# Low-pressure region gas flow rate for non-circular drainage area

## Input(s)

$$\mathrm{k}$$: Permeability $$(\mathrm{mD})$$

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

$$P_{r}$$: Average Reservoir Pressure (psi)

$$P_{w r}$$: Well Flowing Pressure (psi)

$$\mu_{\text {gavg }}$$: Average Gas Viscosity (cP)

$$Z_{\text {avg }}$$: Average Gas Compressibility Factor (Dimensionless) A: Drainage Area $$\left(\mathrm{ft}^{2}\right)$$

$$C_{A}$$: Shape Factor (dimensionless)

$$r_{w}$$: Wellbore Radius (ft)

S: Skin (dimensionless)

T: Temperature $$(\mathrm{R})$$

## Output(s)

$$Q_{g}$$: Gas Flow Rate $$(\mathrm{MSCF} /$$ day $$)$$

## Formula(s)

$Q_{g}=\frac{k * h *\left(\left(P_{r}^{2}\right)-\left(\left(P_{w f}\right)^{2}\right)\right)}{1422 * \mu_{\text {gavg }} * T * Z_{\text {avg }} *\left(0.5 * \ln \left(\frac{4 * A}{1.781 * C_{A} *\left(r_{w}^{2}\right)}\right)+S\right)}$

## Reference(s)

Ahmed, T., McKinney, P.D. 2005. Advanced Reservoir Engineering, Gulf Publishing of Elsevier, Chapter: 3, Page: 189.

## Related

### High-pressure region gas flow rate

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