# Equivalent volume of steam injected - Myhill and Stegemeier

## Input(s)

$$C_{w}$$: Specific Heat of Water Steam (BTU/lb K)

$$T_{s b}$$: Steam Temperature at Boiler Outlet (K)

$$T_{a}$$: Ambient Temperature (K)

$$f_{s b}$$: Steam Quality (fraction)

$$L_{v b}$$: Latent Heat of Vaporization (BTU/lb)

$$T_{i}$$: Downhole Steam Injection Temperature (K)

$$T_{o}$$: Input Temperature (K)

$$f_{v d h}$$: Quality of Steam Downhole (fraction)

$$L_{v d h}$$: Latent Heat of Vaporization Downhole (BTU/lb)

## Output(s)

$$W_{s, e q}$$: Equivalent Volume of Steam (bbl)

## Formula(s)

$\mathrm{W}_{\mathrm{s}, \mathrm{eq}}=2.853 *\left(10^{-6}\right) *\left(\frac{\mathrm{C}_{\mathrm{w}} *\left(\mathrm{~T}_{\mathrm{sb}}-\mathrm{T}_{\mathrm{a}}\right)+\mathrm{f}_{\mathrm{sb}} * \mathrm{~L}_{\mathrm{vb}}}{\mathrm{C}_{\mathrm{w}} *\left(\mathrm{~T}_{\mathrm{i}}-\mathrm{T}_{\mathrm{o}}\right)+\mathrm{f}_{\mathrm{vdh}} * \mathrm{~L}_{\mathrm{vdh}}}\right)$

## Reference(s)

Prats, M. 1986. Thermal Recovery. Society of Petroleum Engineers, New York, Chapter: 7, Page: 78.

## Related

### Cumulative heat injected for steam drive - Myhill and Stegemeier

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