Growth of steam-heated area - Marx-Langenheim

Input(s)

$Q_{i}$: Injected Heat Content (BTU)

$t_{d}$: Dimensionless Time (dimensionless)

$e_{t}$: Error Function of square root of dimensionless function (dimensionless)

$\mathrm{T}$: Temperature Differential $(\mathrm{K})$

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

$\mathrm{h}$: Height (ft)

Output(s)

A: Growth of Steam Zone (ac/d)

Formula(s)

$$ \mathrm{A}=\frac{\mathrm{Q}_{\mathrm{i}} * \exp \left(\mathrm{t}_{\mathrm{d}}\right) * \mathrm{e}_{\mathrm{t}}}{43560 * \mathrm{~T} * \mathrm{M}_{\mathrm{r}} * \mathrm{~h}} $$

Reference(s)

Michael Prats. Thermal recovery. Society of Petroleum Engineers. New York. 1986, Page: 61.