Rig Mathematics I - Mah. Farag Radwan.pdf

Rig Mathematics Part One

1. Rig Mathematics Part One
Mahmoud Farag Radwan
Well Control and Intervention Specialist│Freelance Instructor
https:\\www.linkedin.com/in/mahmoud-farag-radwan-a9266626

2. Mahmoud Farag Radwan

Short
Biography

Mahmoud Radwan is a Well Control and Intervention Specialist with 17 years of
experience in Oil and Gas industry; worked in Well Engineering, Intervention, Integrity,
Completion & Work-over at several companies, including ALTEA Energy-SONATRACH,
KDT Global Solutions, CUDD Well Control, AMAL Petroleum Co. (AMAPETCO), Shell, Badr
El-Din Pet. Co. (BAPETCO), Qarun Pet. Co. (QPC) and Wadi El-Sahel Petroleum Co.
(WASPETCO).
Also, a freelance instructor at Upstream Oil & Gas in Egypt and Worldwide since 2008.
Mahmoud received a B.Sc. degree of Petroleum Engineering from Al-Azhar University in
2007.
Publications
Evaluating Sustainable Annulus Pressure (SAP) in Sour Wells and the Possible
Causes to Avoid Recurrence to the Well Integrity Annual Middle East Conference in
Abu Dhabi; UAE in Apr 2015
Implementing NDT methods for maintenance and inspection to the Asset Integrity
Management North Africa Conference in Cairo; Egypt in Nov 2015
Feasibility Evaluation of Using Downhole Gas-water Separation Technology in gas
Reservoirs with Bottom Water; paper number: SPE-183739-MS to the 20th Middle East
Oil & Gas Show and Conference in Mar 2017 http://dx.doi.org/10.2118/183739-MS
Managing the Operational Challenges in Corroded Wells through Well Integrity
Management System to the Improving Brownfield Performance Technical Convention,
in Cairo; Egypt in Dec 2019
Safe and Economic Attractive Rigless Operations Using a Digital Slickline in
Unmanned Platform with Low Structure Loads and Spacing; paper number: SPE--
202857-MS to the Abu Dhabi International Petroleum Exhibition & Conference
(ADIPEC) in Nov 2020 https://doi.org/10.2118/202857-MS

3. Course Outlines
•Dimension system
•Area & volume Calculations
•Oil field application
•Density Principles and Sp.Gr concept
•Pressure concept and its unit conversion
•Buoyancy factor and its application
•Mud pumps
•Special petroleum calculation

4. Value English Metric (SI)
Length Foot (ft) Meter (m)
Volume (capacity) Gallon (g) Liter (l)
Weight Pound (lb) Gram (gm)
Dimension system

5. Dimension system

6. English system units
Length:
1 mile = 1760 yard
1 yard = 3 feet (ft)
1 ft = 12 inch (in).

Weight:
1 pound (lb) = 16 ounces

Volume:
1 bbL = 5.614 ft
3

1 BBL = 42 gallon (gal)

1 ft
3
= 7.48 gal

7. Metric system units
Length:
1 kilometer (Km) = 1000 meter (M)
1 meter (M) = 10 decimeter (dm)
1 dm = 10 centimeter (cm)
1 cm = 10 millimeter (mm)

Weight:
1 kg = 1000 gm

volume:
1cubic meter(M
3
) = 1000 liter (L)

8. Constant Conversions
Length:
1 M = 3.281 ft
1 in = 2.54 cm

Weight:
1 lb = 453.5 gm

volume:
1 gal = 3.785 liter

9. Rig Tape
The Ordinary Measuring Tape (Inch Vs Centimeter)
Rig Tape
- The inch is divided to 16 or 32 divisions

10. Square:
Area = L x L =L
2


Rectangle:


Triangle:


L
L
W
L
Area Calculations
H
B HBArea 
2
1 WLArea

11. Area Calculations

12. Area Calculations  
22
7854.0 IDODAreaSectionalCross 

13. Area Calculations

14. Volume calculations
Volume of mud Tank = length x width x height (ft
3
)

15. Volume calculations ftcuH
D
HeightBaseofAreaCylinderofVolume
.
12
7854.0
2







 bblH
D
CylinderofVolume ,
4.1029
2

Note:

D: Diameter, in
2
H: Depth, ft

16. Volume calculations ftbbl
IDOD
ntDisplacemeMetal /
4.1029
22

 ftbbl
ftWtAdj
ftbbl
DensitySteel
footperWeightAdjusted
ntDisplacemeMetal
/
2748
/.
/


OR

17. Density Volume
Weight
Density
Common units:

ppg: pound per gallon
Pcf: pound per cubic foot
Lb/bbl: pound per barrel
gm/cc: Gram per cubic centimeter
fresh water:
= 8.34 ppg
= 62.4 pcf

Steel:
= 65.44 ppg
= 489.5 pcf
= 2748 lb/bbl

18. Density
Mud Balance
Mud Balance is used to measure the mud
density, it has four scales:
•ppg
•pcf
•SG
•psi/1000ft.

19. Specific Gravity 34.8
)(ppgDensitynceSubsta
DensityWaterFresh
DensitynceSubsta
GravitySpecific


Examples:

20. Specific Gravity

21. Pressure psi
Area
Force
ressureP 
Common units:

psi: pound per square inch
Kg/cm
2
: kilogram per square centimeter

Note:

1 atm = 14.7 psi
1 bar = 14.5 psi



F
Area

22. Hydrostatic pressure DepthVerticalTrueDensityFluidConstpressurecHydrostati  .   ftTVDSGMwtpsiP
H
433.0   ftTVDppgMwtpsiP
H
052.0

23. Pressure Gradient

24. Examples

25. Examples

26. Examples

27. Buoyancy upForceairinWeightfluidinWeight 

28. Buoyancy factor densityObject
densityFluiddensityObject
FactorBuoyancy

 FactorBuoyancyairinWeightfluidinWeight  44.65
44.65 densityMud
densitySteel
densityMuddensitySteel
FactorBuoyancy



 lbsFBairinWeightloadHook .

29. Examples

30. Examples

31. Mud pumps
Types of mud pumps:

1- Triplex single acting mud pump

32. 2- Duplex double acting mud pump
Mud pumps

33. Triples Single Acting Mud Pump:

Pump out put in bbl/stk =



Where:
D = Liner diameter in inches
L = Stroke length in inches
eff = Pump efficiency
Pump output calculations:
Mud pumps eff
LD

12
3
4.1029
2


34. Pressure/M
wt relationship

35. Pressure/stroke relationship

36. Slug volume

37. Slug weight

38. ICP

39. FCP

40. Formation pressure

41. Fracture pressure

42. Annular velocity (AV)

43. Annular velocity (AV)

44. Annular velocity (AV)

45. Annular velocity (AV)

46. Nomenclature
bbl/ft Barrels (US) per foot
bbl Barrel
bbl/min Barrels (US) per minute
bbl/stk Barrels (US) per stroke
BHP Bottom Hole Pressure
BOP Blowout Preventer
BPM Barrel Per Minute
D Diameter
ECD Equivalent Circulating Density
EMW Equivalent Mud Weight
FCP Final Circulating Pressure
F
G
Gradient Fracture
ft Feet
ft/hr Feet per hour
ft/min Feet per minute
gpm Gallons Per Minute
ICP Initial Circulating Pressure
ID Inner Diameter
INF
h
Height of Influx
KMW Kill Mud Weight
lbs/bbl Pounds per barrel
LOT Leak-off Test
MAASP
Maximum Allowable Annular Surface
Pressure
MD Measured Depth
M
Wt
Mud Weight
OD Outer Diameter
OMW Original Mud Weight
P Pressure
P
a Pressure Losses in annulus
P
C
Circulating Pressure
pcf Pound Per Cubic Foot
P
F Formation Pressure
P
G Pressure Gradient, Mud Gradient
P
H Hydrostatic Pressure
ppg Pounds per gallon
pcf Pounds per cubic feet

47. psi Pounds per square Inch
psi/ft Pounds per square inch per foot
psi/hr Pounds per square inch per hour
POOH Pull out of hole
RIH Run In hole
RRCP Reduced Rate Circulating Pressure
S.G Specific Gravity
SICP Shut in Casing Pressure
SIDPP Shut in Drill Pipe Pressure
SPM Strokes per minute
TD Total Depth
TVD True Vertical Depth
Nomenclature

48. Conversion factor

49. Conversion factor

50. Conversion factor

51. Conversion factor

52. Conversion factor

53. Thank You
انبولق ىف ةزغ
GAZA in our
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