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Reservoir EngineeringWaterflooding and EOR

Hot-Water Flood Real Time from Dimensionless Time Formula

t=h2Mr2tD4αsMs2t=\frac{h^2 M_r^2 t_D}{4\alpha_s M_s^2}

Hot-Water Flood Real Time from Dimensionless Time calculates real time for waterflooding and eor workflows in reservoir engineering.

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How engineers use this formula

Use this formula when the listed inputs (h, M_r, t_D, 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, t equals 510.416667 day.

hft

50

M_rBTU/ft^3-F

35

t_Ddimensionless

0.5

alpha_sft^2/day

1.2

M_sBTU/ft^3-F

25

Inputs

h

ft

Layer thickness

M_r

BTU/ft^3-F

Volumetric heat capacity of reservoir

t_D

dimensionless

Dimensionless time

alpha_s

ft^2/day

Steam or thermal diffusivity

M_s

BTU/ft^3-F

Volumetric heat capacity of steam zone

Outputs

t

day

Real time

h

ft

Layer thickness

M_r

BTU/ft^3-F

Volumetric heat capacity of reservoir

t_D

dimensionless

Dimensionless time

alpha_s

ft^2/day

Steam or thermal diffusivity

M_s

BTU/ft^3-F

Volumetric heat capacity of steam zone

Source and review

reviewed

Prats, M. 1986. Thermal Recovery. Society of Petroleum Engineers, Chapter 6, Page 61.

Source

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