The troublesome oil well in the Gulf of Mexico is reported to have a static pressure differential, at the sea-floor wellhead, of somewhere around 9,000 psi. My dad recently asked if this is for real or if people are just making up numbers, so I did a simple hydrostatic analysis, and came up with this:
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In the worst case, the static pressure at the sea-floor wellhead could be as high as 10,000 psi. If a pipe is connected from the sea-floor wellhead to the rig on the surface of the ocean, the static pressure at sea level could be as high as 8,500 psi.
Assumptions:
-Ocean depth, 5000 feet. Well depth, 18,000 feet below sea surface level.
-The earth between the sea floor and the oil formation is composed of granite, with a specific gravity of 2.7. Actual specific gravity could be higher or lower, depending on the composition (granite, basalt, clay/silt, organic mud, etc.).
-The oil in the formation is light crude, with a specific gravity of 0.85. Heavy crude has a specific gravity of around 0.95, and would result in a correspondingly lower absolute pressure at the sea-floor wellhead.
-At the length scales involved, the mechanical properties of the rock may be disregarded, and the rock treated as a fluid (i.e. pressure at the bottom is proportional to height and density). If the surrounding rock is somehow bearing a significant bending/shearing load imposed by the surrounding crust, this could result in different pressure in the formation.
-No effects due to dissolution of methane during ascent from the formation. If a significant amount of methane comes out of solution in the well pipe, the density of the fluid column in the pipe decreases, and greater pressure will be communicated from the formation to the sea-floor wellhead, up to a maximum of 17,500 psi.
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OK, so my 10,000 psi matches pretty closely with the 8-9000 psi being reported on the evening news. But…did I just get lucky? What is the actual mechanism that produces pressure in subterranean oil formations? Note that eventually - after they’ve removed enough oil from the formation - the pressure tends to drop, and they have to resort to things like water injection to get the well to continue producing. So maybe the hydrostatic pressure from the overburden is not the cause of the formation’s pressure?
Is it the dissolved methane trying to come out of solution that’s causing such high pressures?
Petroleum engineers, help me understand…