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Reservoir EngineeringWaterflooding and EOR

Steam Drive Cumulative Oil Produced - Prats Formula

Np=7758ϕhnht(SoiSor)EcVsN_p=7758\phi\frac{h_n}{h_t}(S_{oi}-S_{or})E_cV_s

Steam Drive Cumulative Oil Produced - Prats calculates cumulative oil produced for waterflooding and eor workflows in reservoir engineering.

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How engineers use this formula

Use this formula when the listed inputs (phi, h_n, h_t, S_oi, S_or, E_c, V_s) are known and the assumptions behind the cited waterflooding and eor relationship match the engineering case being checked.

Assumptions

  • Input values are representative for the well, reservoir, fluid, or equipment case being evaluated.
  • The declared units match the field-unit constants used in the formula.
  • The cited formula applies to the selected petroleum engineering workflow.

Limitations

  • The calculation does not replace a full engineering model or operating procedure.
  • Accuracy depends on the source correlation, assumptions, input quality, and unit consistency.

Common mistakes

  • Mixing unit systems without converting the inputs.
  • Using default example values as field recommendations.
  • Applying the formula outside the source assumptions.

Default example

Using the default inputs, N_p equals 502,718.4 bbl.

phifraction

0.3

h_nft

40

h_tft

50

S_oifraction

0.7

S_orfraction

0.25

E_cfraction

0.6

V_sacre-ft

1000

Inputs

phi

fraction

Porosity

h_n

ft

Net thickness

h_t

ft

Gross thickness

S_oi

fraction

Initial oil saturation

S_or

fraction

Residual oil saturation

E_c

fraction

Capture efficiency

V_s

acre-ft

Volume of steam in reservoir

Outputs

N_p

bbl

Cumulative oil produced

phi

fraction

Porosity

h_n

ft

Net thickness

h_t

ft

Gross thickness

S_oi

fraction

Initial oil saturation

S_or

fraction

Residual oil saturation

E_c

fraction

Capture efficiency

V_s

acre-ft

Volume of steam in reservoir

Source and review

reviewed

Thermal Recovery Monograph, Prats, M. (1986)

Prats, M. 1986. Thermal Recovery Monograph Vol. 7. Society of Petroleum Engineers, Houston, Page 75.

Source

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