TAMU PETE 662 - Ch 2 (26 pages)

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Ch 2



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Ch 2

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Pages:
26
School:
Texas A&M University
Course:
Pete 662 - Production Engineering
Production Engineering Documents

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PETE 662 Production Engineering Chapter 2 Production from Undersaturated Oil Reservoirs Undersaturated Oil Reservoirs pe pwf pbubble point single phase flow in reservoir rock Undersaturated Oil Reservoirs Darcy s Law for Single Phase Radial Flow kA dp q 2 1 dr where q flow rate k permeability A cross sectional area perpendicular to flow fluid viscosity p pressure r radial distance from center of well Undersaturated Oil Reservoirs Diffusivity Equation 1 k p p r c r r r t where fluid density c system compressibility k permeability porosity fluid viscosity p pressure r radial distance from center of well t time Diffusivity equation describes the pressure profile in the reservoir during production Undersaturated Oil Reservoirs Single phase Flow under Steady State Condition A well draining from a reservoir with an open boundary where the fluid withdraw from the well is balanced exactly by fluid entry across the open boundary p p wf q r ln 2 4 2 kh rw Skin Effects The Near Wellbore Damage The additional pressure drop required to achieve a given flow rate caused by the skin effect can be expressed as p s q s 2 5 2 kh Including skin effect with oil field units Eq 2 4 becomes pe p wf 141 2qB re ln s 2 8 kh rw Table 1 1 Typical Units for Reservoir and Production Engineering Calculations Variable Oilfield Units SI Conversion Multiply Oilfield Unit Area acre m2 4 04 103 Compressibility psi 1 Pa 1 1 45 10 4 Length ft m 3 05 10 1 Permeability md m2 9 9 10 16 Pressure psi Pa 6 9 103 Rate oil STB d m3 s 1 84 10 6 Rate gas MSCF d m3 s 3 28 10 4 Viscosity cp Pa s 1 10 3 Skin Effects Effective Wellbore Radius pe p wf 141 2qB re ln s 2 8 kh rw pe p wf r 141 2qB ln e s 2 11 kh rw e Define effective wellbore radius rw as rw rw e s 2 12 Eq 2 11 can be written as pe p wf 141 2qB re ln kh rw Impact of Skin Effects on Effective Wellbore Radius rw rw e s 2 12 Example s 10 rw 4 5 10 5 rw In contrast s 6 rw 403rw Positive skin factor decreases effective wellbore radius Negative skin factor



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