PETE311_06A_Class07_(Maggard)

PETE311_06A_Class07_(Maggard) - PERMEABILITY Flow of...

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PERMEABILITY Flow of Liquids in Porous Media
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Linear Flow, Incompressible Liquid 1-D Linear Flow System Assumptions • steady state flow • incompressible fluid, q(0 s L) = constant •d Φ includes effect of dZ/ds (change in elevation) •A ( 0 s L) = constant • Darcy flow (Darcy’s Law is valid) • k = constant (non-reactive fluid) • single phase (S=1) • isothermal (constant μ ) L q A 1 2
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Linear Flow, Incompressible Liquid • Darcy’s Law: •q 1 2 > 0, if Φ 1 > Φ 2 • Use of flow potential, Φ , valid for horizontal, vertical or inclined flow L q A 1 2 = = ds d Φ μ k A q v s d Φ μ kA ds q = Φ Φ = 2 1 d Φ μ kA ds q L 0 () 2 1 L μ A k q Φ Φ =
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Radial Flow, Incompressible Liquid 1-D Radial Flow System Assumptions • steady state flow • incompressible fluid, q(r w s r e ) = constant • horizontal flow (dZ/ds = 0 ∴Φ = p) •A ( r w s r e ) = 2 π rh where, h=constant • Darcy flow (Darcy’s Law is valid) • k = constant (non-reactive fluid) • single phase (S=1) • isothermal (constant μ ) •d s = - d r q r e r w
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This note was uploaded on 12/03/2009 for the course PETE 311 taught by Professor Staff during the Spring '08 term at Texas A&M.

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PETE311_06A_Class07_(Maggard) - PERMEABILITY Flow of...

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