Your company has just experienced the largest new field discovery in its history, and you have been selected to design the completion. The reservoir is conventional with a fairly high permeability, and it is unlikely that stimulation will be needed if the completion is performed correctly. With that in mind, you need to minimize the skin from perforating as much as possible. The following details describe the initial suggested perforation design.

Well radius is $4\mathrm{.}5$ inches

Reservoir horizontal permeability is $650mD$

Vertical permeability is $105mD$

Perforation length is $5$ inches

Perforations are shot at $4SPF$ and $90$ phasing

Perforation diameter is $0\mathrm{.}72$ inches

Answer the following questions using the Karakas & Tariq $(1988)$ technique:

a$.$ Determine the total perforation skin with the given design, showing the calculations and listing the specific value each of the three skin components wB