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Reservoir EngineeringWaterflooding and EOR

Dimensionless Time in Wet Combustion - Kuo Formula

tD=4Ms2αstMr2ht2t_D=\frac{4M_s^2\alpha_s t}{M_r^2h_t^2}

Dimensionless Time in Wet Combustion - Kuo calculates dimensionless wet-combustion 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 (M_s, M_r, alpha_s, t, h_t) 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_D equals 0.167184 dimensionless.

M_sBTU/ft^3-K

40

M_rBTU/ft^3-K

35

alpha_sft^2/day

0.8

tday

100

h_tft

50

Inputs

M_s

BTU/ft^3-K

Volumetric heat capacity of steam

M_r

BTU/ft^3-K

Volumetric heat capacity of reservoir

alpha_s

ft^2/day

Thermal diffusivity of steam to overburden

t

day

Elapsed combustion time

h_t

ft

Reservoir thickness

Outputs

t_D

dimensionless

Dimensionless wet-combustion time

M_s

BTU/ft^3-K

Volumetric heat capacity of steam

M_r

BTU/ft^3-K

Volumetric heat capacity of reservoir

alpha_s

ft^2/day

Thermal diffusivity of steam to overburden

t

day

Elapsed combustion time

h_t

ft

Reservoir thickness

Source and review

reviewed

Thermal Recovery, Prats, M. (1986)

Prats, M. 1986. Thermal Recovery. Society of Petroleum Engineers, New York, Chapter 8, Page 104.

Source

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