Outlet pressure for multiphase pipe flow by Gray correlation, [psia] It is commonly used for gas wells that are also producing liquid.

Excel Function Syntax

OutletPressureGray(Ql, Rho_l, Ul, Qg, SGgas, IFTgl, pipeID, pipeLength, pipeRoughness, pipeAngle, P_in, T)

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Parameter Value Description
Ql Liquid rate, [bbl/d]
Rho_l Liquid density, [lb/ft3]
Ul Liquid viscosity, [cP]
Qg Gas rate, [mmscf/d]
SGgas Gas specific gravity (air=1.0)
IFTgl Liquid-gas interfacial (surface) tension, [dynes/cm]
pipeID Pipe inner diameter, [in]
pipeLength Pipe length, [ft]
pipeRoughness Pipe relative roughness, [dimensionless]
pipeAngle Pipe angle from horizontal, [degrees] Horizontal flow: angle = 0; Vertical well producer: angle = 90; Vertical well injector: angle = -90;
P_in Inlet pipe pressure, [psia]
T Temperature at middle point of the pipe, [degF]