Liquid loading

Brief

Liquid loading is a phemonenon when the gas phase does't provide sufficient transport energy to lift the liquids out of the well.

Math & Physics

The minimum gas velocity to remove the liquid equation:

$v_g = 1.593\ \sigma^{1/4}\ \frac{({\rho_L-\rho_g})^{1/4}}{\rho_g^{1/2}}$

The minimum gas rate to remove the liquid equation:

$q_g = 3.06\ \frac{P\ v_g\ A}{T\ z}$

Nomenclature

$A$ = flow area, ft^2

$P$ = flowing wellhead pressure, psia

$q_g$ = gas rate, MMscf/d

$\rho_g$ = gas density, lbm/ft3

$\rho_L$ = liquid density, lbm/ft3

$\sigma$ = surface tension, dyne/cm

$T$ = flowing temperature, °R

$v_g$ = gas velocity, ft/sec

$z$ = gas compressibility factor at flowing P & T, dimensionless

References

Turner, R. G., Hubbard, M. G., and Dukler, A. E. (1969) “Analysis and Prediction of Minimum Flow Rate for the Continuous Removal of Liquids from Gas Wells,” Journal of Petroleum Technology, Nov. 1969. pp. 1475–1482.