This is a question regarding pressure difference and flow rates related to the on going oil spill off the coast of Louisiana.
Does the distance from the surface of the leak in the risers affect the rate at which the oil will flow out of the pipe?
Example; Lets say that the riser is leaking at several locations, each at a different depth.
In order to simplify the question I will set the holes in the riser at equal area.
In this thought experiment the leaks are at 500 meters, 1000 meters, and 1500 meters.
What is the relationship between the depth of the leaks and the oil flow rates?
Am I correct in assuming that the pressure difference between the inside of the pipe and the outside of the pipe combined with the viscosity of the oil and area of the hole in the pipe will define the flow rate?
The water pressure outside the pipe will approximate Pressure (P) = Acceleration of Gravity (g) x the water density (p) x the water depth (h).
At 500 meters the pressure out side the pipe would be P= 9.8 * 1000 * 500 = 4.9E6 Pascals.
At 1000 meters the pressure outside the pipe would be P= 9.8 * 1000 * 1000 = 9.8E6 Pascals.
At 1500 meters the pressure outside the pipe would be P= 9.8* 1000 * 1500 = 1.47E7 Pascals.
If it is the pressure difference between the inside of the pipe and the outside of the pipe that drives the oil out of the pipe then does it make sense that for any given area, the deeper the leak the less the oil will flow?
So now I ask the question – if the sum area of the leaking riser above the well head is equal to or greater than the diameter of the riser head would severing the riser just above the well head reduce the rate of flow?
By severing the riser just above the well head make recovering the leaking oil less problematic than trying to do so at several different locations.
Well scientists and engineers – how about some ideas?
Gavilan