2hr dr r re dt r r w 2hr dr r rw vb bulk

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Unformatted text preview:  r dr = 0 − ∫ 2πh ȹ ∂t r ∂r ȹ r = rw ȹ Ⱥ r = re Second term... r =re ȹ ∂ rN ȹ r =re ∂ rN j 1 j ȹ r dr = ∫ 2πh dr ∫ 2πhȹ ȹ r ∂r ȹ ∂r r =r w ȹ Ⱥ r =r w () () Macroscopic Balances Second term... ȹ ∂ rN r =re j ȹ 1 ∫ 2πhȹ r =r w ȹ r ∂r () ( ȹ r =re ∂ rN j ȹ r dr = ∫ 2πh dr ȹ ∂r Ⱥ r =r w = 2πhrN j () ) r =re − (2πhrNj ) r =rw Macroscopic Balances Second term... ȹ ∂ rN r =re j ȹ 1 ∫ 2πhȹ r =r w ȹ r ∂r () ȹ r =re ∂ rN j ȹ r dr = ∫ 2πh dr ȹ ∂r Ⱥ r =r w ( = 2πhrN j (q j )sc Production rate of j in std.vol./time Production is >0 () ) r =re − (2πhrNj ) r =rw () () ( )sc ( ) = qj f − qj sc sc = − qj 1− f Macroscopic Balances Second term... () ȹ ∂ rN ȹ j ȹ ȹ 1 r dr = − q j 1− f ∫ 2πh ȹ r ∂r ȹ sc r = rw ȹ Ⱥ r = re (q j )sc Flow in Flow out r () Δr ( h ) (q j )scf Macroscopic Balances First term... r = re ȹ r = re ȹ ∂ φC j d r dr = ȹ ∫ 2πhφC jr dr ȹ ∫ 2πh ∂t dt ȹ r = r ȹ r = rw ȹ w Ⱥ () r = re ...
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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 at Austin.

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