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Petroleum Engineering 406

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Chapter 8 'Applied Drilling Engineering', ( first 20 pages) Radius of Curvature Method ... Vert. I2. Radius of Curvature: Vertical Section. R1. R1. I1. I2. I2. Horiz ... – PowerPoint PPT presentation

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Title: Petroleum Engineering 406


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
Length of arc of circle, L R?rad

? MD R1 (I2-I1) (rad)
A1
I2 -I1
1
North
R1
I1
A1
?North
I2
2
East
?East
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

R1
? Vert
I2
7
Radius of Curvature Vertical Section

I1
I2
R1
R1
?MD
I2
? Horiz
8
Radius of Curvature Horizontal Section
N
A2
L2 R2 (A2 - A1)RAD

2
A1
so,
L2
?North
DEG
R2
?East
1
DEast R2 cos A1 - R2 cos
A2 R2 (cos A1 - cos A2)
A2
A2-A1
O
A1
9
Radius of Curvature Method
DEast R2 (cos A1 - cos A2)

L2
DEast
10
Radius of Curvature Method
DNorth R2 (sin A2 - sin A1)

L2
DNorth
11
Radius of Curvature - Equations

With all angles in radians!
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

1
I1
?MD 2
?MD 2
I2
I2
Vertical Projection
0
I2
16
Balanced Tangential Method

?Horiz. 2
A2
?N
A1
?Horiz.1
Horizontal Projection
?E
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
DL b

O
r
DL 2
P
r
Q
S
R
DL
21
Fig 8.22 A curve representing a wellbore
between Survey Stations A1 and A2.
b
b b(A, I)
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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