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)