Growth of steam-heated area - Marx-Langenheim

Input(s)

QiQ_{i}: Injected Heat Content (BTU)

tdt_{d}: Dimensionless Time (dimensionless)

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

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

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

h\mathrm{h}: Height (ft)

Output(s)

A: Growth of Steam Zone (ac/d)

Formula(s)

A=Qiexp(td)et43560 TMr h\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.

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