Title: Drilling Engineering
1Drilling Engineering
Directional Drilling
2 Directional Drilling
I
II
III
- When is it used?
- Type I Wells
- Type II Wells
- Type III Wells
- Directional Well Planning Design
- Survey Calculation Methods
3Inclination Angle q, a, I
Direction Angle f, e, A
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5Max. Horiz. Depart. ?
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11Type I
Type II
Type III
12r
I
DL
Dy
r
I
Dx
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14Fig. 8.11
153D Wells
16N18E
S23E
N55W
S20W
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18Example 1 Design of Directional Well
- Design a directional well with the following
restrictions - Total horizontal departure 4,500 ft
- True vertical depth (TVD) 12,500 ft
- Depth to kickoff point (KOP) 2,500 ft
- Rate of build of hole angle 1.5 deg/100
ft - Type I well (build and hold)
19Example 1 Design of Directional Well
- (i) Determine the maximum hole angle
required. - (ii) What is the total measured depth (MD)?
-
- (MD well depth measured along the
wellbore, - not the vertical depth)
20(i) Maximum Inclination Angle
21(i) Maximum Inclination Angle
22(ii) Measured Depth of Well
23(ii) Measured Depth of Well
24- The actual well path hardly ever coincides with
the planned trajectory - Important Hit target within specified radius
25What is known? I1 , I2 , A1 , A2 , DL DMD1-2
Calculate b dogleg angle DLS b100/DL
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28Wellbore Surveying Methods
- Average Angle
- Balanced Tangential
- Minimum Curvature
- Radius of Curvature
- Tangential
- Other Topics
- Kicking off from Vertical
- Controlling Hole Angle
29I, A, DMD
30Example - Wellbore Survey Calculations
- The table below gives data from a directional
survey. - Survey Point Measured Depth Inclination
Azimuth along the wellbore
Angle Angle - ft I, deg A, deg
- A 3,000 0 20
- B 3,200 6 6
- C 3,600 14 20
- D 4,000 24 80
- Based on known coordinates for point C well
calculate the coordinates of point D using the
above information.
31Example - Wellbore Survey Calculations
- Point C has coordinates
-
- x 1,000 (ft) positive towards the east
- y 1,000 (ft) positive towards the north
- z 3,500 (ft) TVD, positive downwards
C
C
N (y)
N
Z
Dz
D
D
Dy
Dx
E (x)
32Example - Wellbore Survey Calculations
- I. Calculate the x, y, and z coordinates of
points D using - (i) The Average Angle method
- (ii) The Balanced Tangential method
- (iii) The Minimum Curvature method
- (iv) The Radius of Curvature method
- (v) The Tangential method
33The Average Angle Method
- Find the coordinates of point D using the
Average Angle Method -
- At point C, X 1,000 ft
- Y 1,000 ft
- Z 3,500 ft
34The Average Angle Method
C
N (y)
C
Z
D
N
z
D
y
E (x)
x
35The Average Angle Method
36The Average Angle Method
This method utilizes the average of I1 and I2 as
an inclination, the average of A1 and A2 as a
direction, and assumes all of the survey interval
(DMD) to be tangent to the average angle.
From API Bulletin D20. Dec. 31, 1985
37The Average Angle Method
38The Average Angle Method
39The Average Angle Method
- At Point D,
- X 1,000 99.76 1,099.76 ft
- Y 1,000 83.71 1,083.71 ft
- Z 3,500 378.21 3,878.21 ft
40The Balanced Tangential Method
This method treats half the measured distance
(DMD/2) as being tangent to I1 and A1 and the
remainder of the measured distance (DMD/2) as
being tangent to I2 and A2.
From API Bulletin D20. Dec. 31, 1985
41The Balanced Tangential Method
42The Balanced Tangential Method
43The Balanced Tangential Method
44The Balanced Tangential Method
- At Point D,
- X 1,000 96.66 1,096.66 ft
- Y 1,000 59.59 1,059.59 ft
- Z 3,500 376.77 3,876.77 ft
45Minimum Curvature Method
b
46Minimum Curvature Method
This method smooths the two straight-line
segments of the Balanced Tangential Method using
the Ratio Factor RF. RF (2/DL) tan(DL/2)
(DL b and must be in radians)
47Minimum Curvature Method
- The dogleg angle, b , is given by
48Minimum Curvature Method
2
49Minimum Curvature Method
50Minimum Curvature Method
- At Point D,
-
- X 1,000 97.72 1,097.72 ft
- Y 1,000 60.25 1,060.25 ft
- Z 3,500 380.91 3,888.91 ft
51The Radius of Curvature Method
52The Radius of Curvature Method
53The Radius of Curvature Method
54The Radius of Curvature Method
- At Point D,
- X 1,000 95.14 1,095.14 ft
- Y 1,000 79.83 1,079.83 ft
- Z 3,500 377.73 3,877.73 ft
55The Tangential Method
56The Tangential Method
57The Tangential Method
58Summary of Results (to the nearest ft)
- X Y Z
- Average Angle 1,100 1,084
3,878 - Balanced Tangential 1,097 1,060 3,877
- Minimum Curvature 1,098 1,060 3,881
- Radius of Curvature 1,095 1,080 3,878
- Tangential Method 1,160 1,028 3,865
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61Building Hole Angle
62Holding Hole Angle
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64CLOSURE
(HORIZONTAL) DEPARTURE
LEAD ANGLE
65b
66 Tool Face Angle