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Reservoir EngineeringWaterflooding and EOR

Steam-Zone Growth Increment from Heat Capacity Formula

dzs=(4Msα1/2CwTLvMRse)dtπdz_s=\left(\frac{4M_s\alpha^{1/2}C_wT}{L_vM_{Rse}}\right)\sqrt{\frac{dt}{\pi}}

Steam-Zone Growth Increment from Heat Capacity calculates steam-zone growth increment for waterflooding and eor workflows in reservoir engineering.

Calculate

How engineers use this formula

Use this formula when the listed inputs (M_s_alpha_sqrt, C_w, T, L_v, dt, M_Rse) 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, dz_s equals 2.378832 ft.

M_s_alpha_sqrtBTU/ft^2-F-day^0.5

35

C_wBTU/lbm-F

1

TF

300

L_vBTU/lbm

900

dtday

10

M_RseBTU/ft^3-F

35

Inputs

M_s_alpha_sqrt

BTU/ft^2-F-day^0.5

Adjacent Formation Heat-Capacity-Diffusivity Term

C_w

BTU/lbm-F

Specific Heat of Water

T

F

Temperature Differential

L_v

BTU/lbm

Latent Heat of Vaporization

dt

day

Time Differential

M_Rse

BTU/ft^3-F

Effective Volumetric Heat Capacity of Steam Zone

Outputs

dz_s

ft

Steam-Zone Growth Increment

M_s_alpha_sqrt

BTU/ft^2-F-day^0.5

Adjacent Formation Heat-Capacity-Diffusivity Term

C_w

BTU/lbm-F

Specific Heat of Water

T

F

Temperature Differential

L_v

BTU/lbm

Latent Heat of Vaporization

M_Rse

BTU/ft^3-F

Effective Volumetric Heat Capacity of Steam Zone

dt

day

Time Differential

Source and review

reviewed

Thermal Recovery, Prats, M. (1986)

Prats, M. 1986. Thermal Recovery. Society of Petroleum Engineers, New York, Chapter 7, Page 80.

source conflict
Source

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