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Reservoir EngineeringWaterflooding and EOR

Equivalent Steam Volume Injected - Myhill and Stegemeier Formula

Ws,eq=2.853×106Cw(TsbTa)+fsbLvbCw(TiTo)+fvdhLvdhW_{s,eq}=2.853\times10^{-6}\frac{C_w(T_{sb}-T_a)+f_{sb}L_{vb}}{C_w(T_i-T_o)+f_{vdh}L_{vdh}}

Equivalent Steam Volume Injected - Myhill and Stegemeier calculates equivalent steam volume injected for waterflooding and eor workflows in reservoir engineering.

Calculate

How engineers use this formula

Use this formula when the listed inputs (C_w, T_sb, T_a, f_sb, L_vb, T_i, T_o, f_vdh, L_vdh) 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, W_s_eq equals 0.000003 bbl.

C_wBTU/lbm-F

1

T_sbdegF

550

T_adegF

80

f_sbfraction

0.8

L_vbBTU/lbm

900

T_idegF

500

T_odegF

100

f_vdhfraction

0.7

L_vdhBTU/lbm

850

Inputs

C_w

BTU/lbm-F

Specific Heat Capacity of Water or Steam

T_sb

degF

Steam Temperature at Boiler Outlet

T_a

degF

Ambient Temperature

f_sb

fraction

Steam Quality at Boiler Outlet

L_vb

BTU/lbm

Latent Heat of Vaporization at Boiler Outlet

T_i

degF

Downhole Steam Injection Temperature

T_o

degF

Initial Reservoir or Reference Temperature

f_vdh

fraction

Downhole Steam Quality

L_vdh

BTU/lbm

Downhole Latent Heat of Vaporization

Outputs

W_s_eq

bbl

Equivalent Steam Volume Injected

C_w

BTU/lbm-F

Specific Heat Capacity of Water or Steam

f_sb

fraction

Steam Quality at Boiler Outlet

L_vb

BTU/lbm

Latent Heat of Vaporization at Boiler Outlet

f_vdh

fraction

Downhole Steam Quality

L_vdh

BTU/lbm

Downhole Latent Heat of Vaporization

Source and review

reviewed

Thermal Recovery, Prats, M. (1986)

Prats, M. 1986. Thermal Recovery. Society of Petroleum Engineers, Chapter 7, Page 78.

Source

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