Activity: Well Control









ANSWERS

1. What is the MAASP prior to the kick?

             \begin{array}{l}
MAASP = CSG.TVD*(FG - MG)\\
MAASP = 9000*(0.8 - 0.6)\\
MAASP = 1800psi
\end{array}

with

CSG.TVD : the casing set total vertical depth
FG : formation pressure gradient
MG : Mud pressure gradient  
                                                 
2. What is the mud weight required for killing the well?

             \begin{array}{l}
FP = HP + SIDPP\\
FP = 0.6*12000 + 500\\
FP = 7700psi\\
MG = \frac{{FP}}{{TVD}}\\
MG = \frac{{7700}}{{12000}}\\
MG = 0.642psi/ft
\end{array}
with

FP : Formation Pressure
HP : Hydrostatic Pressure of Drilling fluids
SIDPP: Shut in Drill pipe Pressure
MG: Mud weight gradient required to control the well

3. What is the kill rate pressure if pressure stabilize at Pst = 1000 psi at the start of the well kill operation.

             \begin{array}{l}
ICP = KRP + SIDPP\\
KRP = ICP - SIDPP\\
KRP = 1000 - 500\\
KRP = 500psi
\end{array}

with 
ICP : Initial circulating pressure
KRP : Kill rate pressure

4. What is the correct value of  pressure of choke Pch at the start of the well kill operation

             \begin{array}{lllllllllllllll}
{{P_{ch}} = SICP}\\
{{P_{ch}} = 900psi}
\end{array}
            
5. What is final circulating pressure?

             \begin{array}{l}
FCP = ICP*\frac{{KMW}}{{OMW}}\\
FCP = 500*\frac{{0.642}}{{0.600}}\\
FCP = 535psi
\end{array} 
with
KWM: Kill mud weight
OMW: Original mud weight

6. What is the BHP prior to and after the kick?

            \begin{array}{l}
BH{P_{before}} = HP\\
BH{P_{before}} = 0.6*12000\\
BH{P_{before}} = 7200psi
\end{array}        
   
           \begin{array}{l}
BH{P_{after}} = HP + SIDPP\\
BH{P_{after}} = 0.6*12000 + 500\\
BH{P_{after}} = 7700psi
\end{array} 

7. How many strokes will take the kill mud to reach the bit? How many strokes bit to shoe? Why do we want to know this value?

Mud Pump Out Put

          {P_{output}} = 0.000243*Stroke.length*Liner.Diamete{r^2}*efficiency
          \begin{array}{l}
{P_{output}} = 0.000243*12*{6^2}*0.97\\
{P_{output}} = 0.102bbl/strk
\end{array}

String Volume 

\begin{array}{l}
String.volume = Drillpipe.volume + Collar.volume\\
String.volume = Drillpipe.Length*Drillpipe.capacity + Drillcollar.Length*Drillcollar.capacity
\end{array}

\begin{array}{l}
String.volume = 11000*0.01757 + 1000*0.0077\\
String.volume = 201bbls
\end{array} 
                
Strokes to the bit
\begin{array}{l}
Strokes.to.bit = \frac{{String.volume}}{{{P_{output}}}}\\
Strokes.to.bit = \frac{{201}}{{0.102}}\\
Strokes.to.bit = 1971strokes
\end{array}
 
Bit to Shoe volume

     a ). Volume between Drill collars and open hole

             \begin{array}{l}
OH/DC = Length.OH.DC*Annular.Capacity\\
OH/DC = 1000*0.0323\\
OH/DC = 32.3bbls
\end{array}

    b). Volume between Drill pipe and open hole

            \begin{array}{l}
OH/DP = Length.OH.DP*Annular.Capacity\\
OH/DP = 2000*0.0447\\
OH/DP = 89.4bbls
\end{array}

           Total.Volume = 121.7bbls

           \begin{array}{l}
Strokes.to.Shoe = \frac{{121.7}}{{0.102}}\\
Stokes.to.shoe = 1194strks
\end{array}

Once the TOP influx is inside the shoe the MAASP figure is not more valid!


8. Calculate the influx volume. 

            \begin{array}{l}
Height.Influx = \frac{{SICP - SIDPP}}{{MG - GG}}\\
Height.Influx = \frac{{900 - 500}}{{0.6 - 0.1}}\\
Height.Influx = 800ft
\end{array}
With
MG : Mud gradient
GG : Gas gradient

Annular drill collar capacity = 0.0323 bbl/ft

            \begin{array}{l}
Influx.Volume = 800*0.0323\\
Influx.Volume = 25.84bbls
\end{array}

9. Calculate the maximum kill circulation rate based on a mixing capacity of 450lbs/min.

We calculate the amount of barite required for each barrel of mud to weight it from the original mud weight to the kill mud weight. 
   
            Barite.weight.Increase = 1470*\frac{{KMW - OMW}}{{35.5 - KMW}}

           \begin{array}{l}
KMW = 0.642/0.052 = 12.35ppg\\
OMW = 0.600/0.052 = 11.54ppg
\end{array}

             Barite.weight.Increase = 1470*\frac{{(12.35 - 11.54)}}{{(35.5 - 12.35)}}

            Barite.weight.Increase = 52.48lbs/bbl

            \begin{array}{l}
Maximum.Weighting.rate = \frac{{450}}{{52.48}}\\
Maximum.Weighting.rate = 8.57bbls/\min 
\end{array}
 
            \begin{array}{l}
Maximum.kill.rate = \frac{{8.57}}{{0.102}}\\
Maximum.kill.rate = 84strks/\min 
\end{array}


10. How much barite is required?

             total.mud.volume = surface.volume + downhole.volume 
            downhole.volume = string.volume + annular.volume

              annular.volume = open.hole + cased.hole  

              \begin{array}{l}
cased.hole.volume = CSG.DP.Capacity*CSG.Length\\
cased.hole.volume = 0.0478*9000\\
cased.hole.volume = 430.2bbls
\end{array} 

              \begin{array}{l}
Downhole.Volume = 430.2 + 121.7 + 201\\
Downhole.Volume = 752.9bbls
\end{array}
 
              \begin{array}{l}
Total.Volume = 300 + 752.9bbls\\
Total.Volume = 1052.9bbls
\end{array}

              \begin{array}{l}
{{\rm Re}\nolimits} quired.Barite = 1052.9*52.48\\
{{\rm Re}\nolimits} quired.Barite = 55256.2Lbs
\end{array}

11. How much increase in volume would this addition of barite give.

              Volume.Increase.by.100bbl = 100*\frac{{KMW - OMW}}{{35.5 - KMW}} 
              Volume.Increase.by.100bbl = 100*\frac{{12.35 - 11.54}}{{35.5 - 12.35}} 
              Volume.Increase.by.100bbl = 3.57bbls 
  
              \begin{array}{l}
Total.Volume.Increase = 3.57*\frac{{1052.9}}{{100}}\\
Total.Volume.Increase = 37.59bbls
\end{array} 


12. Calculate the MAASP after killing the well.

              \begin{array}{l}
MAASP = (FG - MG)*CSG.TVD\\
MAASP = (0.800 - 0.642)*9000\\
MAASP = 1422psi
\end{array} 

With 
FG : Fracture pressure gradient
MG : the new mud weight gradient


We will be very glad when receiving your feedback. Any comments are welcome




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