Pb-01_OiL-well

Pb-7.1 Fay:

An oil well cosists of a pipe of D= 3.4 in and vertical depth L= 2 km

with a relative roughness k/D= 5 e-4. When not producing oil the shut-in

pressure is 5,800 psig. Consider an oil relativel density of s= 950 & = 0.1 Pa-s.

Calculate:

(a) the reservoir pressure, at the level of the bottom of the well, when not producing

(b) pt at the well-head, when the well is producing oil at a flow rate of 20,000 bbl/d,

the gage pressure at the top is less than the shut-in pressure while the pressure

at the bottom of the well remains at the reservoir pressure

(c) the flow rate (in bbl/d) when there is a blow-out of the well due to an inicident,

i.e. the oil flows freely to the atmosphere (gage pressure is zero at well-head)