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Part 1
Introduction
By
Prof. Dr. Abdel-Alim Hashem
Contents
• Definitions
• Basic Concepts
• Liquid Hydrostatics
3
Definitions
• What is a Kick?
– An unscheduled entry of formation fluids into the wellbore of sufficient quantity to require shutting in the well
• What is a Blowout?
– Loss of control of a kick
4
Why does a kick occur?
• Pressure in the wellbore is less than the pressure in the formation
• Permeability of the formation is great enough to allow flow
• A fluid that can flow is present in the formation
5
How do we prevent kicks?
• We must maintain the pressure in the wellbore greater than formation pressure
• But,
• We must not allow the pressure in the wellbore to exceed the fracture pressure
• This is done by controlling the HSP of the drilling fluid, and isolating weak formations with casing
6
HSP = HydroStatic Pressure
Hydrostatic Pressure, HSP
HSP = 0.052 * MW * TVD
– HSP = Hydrostatic Pressure, psi
– MW = Mud Weight (density), ppg
– TVD = Total Vertical Depth, ft
7
HSP = 0.052 * MW * TVD
HSP
8
TVD
10 ppg mud
HSP = HSP = HSP
Problem # 1
• Drive the HSP equation
• Calculate the HSP for each of the following:
– 10,000 ft of 12.0 ppg mud
– 12,000 ft of 10.5 ppg mud
– 15,000 ft of 15.0 ppg mud
9
Solution to Problem # 1
• Consider a column of fluid:
– Cross-sectional area = 1 sq.ft.
– Height = TVD ft
– Density = MW
• Weight of the fluid = Vol * Density
= 1 * 1 * TVD ft3
* 62.4 lb/ ft3 * MW ppg/8.33
= 62.4 / 8.33 * MW * TVD
10
Solution, con’t.
• This weight is equally distributed over an area of 1 sq.ft. or 144 sq.in.
• Therefore,
• Pressure = Weight / area
= 62.4 MW * TVD/(8.33*144)
• HSP = 0.052 * MW * TVD
11
W
F = PA
Solution, con’t.
HSP = 0.052 * MW * TVD
• HSP1 = 0.052 * 12 * 10,000 = 6,240 psi
• HSP2 = 0.052 * 10.5 * 12,000 = 6,552 psi
• HSP3 = 0.052 * 15.0 * 15,000 = 11,700 psi
12
Terminology
• Pressure
• Pressure gradient
• Formation pressure (Pore)
• Overburden pressure
• Fracture pressure
• Pump pressure (system pressure loss)
• SPP, KRP, Slow circulating pressure, kill rate pressure
• Surge & swab pressure
• SIDPP & SICP
• BHP
13
U-Tube Concept
14
HSP = 5,200 psi
5,600 5,600 5,600
400
400 600 600
HSP =
5,200 psi
Mud HSP
=4,800 psi
Mud HSP
=4,800 psi
Influx HSP
=200 psi
Influx HSP
=200 psi
More Terminology
• Capacity of:
– casing
– hole
– drillpipe
• Annular capacity
• Displacement of:
– Drillpipe
– Drill collars
• Rig Pumps
– Duplex pump
– Triplex pump
• KWM, kill weight mud
• Fluid Weight up
15
Problem # 2
• Calculate the mud gradient for 15.0 ppg mud
G15 = 0.052 * MW = 0.052 * 15
= 0.780 psi/ft
• Calculate the HSP of 15,000’ of 15 ppg mud
HSP = 0.780 * 15,000 = 11,700 psi
16
Problem # 3
• The top 6,000 ft in a wellbore is filled with fresh water, the next 8,000 with 11 ppg mud, and the bottom 16,000 ft is filled with 16 ppg mud.
1. What is the BHP?
2. What is the pressure 1/2 way to bottom?
3. Plot the mud density vs. depth
4. Plot the mud gradient vs. depth
5. Plot the pressure vs. depth
17
Problem # 3 solution
1. BHP = 0.052 * [(8.33 * 6,000) + (11 * 8,000) +
(16 * 16,000)] = 20,487 psi
2. Pressure 1/2 way down (at 15,000 ft)
= 0.052 * [(8.33 * 6,000)
+ (11 * 8,000) + (16 * 1,000)] = 8,007 psi
18
Problem # 3 solution
3. Plot MW vs. Depth
19
D
e
p
t
h
0
5,000
10,000
15,000
20,000
25,000
30,000
Mud Density, ppg
0 5 10 15 20
8.33
11.0
16.0
20
Problem # 3 solution
4. Plot mud
gradient vs. Depth
Depth Gradient
ft psi/ft
0-6,000 0.433
6,000-14,000 0.572
14,000-TD 0.832
D
e
p
t
h
0
5,000
10,000
15,000
20,000
25,000
30,000
Mud Gradient, psi/ft
0 0.2 0.4 0.6 0.8 0.9
0.433
0.572
0.832
21
Problem # 3 solution
5. Plot HSP vs.
Depth
ft psi
@ 6,000 2,599
@14,000 7,175
@ 30,000 20,487
D
e
p
t
h
0
5,000
10,000
15,000
20,000
25,000
30,000
Mud Pressure, kpsi
8 5 10 15 20
2,599 psi
7,175 psi
20,487 psi
Addition of Weight Material
The amount of barite
required to raise the
density of one barrel
of mud from MW1 to
MW2, ppg
22
lbsBarite,ofgal1ofWt.35.4
lbsBarite,ofbbl1ofWt.1,490
ppgDensity,MudNewMW
ppgDensity,MudOldMW
lb/bblRequired,BariteW
where
2
1
B
2
12B
MW35.4
MWMW1,490W
Problem # 4, Derive Barite Eq.
Consider one bbl of mud of density, MW1, add WB lbs of barite to increase the mud density to MW2.
Wt, lb Vol, bbl Old Mud 42 * MW1 1 Barite WB (WB lbs / 1,490 lb/bbl) Mixture WB + 42 MW1 1 + (WB / 1,490) Density of Mixture = total weight / total volume
23
Problem # 4
New Density = Weight / Volume
MW2 = (WB+42 MW1 lbs) / {[1+(WB/1,490)bbl]*42 gal/bbl}
42 MW2 [1+(WB/1,490)] = WB+42 MW1 lbs
WB [(MW2 / 35.4) -1] = 42 MW1 – 42 MW2
WB(MW2 - 35.4) = (42 * 35.4) * (MW1 - MW2)
2
12B
MW35.4
MWMW1,490W
24
Stopping an Influx
1. Increase Pressure at Surface
2. Increase Annular Friction
3. Increase Mud Weight
25
Stopping an Influx
26 Pressure
Dep
th
Mud Hydrostatic
Pressure
Stopping an Influx – Soln.1
27 Pressure
Dep
th
Mud
Hydrostatic
Pressure
Stopping an Influx – Soln.2
28 Pressure
Dep
th
Mud
Hydrostatic
Pressure
Stopping an Influx – Soln.3
29 Pressure
Dep
th
Mud
Hydrostatic
Pressure
End
30