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Reservoir EngineeringWaterflooding and EOR

Areal Extent of Heated Zone in Thermal Recovery Formula

A=QihMrG435604ΔTαsMs2A=\frac{Q_ihM_rG}{43560\cdot4\Delta T\alpha_sM_s^2}

Areal Extent of Heated Zone in Thermal Recovery calculates areal extent of heated zone for waterflooding and eor workflows in reservoir engineering.

Calculate

How engineers use this formula

Use this formula when the listed inputs (Q_i, h, M_r, G, Delta_T, alpha_s, M_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, A_hz equals 1,205.23416 acre.

Q_iBTU

1000000000

hft

50

M_rBTU/ft^3/F

35

Gdimensionless

1.2

Delta_TF

200

alpha_sft^2/day

0.5

M_sBTU/ft^3/F

10

Inputs

Q_i

BTU

Injected Heat

h

ft

Reservoir Height

M_r

BTU/ft^3/F

Reservoir Volumetric Heat Capacity

G

dimensionless

Dimensionless Time Function

Delta_T

F

Temperature Difference

alpha_s

ft^2/day

Steam-Zone Thermal Diffusivity

M_s

BTU/ft^3/F

Steam Volumetric Heat Capacity

Outputs

A_hz

acre

Areal Extent of Heated Zone

Q_i

BTU

Injected Heat

h

ft

Reservoir Height

M_r

BTU/ft^3/F

Reservoir Volumetric Heat Capacity

G

dimensionless

Dimensionless Time Function

Delta_T

F

Temperature Difference

alpha_s

ft^2/day

Steam-Zone Thermal Diffusivity

M_s

BTU/ft^3/F

Steam Volumetric Heat Capacity

Source and review

reviewed

Prats, M. Thermal Recovery, Society of Petroleum Engineers, Chapter 5, Page 44.

Source

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