Consider the radial flow problem shown in top view where the shaded area represents a damage zone with reduced permeability. Also assume that the system consists of 3 horizontal flow units of equal thickness. The original undamaged permeabilities are 55 md in the top layer, 17.5 md in the middle layer and 28 md in the bottom layer, the reservoir radius is 660 ft, and the damage zone radius is 2.5 ft and well bore radius is 0.3 ft in all three layers. The damaged zones’ permeabilities are all 10.5 md in all three layers. Assume that in each layer and in each section of this system flow is steady state radial in the horizontal plane.  Is this system radial series or radial parallel layers ?  In order to calculate average permeability of the total system do you average  parallel layers first or series layers first?  Calculate the average permeability of the total system?  Plot the pressure profile from wellbore to the reservoir external boundary for the uppermost layer.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Consider the radial flow problem shown in top view where the shaded area represents a damage zone with reduced permeability. Also assume that the system consists of 3 horizontal flow units of equal thickness. The original undamaged permeabilities are 55 md in the top layer, 17.5 md in the middle layer and 28 md in the bottom layer, the reservoir radius is 660 ft, and the damage zone radius is 2.5 ft and well bore radius is 0.3 ft in all three layers. The damaged zones’ permeabilities are all 10.5 md in all three layers. Assume that in each layer and in each section of this system flow is steady state radial in the horizontal plane. 

  1. Is this system radial series or radial parallel layers ? 
  1. In order to calculate average permeability of the total system do you average  parallel layers first or series layers first? 
  1. Calculate the average permeability of the total system? 
  1. Plot the pressure profile from wellbore to the reservoir external boundary for the uppermost layer.
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