Differential hydrostatic pressure between cement in the annulus and mud inside the casing

Input(s)

hw\mathrm{h}_{\mathrm{w}}: Well Depth (ft)

hf\mathrm{h}_{\mathrm{f}}: Float Collar (Feet Number Above the Shoe) (ft)

h1\mathrm{h}_1: Lead Slurry Depth (ft)

ht\mathrm{h}_{\mathrm{t}}: Tail Slurry Depth (ft)

wm\mathrm{w}_{\mathrm{m}}: Mud Weight (lb/gal)

wl\mathrm{w}_{\mathrm{l}}: Lead Slurry Weight (lb/gal)

wt\mathrm{w}_{\mathrm{t}}: Tail Slurry Weight (lb/gal)

Output(s)

Pa\mathrm{P}_{\mathrm{a}}: Total Pressure in Annulus (psi)

Pc\mathrm{P}_{\mathrm{c}}: Total Pressure in Casing (psi)

Pd\mathrm{P}_{\mathrm{d}}: Total Pressure Differential (psi)

Formula(s)

Pa=0.052(wl hl+wt ht+wm( hwhlht))Pc=0.052(wm( hwhf)+wt hf)Pd=PaPc\begin{gathered} \mathrm{P}_{\mathrm{a}}=0.052 *\left(\mathrm{w}_{\mathrm{l}} * \mathrm{~h}_{\mathrm{l}}+\mathrm{w}_{\mathrm{t}} * \mathrm{~h}_{\mathrm{t}}+\mathrm{w}_{\mathrm{m}} *\left(\mathrm{~h}_{\mathrm{w}}-\mathrm{h}_{\mathrm{l}}-\mathrm{h}_{\mathrm{t}}\right)\right) \\ \mathrm{P}_{\mathrm{c}}=0.052 *\left(\mathrm{w}_{\mathrm{m}} *\left(\mathrm{~h}_{\mathrm{w}}-\mathrm{h}_{\mathrm{f}}\right)+\mathrm{w}_{\mathrm{t}} * \mathrm{~h}_{\mathrm{f}}\right) \\ \mathrm{P}_{\mathrm{d}}=\mathrm{P}_{\mathrm{a}}-\mathrm{P}_{\mathrm{c}} \end{gathered}

Reference(s)

Lyons, W. C., Carter, T., and Lapeyrouse, N. J., 2012, Formulas and Calculations for Drilling, Production and Workover, Third Edition, Gulf Professional Publishing, Page: 84.


Related

An unhandled error has occurred. Reload 🗙