c rn j j 1 r dr 0 2h t r r r rw r

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Unformatted text preview: ȹ ȹ ȹ Ⱥ ȹ ȹ ȹ u ȹ ȹ ȹ ug ȹ ∂ȹ r ȹ o + R v ȹ ȹ ȹ ȹ ȹ ȹ ȹ ȹ ȹ B o B g 1 ȹ ȹ Ⱥ Ⱥ + ȹ ȹ = 0 r ȹ ∂r ȹ ȹ ȹ ȹ Ⱥ Material Balances... •  Water... ȹ ȹ ȹ S ȹ ȹ ȹ ȹ ȹ ȹ u ȹ ȹ ȹ ȹ ∂ȹ φȹ w ȹ ȹ ȹ ȹ ∂ȹ r ȹ w ȹ ȹ ȹ ȹ ȹ ȹ B w Ⱥ Ⱥ ȹ 1ȹ ȹ ȹ B w Ⱥ Ⱥ ȹ ȹ ȹ + r ȹ ȹ = 0 ∂t ∂r ȹ ȹ ȹ ȹ ȹ  ȹ ȹ ȹ Ⱥ ȹ Ⱥ Eq. 5-18 Chapter 5…Material Balances •  Microscopic balances (pde) –  Balances over slice in time and space •  Macroscopic balances (ode or equation) –  Over entire reservoir and time slice Macroscopic Balances Flow in Flow out r h Δr r=re r=rw () () ȹ ∂ φC ȹ ȹ ∂ rN ȹ j ȹ j ȹ 1 ȹ ȹ = ȹ ∂t ȹ r ȹ ∂r ȹ ȹ Ⱥ r ȹ Ⱥ t Macroscopic Balances () () ȹ ∂ φC ȹ ȹ ∂ rN ȹ j ȹ j ȹ 1 ȹ ȹ = ȹ ∂t ȹ r ȹ ∂r ȹ ȹ Ⱥ r ȹ Ⱥ t Integral over entire volume... () () ȹ ∂ φC ∂ rN j ȹ j 1 ȹ ȹ r dr = 0 − ∫ 2πh ȹ ∂t r ∂r ȹ r = rw ȹ Ⱥ r = re Macroscopic Balances Integrate over entire volume... () () ȹ ∂ φC ∂ rN j ȹ j 1 ȹ ...
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This note was uploaded on 08/29/2013 for the course PGE 323 K taught by Professor Lake during the Fall '12 term at University of Texas.

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