April 2010, the worst oil spill ever recorded occurred when an explosion and fire on the DeepwaterHorizon offshore oil-drilling rig left 11 workers dead and began releasing oil into the Gulf of Mexico.One of the attempts to contain the spill involved pumping drilling mud into the well to balance thepressure of escaping oil against a column of fluid (the mud) having a density significantly higher thanthose of seawater and oil. In the following problems, you may assume that seawater has a specificgravity of 1.03 and that the subsea wellhead was 5053 ft below the surface of the Gulf.(a) Estimate the gauge pressure (psig) in the Gulf at a depth of 5053 ft.(b) Measurements indicate that the pressure inside the wellhead is 4400 psig. Suppose a pipe betweenthe surface of the Gulf and the wellhead is filled with drilling mud and balances that pressure.Estimate the specific gravity of the drilling mud.barite in the slurry?estimated in Part (c)? Explain your reasoning.(c) The drilling mud is a stable slurry of seawater and barite (SG4.37). What is the mass fraction of(d) What would you expect to happen if the barite weight fraction were significantly less than that

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Asked Feb 12, 2019
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April 2010, the worst oil spill ever recorded occurred when an explosion and fire on the Deepwater
Horizon offshore oil-drilling rig left 11 workers dead and began releasing oil into the Gulf of Mexico.
One of the attempts to contain the spill involved pumping drilling mud into the well to balance the
pressure of escaping oil against a column of fluid (the mud) having a density significantly higher than
those of seawater and oil. In the following problems, you may assume that seawater has a specific
gravity of 1.03 and that the subsea wellhead was 5053 ft below the surface of the Gulf.
(a) Estimate the gauge pressure (psig) in the Gulf at a depth of 5053 ft.
(b) Measurements indicate that the pressure inside the wellhead is 4400 psig. Suppose a pipe between
the surface of the Gulf and the wellhead is filled with drilling mud and balances that pressure.
Estimate the specific gravity of the drilling mud.
barite in the slurry?
estimated in Part (c)? Explain your reasoning.
(c) The drilling mud is a stable slurry of seawater and barite (SG
4.37). What is the mass fraction of
(d) What would you expect to happen if the barite weight fraction were significantly less than that
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April 2010, the worst oil spill ever recorded occurred when an explosion and fire on the Deepwater Horizon offshore oil-drilling rig left 11 workers dead and began releasing oil into the Gulf of Mexico. One of the attempts to contain the spill involved pumping drilling mud into the well to balance the pressure of escaping oil against a column of fluid (the mud) having a density significantly higher than those of seawater and oil. In the following problems, you may assume that seawater has a specific gravity of 1.03 and that the subsea wellhead was 5053 ft below the surface of the Gulf. (a) Estimate the gauge pressure (psig) in the Gulf at a depth of 5053 ft. (b) Measurements indicate that the pressure inside the wellhead is 4400 psig. Suppose a pipe between the surface of the Gulf and the wellhead is filled with drilling mud and balances that pressure. Estimate the specific gravity of the drilling mud. barite in the slurry? estimated in Part (c)? Explain your reasoning. (c) The drilling mud is a stable slurry of seawater and barite (SG 4.37). What is the mass fraction of (d) What would you expect to happen if the barite weight fraction were significantly less than that

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Expert Answer

Step 1

Part (a)

The formula to calculate the pressure on an object which is submerged in a fluid is:

P = ρhg

Here, ρ  is the density of the fluid, h is the height of the fluid above the submerged object, and g is the acceleration due to gravity.

Since, gauge pressure is asked, the atmospheric pressure above the fluid is not taken into consideration and only fluid pressure above the object is calculated.

The specific gravity of seawater is given as 1.03. Its density (ρ) will be:

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Step 2

The gauge pressure will be:

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Step 3

Part (b)

The pressure inside wellhead is given as 44...

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