Temperature increase with time during in-situ combustion process

Input(s)

$S_{o}$: Saturation of Oil (fraction)

$\emptyset$: Porosity (fraction)

$\mathrm{n}$: exponent

$\rho$: Density of Oil $\left(\mathrm{lb} / \mathrm{ft}^{3}\right)$

$A_{c}$: Pre-exponential Constant $(1 / \mathrm{F} \mathrm{psi})$

$P_{O 2}$: Partial Pressure of Oxygen (psi)

$M_{r}$: Volumetric Heat Capacity of Reservoir (BTU/F $\mathrm{ft}^{3}$ )

E: Activation Eergy (BTU/lbm mol)

R: Gas Constant (BTU/lbm mol F)

$T_{a b}$: Absolute Temperature (K)

Output(s)

$\frac{d T}{d t}$: Temperature Increase with Time $(\mathrm{K} / \mathrm{s})$

Formula(s)

Reference(s)

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