Three beds of equal cross section have permeabilities of 50

Three beds of equal cross section have permeabilities of 50 md, 500 md, and 200 md and lengths of 10 ft, 40 ft, and 75 ft, respectively. What is the average permeability of the beds placed in series? What are the ratios of the pressure drops across the individual beds for liquid flow? For gas flow, will the overall pressure drop through beds in series be the same for flow in either direction? Will the individual pressure drops be the same? The gas flow constant for a given linear system is 900, so that - P^2 _1 - P^2 _2 = 900 - L/K If the upstream pressure is 500 psia, calculate the pressure drops in each of two beds for series flow in both directions. The one bed is 10 ft long and 100 md; and the second bed is 70 ft and 900 md. A producing formation from top to bottom consists of 10 ft of 350 md sand, 4 in. of 0.5 md shale, 4 ft of 1230 md sand, 2 in. of 2.4 md shale, and 8 ft of 520 md sand. What is the average vertical permeability?

Solution

The average permeability of the news placed in the series is .96

The ratio of pressure drop is 45 bar .