Ignition delay time in in-situ combustion

Input(s)

MrM_{r}: Volumetric Heat Capacity of Reservoir (BTU/ft3 K)\left(\mathrm{BTU} / \mathrm{ft}^{3} \mathrm{~K}\right)

TaT_{a}: Initial Absolute Temperature (K)

n\mathrm{n}: exponent

R\mathrm{R}: Gas Constant (BTU/mol K psi)

E: Activation Energy (BTU/K mol)

(dh)a(d h)_{a}: Heat Generated by Oxygen (BTU)

\varnothing: Porosity (fraction)

SoS_{o}: Saturation of Oil (fraction)

ρo\rho_{o}: Density (g/cc)(\mathrm{g} / \mathrm{cc})

AcA_{c}: Pre Exponential Constant (1/psi K)

Po2P_{o 2}: Partial Pressure of Oxygen (psi)

Output(s)

tigt_{i g}: Ignition Delay (s)

Formula(s)

tig=2.04107Mr Ta2(1+(2R TaE))Rexp(ER Ta)E(dh)a Soρo AcPo2n\mathrm{t}_{\mathrm{ig}}=\frac{2.04 * 10^{-7} * \mathrm{M}_{\mathrm{r}} * \mathrm{~T}_{\mathrm{a}}^{2} *\left(1+\left(\frac{2 * \mathrm{R} * \mathrm{~T}_{\mathrm{a}}}{\mathrm{E}}\right)\right) * \mathrm{R} * \exp \left(\frac{\mathrm{E}}{\mathrm{R} * \mathrm{~T}_{\mathrm{a}}}\right)}{\mathrm{E} *(\mathrm{dh})_{\mathrm{a}} * \emptyset * \mathrm{~S}_{\mathrm{o}} * \rho_{\mathrm{o}} * \mathrm{~A}_{\mathrm{c}} * \mathrm{P}_{\mathrm{o} 2}^{\mathrm{n}}}

Reference(s)

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


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