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Reservoir EngineeringWaterflooding and EOR

Hot-Water Heated-Zone Area Growth Rate Formula

A˙=1.289×104qTjfwϕh\dot A=1.289\times10^{-4}\frac{qT_jf_w}{\phi h}

Hot-Water Heated-Zone Area Growth Rate calculates heated-zone area growth rate for waterflooding and eor workflows in reservoir engineering.

Calculate

How engineers use this formula

Use this formula when the listed inputs (q, T_j, f_w, phi, h) 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_dot equals 2.393857 ft^2/d.

qbbl/d

800

T_jK

450

f_wfraction

0.65

phifraction

0.28

hft

45

Inputs

q

bbl/d

Reservoir-Condition Flow Rate

T_j

K

Specific-Layer Temperature

f_w

fraction

Hot-Flood Water Fractional Flow

phi

fraction

Porosity

h

ft

Reservoir Height

Outputs

A_dot

ft^2/d

Heated-Zone Area Growth Rate

q

bbl/d

Reservoir-Condition Flow Rate

f_w

fraction

Hot-Flood Water Fractional Flow

h

ft

Reservoir Height

Source and review

reviewed

Thermal Recovery, Prats, M. (1986)

Prats, M. 1986. Thermal Recovery. Society of Petroleum Engineers, Page 45.

Source

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