PGE 421K Spring 2010 HWSolution6

# PGE 421K Spring 2010 HWSolution6 - PGE 421K Spring 2010...

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Unformatted text preview: PGE 421K, Spring 2010 HOMEWORK 4 60 points Due M 1 Mar 1) A gathering system produces 650 B/D of a water-in-oil emulsion that is 20% water. The size of the water droplets spans a rather narrow range, from 50 to 80 microns. The oil viscosity is 22 mPa-sec and its density is 51 lb/ft 3 . Treater tanks are available with internal diameters of 2 ft, 3.5 ft and 4.75 ft. Which one do you order for this gathering system? g G¡¢ = £ G¡¢ ¤ ¥¦§¨ = © ª « ¬­® ¯°Gª¢±¥ − ® G¡¢ ² 18³ G¡¢ ¤ ¥¦§¨ = 18£ G¡¢ ³ G¡¢ © ª « ¬­® ¯°Gª¢±¥ − ® G¡¢ ² Convert droplet diameter from microns to meters, oil viscosity to ´µ ¶·¸ , density to ´µ ¶ ¹ , flow rate to º ¹ » and solve: ¤ ¥¦§¨ = 18¼1 − 0.2½¾.0012 º ¹ » ¿­0.022 ¨À ºÁ» ² ¼50 × 10 ÁÂ Ã½ « ­9.81 º » Ä ²­1000 ¨À º ¹ − 816.91 ¨À º ¹ ² = 84.5 Ã « = 909.3 ÅÆ « Tank Diamter (ft) Area(ft 2 ) Number of tanks 2 3.14 290 3.5 9.62 95 4.75 17.72 51 With the assumption that fewer tanks will require less capital costs, 51 tanks with 4.75” diameter will be the best choice. 2) You are cleaning up produced water before discharging it. The water contains oil droplets that are 5 to 10 microns in diameter. The volume fraction of the oil is negligible. You have a tank of internal diameter 1.25 m available. At what flow rate (BWPD) can you treat produced water with this tank? ¤ ¥¦§¨ = Ç 4 © « = Ç 4 1.25 « = 1.23 Ã 30 pts 30 pts g G¡¢£ = 18¤ ¥ ¦ ¥ § ¨ © ª«¬ ¥ − ¬ ­®¯¨°±G ² → ¤ ¥ = g G¡¢£ § ¨ © ª«¬ ¥ − ¬ ­®¯¨°±G...
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## This note was uploaded on 02/13/2012 for the course PGE 421K taught by Professor Bryant during the Spring '11 term at University of Texas.

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PGE 421K Spring 2010 HWSolution6 - PGE 421K Spring 2010...

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