perforacion direccional calculos leo
DESCRIPTION
PERFORACÓNTRANSCRIPT
![Page 1: Perforacion Direccional Calculos Leo](https://reader034.vdocuments.net/reader034/viewer/2022050712/5695d1191a28ab9b029522b2/html5/thumbnails/1.jpg)
Profesores:
ING Gustavo Castillo
ING Francisco Rivas Lara
ING José Omar Sánchez
MÉTODOS DE ESTUDIOS DIRECCIONALES
![Page 2: Perforacion Direccional Calculos Leo](https://reader034.vdocuments.net/reader034/viewer/2022050712/5695d1191a28ab9b029522b2/html5/thumbnails/2.jpg)
2
I, A, DMD
![Page 3: Perforacion Direccional Calculos Leo](https://reader034.vdocuments.net/reader034/viewer/2022050712/5695d1191a28ab9b029522b2/html5/thumbnails/3.jpg)
3
Example - Wellbore Survey Calculations
The table below gives data from a directional survey.
Survey Point Measured Depth Inclination Azimuthalong the wellbore Angle Angle
ft I, deg A, deg
A 3,000 0 20B 3,200 6 6C 3,600 14 20D 4,000 24 80
Based on known coordinates for point C we’ll calculate the coordinates of point D using the above information.
![Page 4: Perforacion Direccional Calculos Leo](https://reader034.vdocuments.net/reader034/viewer/2022050712/5695d1191a28ab9b029522b2/html5/thumbnails/4.jpg)
4
Example - 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
Dz
E (x)
N (y)C
DDz
N
D
C
Dy
Dx
![Page 5: Perforacion Direccional Calculos Leo](https://reader034.vdocuments.net/reader034/viewer/2022050712/5695d1191a28ab9b029522b2/html5/thumbnails/5.jpg)
5
Example - 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
![Page 6: Perforacion Direccional Calculos Leo](https://reader034.vdocuments.net/reader034/viewer/2022050712/5695d1191a28ab9b029522b2/html5/thumbnails/6.jpg)
6
The 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
80 A 24I
20 A 14I
DD
CC
ft 400MD D, to C from depth Measured D
![Page 7: Perforacion Direccional Calculos Leo](https://reader034.vdocuments.net/reader034/viewer/2022050712/5695d1191a28ab9b029522b2/html5/thumbnails/7.jpg)
7
The Average Angle Method
80 A 24I
20 A 14I
ft 400MD D, to C from depth Measured
DD
CC
D
Dz
E (x)
N (y)
C
D
Dz
N
D
C
Dy
Dx
![Page 8: Perforacion Direccional Calculos Leo](https://reader034.vdocuments.net/reader034/viewer/2022050712/5695d1191a28ab9b029522b2/html5/thumbnails/8.jpg)
8
The Average Angle Method
![Page 9: Perforacion Direccional Calculos Leo](https://reader034.vdocuments.net/reader034/viewer/2022050712/5695d1191a28ab9b029522b2/html5/thumbnails/9.jpg)
9
The 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 the entire
survey interval (DMD) to be
tangent to the average angle.
From: API Bulletin D20. Dec. 31, 1985
2
III 21AVG
AVGAVG AsinIsinMDEast DD
AVGIcosMDVert DD
2
AAA 21
AVG
AVGAVG AcosIsinMDNorth DD
![Page 10: Perforacion Direccional Calculos Leo](https://reader034.vdocuments.net/reader034/viewer/2022050712/5695d1191a28ab9b029522b2/html5/thumbnails/10.jpg)
10
192
2414
2
III DCAVG
The Average Angle Method
502
8020
2
AAA DC
AVG
AVEAVG AsinIsinMDEast DD
50sinsin19400x D
ft76.99x D
![Page 11: Perforacion Direccional Calculos Leo](https://reader034.vdocuments.net/reader034/viewer/2022050712/5695d1191a28ab9b029522b2/html5/thumbnails/11.jpg)
11
The Average Angle Method
AVGIcos400Vert D
cos19400z D
AVGAVG AcosIsinMDNorth DD
ft 71.83y D
50cossin19400y D
ft21.378z D
![Page 12: Perforacion Direccional Calculos Leo](https://reader034.vdocuments.net/reader034/viewer/2022050712/5695d1191a28ab9b029522b2/html5/thumbnails/12.jpg)
12
The 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
![Page 13: Perforacion Direccional Calculos Leo](https://reader034.vdocuments.net/reader034/viewer/2022050712/5695d1191a28ab9b029522b2/html5/thumbnails/13.jpg)
13
The 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
2211 AsinIsinAsinIsin2
MDEast
DD
2211 AcosIsinAcosIsin2
MDNorth
DD
12 IcosIcos2
MDVert
DD
![Page 14: Perforacion Direccional Calculos Leo](https://reader034.vdocuments.net/reader034/viewer/2022050712/5695d1191a28ab9b029522b2/html5/thumbnails/14.jpg)
14
The Balanced Tangential Method
DDCC AsinIsinAsinIsin2
MDEast
DD
oooo 80sin24sin20sin14sin2
400
ft66.96x D
![Page 15: Perforacion Direccional Calculos Leo](https://reader034.vdocuments.net/reader034/viewer/2022050712/5695d1191a28ab9b029522b2/html5/thumbnails/15.jpg)
15
The Balanced Tangential Method
DDCC AcosIsinAcosIsin2
MDNorth
DD
oooo 80cos24sin20cos14sin2
400
ft59.59y D
![Page 16: Perforacion Direccional Calculos Leo](https://reader034.vdocuments.net/reader034/viewer/2022050712/5695d1191a28ab9b029522b2/html5/thumbnails/16.jpg)
16
The Balanced Tangential Method
CD IcosIcos2
MDVert
DD
oo 14cos24cos2
400
ft77.376z D
![Page 17: Perforacion Direccional Calculos Leo](https://reader034.vdocuments.net/reader034/viewer/2022050712/5695d1191a28ab9b029522b2/html5/thumbnails/17.jpg)
17
The 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
![Page 18: Perforacion Direccional Calculos Leo](https://reader034.vdocuments.net/reader034/viewer/2022050712/5695d1191a28ab9b029522b2/html5/thumbnails/18.jpg)
18
Minimum Curvature Method
b
![Page 19: Perforacion Direccional Calculos Leo](https://reader034.vdocuments.net/reader034/viewer/2022050712/5695d1191a28ab9b029522b2/html5/thumbnails/19.jpg)
19
Minimum Curvature Method
This method smooths the two straight-line segments
of the Balanced Tangential Method using the Ratio
Factor RF.
(DL= b and must be in radians)2tan
2RF
b
b
RFAcosIsinAcosIsin2
MDNorth 2211
DD
RFAsinIsinAsinIsin2
MDEast 2211
DD
RFIcosIcos2
MDVert 21
DD
![Page 20: Perforacion Direccional Calculos Leo](https://reader034.vdocuments.net/reader034/viewer/2022050712/5695d1191a28ab9b029522b2/html5/thumbnails/20.jpg)
20
Minimum Curvature Method
)AAcos(1IsinIsinIIcoscos CDDCCD b
)2080cos(124sin14sin1424cos o00ooo
cos b = 0.9356
b = 20.67o
= 0.3608 radians
The Dogleg Angle, b, is given by:
![Page 21: Perforacion Direccional Calculos Leo](https://reader034.vdocuments.net/reader034/viewer/2022050712/5695d1191a28ab9b029522b2/html5/thumbnails/21.jpg)
21
Minimum Curvature Method
The Ratio Factor,
2tan
2RF
b
b
2
67.20tan
3608.0
2RF
o
0110.1RF
![Page 22: Perforacion Direccional Calculos Leo](https://reader034.vdocuments.net/reader034/viewer/2022050712/5695d1191a28ab9b029522b2/html5/thumbnails/22.jpg)
22
Minimum Curvature Method
RFAsinIsinAsinIsin2
MDEast DDCC
DD
0110.180sin24sin20sin14sin2
400 oooo
ft72.97x D
ft72.97011.1*66.96
![Page 23: Perforacion Direccional Calculos Leo](https://reader034.vdocuments.net/reader034/viewer/2022050712/5695d1191a28ab9b029522b2/html5/thumbnails/23.jpg)
23
Minimum Curvature Method
RFAcosIsinAcosIsin2
MDNorth DDCC
DD
ft25.60y D
ft25.60011.1*59.59
0110.180cos24sin20cos14sin2
400 oooo
![Page 24: Perforacion Direccional Calculos Leo](https://reader034.vdocuments.net/reader034/viewer/2022050712/5695d1191a28ab9b029522b2/html5/thumbnails/24.jpg)
24
Minimum Curvature Method
RFIcosIcos2
MDVert CD
DD
0110.114cos24cos2
400 oo
ft91.380z D
ft91.3800110.1*77.376
![Page 25: Perforacion Direccional Calculos Leo](https://reader034.vdocuments.net/reader034/viewer/2022050712/5695d1191a28ab9b029522b2/html5/thumbnails/25.jpg)
25
Minimum 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 = 3,880.91 ft
![Page 26: Perforacion Direccional Calculos Leo](https://reader034.vdocuments.net/reader034/viewer/2022050712/5695d1191a28ab9b029522b2/html5/thumbnails/26.jpg)
26
The Radius of Curvature Method
2
CDCD
DCDC 180
AAII
AcosAcosIcosIcosMDEast
DD
2oooo 180
20801424
80cos20cos24cos14cos400
ft 14.59 x D
![Page 27: Perforacion Direccional Calculos Leo](https://reader034.vdocuments.net/reader034/viewer/2022050712/5695d1191a28ab9b029522b2/html5/thumbnails/27.jpg)
27
The Radius of Curvature Method
2
CDCD
CDDC 180
)AA()II(
)AsinA(sin)IcosI(cosMDNorth
DD
2180
)2080)(1424(
)20sin80)(sin24cos400(cos14
ft 79.83 y D
![Page 28: Perforacion Direccional Calculos Leo](https://reader034.vdocuments.net/reader034/viewer/2022050712/5695d1191a28ab9b029522b2/html5/thumbnails/28.jpg)
28
The Radius of Curvature Method
DD
180
II
)IsinI(sinMDVert
CD
CD
ft 73.773 z D
180
1424
)14sin24(sin400 oo
![Page 29: Perforacion Direccional Calculos Leo](https://reader034.vdocuments.net/reader034/viewer/2022050712/5695d1191a28ab9b029522b2/html5/thumbnails/29.jpg)
29
The 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
![Page 30: Perforacion Direccional Calculos Leo](https://reader034.vdocuments.net/reader034/viewer/2022050712/5695d1191a28ab9b029522b2/html5/thumbnails/30.jpg)
30
The Tangential Method
ft 400MD D, to C from depth Measured D
80 A 24I
20 A 14I
DD
CC
80sinsin24400
DD AsinIsinMDEast DD
ft 22.160x D
![Page 31: Perforacion Direccional Calculos Leo](https://reader034.vdocuments.net/reader034/viewer/2022050712/5695d1191a28ab9b029522b2/html5/thumbnails/31.jpg)
31
The Tangential Method
DIcosMDVert DD24cos400
ft 42.365z D
DD AcosIsinMDNorth DD
ft 25.28y D
oo 80cos24sin400
![Page 32: Perforacion Direccional Calculos Leo](https://reader034.vdocuments.net/reader034/viewer/2022050712/5695d1191a28ab9b029522b2/html5/thumbnails/32.jpg)
32
The Tangential Method
ft 3,865.42365.423,500z
ft 1,028.2528.251,000 y
ft 1,160.22160.221,000x
D,Point At
![Page 33: Perforacion Direccional Calculos Leo](https://reader034.vdocuments.net/reader034/viewer/2022050712/5695d1191a28ab9b029522b2/html5/thumbnails/33.jpg)
33
Summary 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