These relations were developed from data for surface tubing pressures mostly greater than 1000 psi. For lower surface tubing pressures, Coleman et al. has developed similar relationships for the minimum critical flow rate for both water and liquid. In essence the Coleman et al. formulas (to fit their new lower wellhead pressure data, typically less than 1000 psi) are identical to Turner’s equations.
With the same data defaults given above to develop Turner’s equations, the Coleman et al. equations for minimum critical velocity and flow rate would appear as:
Ecuaciones de Coleman para velocidad crítica de gas: