PGE 362 exam1 retest solution

# PGE 362 exam1 retest solution - ratio This equation is an...

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PGE 362 Production Engineering Exam 1 Re-Test You have 25 minutes to complete two questions. The exam is closed book and closed notes. You will need a calculator and a pen or pencil. (1) (3 points) Please compute the gas hold up for the following multiphase flow. The flowing potential energy gradient is 0.0108 psi/ft in a vertical well. The oil is 53 lb/cuft (9.45 ppg) and the gas is 3.5 lb/cuft (0.624 ppg). ( 29 o sin 0.0108 psi/ft 807.84 =8.725 ppg = 1 0.0821 PE g g g g dp dz y y y ρ θ ρ ρ = = - + =

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(2) (3 points) Please explain the conditions under which the following skin equations apply and why. (a) ln 1 s dp p w s s r k k s s r k k = - + This is the equation for combined mechanical and perforating skin where the perforations do not penetrate the damage radius. The perforation skin is amplified by the ratio of normal to altered permeability. Thus, if the perforations create a harmful damage this effect is magnified and much worse depending on the magnitude of the permeability ratio. If the perforation skin can be made a useful value, the beneficial effect is equally magnified by the permeability
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Unformatted text preview: ratio. This equation is an analytical result for the following flow system. The pressure drop through the system is shown as a series: 141.2 141.2 141.2 ln ln ln simplifying and solvin for ln 1 o o o e o o o e o o o s dp p w s s w dp s dp p w s s q B r q B r q B r s s kh r kh r k h r s r k k s s r k k μ + = + + =-+ w r s r e r k s k (b) This is a semi-analytical result for combined mechanical and perforating skin where the perforations do penetrate beyond the damage radius. The effective length of the perforation and the effective well bore radius used to model the perforating skin are adjusted to show the effect of the altered permeability on flow into the perforation through the damaged radius. s s w w s s perf perf p dp r k k r r r k k l l s s ) 1 ( ) 1 ( using evaluated is ) s ( skin n perforatio the p-+ = ′--= ′ ′ ′ =...
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PGE 362 exam1 retest solution - ratio This equation is an...

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