Abstract

Fluid extraction from porous media by a slender permeable prolate-spheroid is analyzed. It is found that the flux density along the spheroid-reservoir surface increases with the sharpness of the spheroid tip; and the fluid production rate is significantly higher than that predicted by the cylinder model used in the literature. It is shown that the flow in the reservoir is a superposition of a confocal flow and a redistributive flow, with only the confocal flow being productive. For high spheroid-to-reservoir permeability ratios, there exists an optimum length-to-radius ratio that maximizes fluid production rate for a given spheroid body volume.

Original languageEnglish (US)
Pages (from-to)124-130
Number of pages7
JournalExtreme Mechanics Letters
Volume4
DOIs
StatePublished - Sep 1 2015

Keywords

  • Fluid extraction
  • Porous media
  • Slender body

ASJC Scopus subject areas

  • Chemical Engineering (miscellaneous)
  • Bioengineering
  • Engineering (miscellaneous)
  • Mechanical Engineering
  • Mechanics of Materials

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