ?East = ?MD sin I1 ?Vert = ?MD cos I1

    13. Angles in Radians If A1 = A2, then: ?North = ?MD cos A1 ?East = ?MD sin A1 ?Vert = ?MD

    14. Radius of Curvature - Special Case If I1 = I2 and A1 = A2 ?North = ?MD sin I1 cos A1, ?East = ?MD sin I1 sin A1 ?Vert = ?MD cos I1

    15. Balanced Tangential Method

    16. Balanced Tangential Method

    17. Balanced Tangential Method - Equations

    18. Minimum Curvature Method This method assumes that the wellbore follows the smoothest possible circular arc from Point 1 to Point 2. This is essentially the Balanced Tangential Method, with each result multiplied by a ratio factor (RF) as follows:

    19. Minimum Curvature Method - Equations

    20. Minimum Curvature Method

    22. Tangential Method

    23. Balanced Tangential Method

    24. Average Angle Method

    25. Radius of Curvature Method

    26. Minimum Curvature Method

    27. Mercury Method

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