Question 4.11 Consider the radial flow problem shown in top view (right), where the shaded area represents a damaged zone due to the drilling operations. Assume there are three horizontal layers of equal heights (thickness), and the permeability of the undamaged formation is 45 mD in layer 1, 25 mD in layer 2, and 30 mD in layer 3. Further assume that the radius of damage is 2.2 ft and the permeability of the damaged zone is 1.5 mD is 0.6 ft, and the radius of the reservoir is 450 ft. all the three layers. The radius of the wellbore a) What is the average permeability in each horizontal layer? b) What is the average permeability of the three layers?

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Question 4.11
Consider the radial flow problem shown in top view (right), where the shaded
area represents a damaged zone due to the drilling operations. Assume there
are three horizontal layers of equal heights (thickness), and the permeability of
the undamaged formation is 45 mD in layer 1, 25 mD in layer 2, and 30 mD in
layer 3. Further assume that the radius of damage is 2.2 ft and the permeability
of the damaged zone is 1.5 mD in all the three layers. The radius of the wellbore
is 0.6 ft, and the radius of the reservoir is 450 ft.
a) What is the average permeability in each horizontal layer?
b) What is the average permeability of the three layers?
(Top View)
Transcribed Image Text:Question 4.11 Consider the radial flow problem shown in top view (right), where the shaded area represents a damaged zone due to the drilling operations. Assume there are three horizontal layers of equal heights (thickness), and the permeability of the undamaged formation is 45 mD in layer 1, 25 mD in layer 2, and 30 mD in layer 3. Further assume that the radius of damage is 2.2 ft and the permeability of the damaged zone is 1.5 mD in all the three layers. The radius of the wellbore is 0.6 ft, and the radius of the reservoir is 450 ft. a) What is the average permeability in each horizontal layer? b) What is the average permeability of the three layers? (Top View)
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