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Reservoir EngineeringWaterflooding and EOR

Ignition Delay Time in In-Situ Combustion Formula

tig=2.04×107MrTa2(1+2RTa/Ea)Rexp(Ea/RTa)EaΔhaϕSoρoAcPO2nt_{ig}=\frac{2.04\times10^{-7}M_rT_a^2(1+2RT_a/E_a)R\exp(E_a/RT_a)}{E_a\Delta h_a\phi S_o\rho_oA_cP_{O2}^{n}}

Ignition Delay Time in In-Situ Combustion calculates ignition delay for waterflooding and eor workflows in reservoir engineering.

Calculate

How engineers use this formula

Use this formula when the listed inputs (M_r, T_a, n_oxy, R, E_a, dh_a, phi, S_o, rho_o, A_c, P_O2) 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_ig equals 9,604.862312 s.

M_rBTU/ft^3-K

35

T_aK

900

n_oxydimensionless

1

RBTU/lbmol-K

1.986

E_aBTU/lbmol

20000

dh_aBTU

80

phifraction

0.25

S_ofraction

0.6

rho_og/cc

0.85

A_c1/psi-K

0.00001

P_O2psi

50

Inputs

M_r

BTU/ft^3-K

Volumetric Heat Capacity of Reservoir

T_a

K

Initial Absolute Temperature

n_oxy

dimensionless

Oxygen Pressure Exponent

R

BTU/lbmol-K

Gas Constant

E_a

BTU/lbmol

Activation Energy

dh_a

BTU

Heat Generated by Oxygen

phi

fraction

Porosity

S_o

fraction

Oil Saturation

rho_o

g/cc

Oil Density

A_c

1/psi-K

Pre-Exponential Constant

P_O2

psi

Partial Pressure of Oxygen

Outputs

t_ig

s

Ignition Delay

A_c

1/psi-K

Pre-Exponential Constant

dh_a

BTU

Heat Generated by Oxygen

phi

fraction

Porosity

S_o

fraction

Oil Saturation

rho_o

g/cc

Oil Density

P_O2

psi

Partial Pressure of Oxygen

n_oxy

dimensionless

Oxygen Pressure Exponent

Source and review

reviewed

Thermal Recovery, Prats, M. (1986)

Prats, M. 1986. Thermal Recovery. Society of Petroleum Engineers, New York, Chapter 8, Page 95.

Source

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