PERMEABILITY Flow of Liquids in Porous Media

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PERMEABILITYFlow of Liquids in Porous Media
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Linear Flow, Incompressible Liquid

• 1-D Linear Flow System
• steady state flow
• incompressible fluid, q(0?s ? L) constant
• d? includes effect of dZ/ds (change in elevation)
• A(0?s ? L) constant
• Darcy flow (Darcys Law is valid)
• k constant (non-reactive fluid)
• single phase (S1)
• isothermal (constant ?)

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Linear Flow, Incompressible Liquid

• Darcys Law
• q1?2 gt 0, if ?1 gt ?2
• Use of flow potential, ?, valid for horizontal,
  vertical or inclined flow

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Radial Flow, Incompressible Liquid

• 1-D Radial Flow System
• steady state flow
• incompressible fluid, q(rw?s ? re) constant
• horizontal flow (dZ/ds 0 ? ? p)
• A(rw?s ? re) 2prh where, hconstant
• Darcy flow (Darcys Law is valid)
• k constant (non-reactive fluid)
• single phase (S1)
• isothermal (constant ?)
• ds -dr

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Radial Flow, Incompressible Liquid

• Darcys Law
• qe?w gt 0, if pe gt pw

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Flow Potential - Gravity Term

• ? p - ?gZ/c
• Z?
• Z is elevation measured from a datum
• ? has dimension of pressure
• Oilfield Units
• c (144 in2/ft2)(32.17 lbm?ft/lbf?s2)

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Flow Potential - Darcys Experiment

• Discuss ABW, Fig. 2-26 (pg. 68)
• Confirm that for the static (no flow) case, the
  flow potential is constant (there is no potential
  gradient to cause flow)
• top of sand pack
• bottom of sand pack

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Flow Potential - Example Problem

• Discuss ABW, Example 2-8 (pg. 75)
• Solve this problem using flow potential

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Permeability Units

• Discuss ABW, Example 2-9 (pg. 79)
• 2 conversion factors needed to illustrate
  permeability units of cm2
• cp ? Pa?s
• atm ?Pa