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

Excel Function Syntax

InletPressureGray(Ql, Rho_l, Ul, Qg, SGgas, IFTgl, pipeID, pipeLength, pipeRoughness, pipeAngle, P_out, T)

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QlLiquid rate, [bbl/d]
Rho_lLiquid density, [lb/ft3]
UlLiquid viscosity, [cP]
QgGas rate, [mmscf/d]
SGgasGas specific gravity (air=1.0)
IFTglLiquid-gas interfacial (surface) tension, [dynes/cm]
pipeIDPipe inner diameter, [in]
pipeLengthPipe length, [ft]
pipeRoughnessPipe relative roughness, [dimensionless]
pipeAnglePipe angle from horizontal, [degrees] Horizontal flow: angle = 0; Vertical well producer: angle = 90; Vertical well injector: angle = -90;
P_outOutlet pipe pressure, [psia]
TTemperature at middle point of the pipe, [degF]