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Chap7(PI)Txt - Chapter 7.Well Performance Depletion...

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Chapter 7...Well Performance Depletion history (Sec. 7-1) Microscopic continuity equation (Sec. 7-6) Solutions: infinite-acting (Sec. 7-7), steady state, semi-steady state Skin factors (Sec. 7-9)
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Chapter 7…Learning Objectives
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Primary Secondary Tertiary Oil Rate P Ave. S o Lim EL Time P _ Prod. Inj. 0.10 0.25 0.10 Producing Phases...
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Depletion History…. Flow rate Time Time Well pressure (b) (c) End of infinite-acting flow End of pseudo-steady-state flow Well 1 Well 2 Pressure t=1 2 3 4 5 6 7 Drainage boundary (a) t=5 Fig. 7-1
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Primary Depletion History . ... Rate Time
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Primary Depletion History .... Economically limiting rate (economic rate)…..
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Primary Depletion History .... Development period Extension of reservoir New wells being drilled Constant rate period Facilities limited Political issues Depletion period
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Idealized Depletion History . ... Rate Time Constant rate Depletion flow EL Economic life
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Chapter 7...Well Performance Depletion history (Sec. 7-1) Flow regimes (Sec. 7-2)
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Flow Regimes...
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Pressure Profiles... r r Flow in Flow out h r=r w r=r e radius p(r,t) p skin p wf
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Steady-State Pressure Profiles... r=r w r=r e p(r,t) radius p i
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Pressure and Rates... r=r w r=r e p(r,t) radius t 1 t 2 t 3 p i t>t 4 r=r w r=r e rate Well rate
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Well Pressures r=r w r=r e p(r,t) radius t 1 t 2 t 3 p i t>t 4 time pressure
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Semi-Steady State Profiles... r=r w r=r e p(r,t) radius t>t 4
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Semi-Steady State Profiles... t 1 t 2 t>t 4 r=r w r=r e p(r,t) radius t 3    p r = 0 r=r w r=r e rate Well rate
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Semi-Steady State Profiles... t 1 t 2 t>t 4 r=r w r=r e p(r,t) radius t 3    p r = 0 time pressure
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Chapter 7...Well Performance Depletion history (Sec. 7-1) Flow regimes (Sec. 7-2) Microscopic continuity equation (Sec. 7-6)
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Microscopic Continuity Equation... Undersaturated Oil... φ S o B o t + 1 r ru o B o r = 0 Recall
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Microscopic Continuity Equation... Undersaturated Oil... c f + c o ( 29 φ S o p t + ρ o φ S o t = k o 1 r r r ρ o μ o p r
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