We are drilling in the ${8\mathrm{.}5}^{\text{'}\text{'}}-$hole section of a vertical well at $11,000ft.$ The previous casing string $(9-\frac{5}{8},47lb\frac{s}{\frac{?}{?}}ft)$ was run and cemented at $8,500ft.$ A kick has been detected. $8$ bbls of $11$ ppg mud has been gained in the mud pit. The well was shut in and casing pressure was recorded $($Table $1).$ The shut$-$in drill pipe pressure is $230$ psi $.$ The drill string consists of $600ft6-\frac{1}{4}DC93\mathrm{.}5l\frac{b}{\frac{?}{?}},$ft $,$ and $5^{\text{'}\text{'}}$ DP$,19\mathrm{.}5l\frac{b}{f}t.$ Reduced Circulating Pressure $($RCP$)$ is $360$ psi $.$ The mud pump is a triplex single$-$acting pump with the following specifications:

Length of liner: $14$ inches

Piston diameter: $6$ inches

Rod diameter: $2$ inches

Volumetric efficiency: $\%97$

Calculate:

a$.$ Casing Shut$-$In Pressure $($CSIP$)$

b$.$ Type of influx

c$.$ Minimum required BOP pressure rating

d$.$ Discuss the effects of MW$,$ formation pressure, fracture propagation pressure, and type of influx on MAASP.

e$.$ Formation Pressure.

f$.$ Kill mud density.

g$.$ Density of influx

h$.$ Generate the kill sheet if $SF=200$

i$.$ Draw SPP vs$.$ pump stroke for both first and second circulation, if $SF=200$ psi.

j$.$ Calculate MAASP for both current and kill mud if fracture propagation pressure $($FPP$)$ is $0\mathrm{.}71\frac{}{ft}.$

k$.$ After finishing the first and second circulation of driller's method and turning off the mud pump, what values should Standpipe Pressure $($SSP$)$ and $P_{csg}$ gauges be reading after:

a$.$ Successfully finishing the first circulation of the driller's

$\backslash$table$[[$Casing Pressure Data$],[$Time$,$ min,P$,$ psi$],[0,0],[1,153],[2,220],[3,265],[4,298],[5,320],[6,335],[7,346],[8,353],[9,358],[10,363],[11,368],[12,373],[13,378],[14,383],[15,388]]$

method. Why?

b$.$ Successfully finishing the second circulation of the driller's method. Why?