PO.VFP.Ansari.dPdL.SI
Description
Calculates pressure gradient using Ansari et al. (1994) mechanistic model, [kPa/m]. TUFFP industry standard for vertical upward flow (SI units).
Formula
=LAMBDA(Ql, Qg, P, Rho_l, Ul, Bl, Rho_g, Ug, Bg, IFT_gl, Rs, pipe_ID, pipe_roughness, LET(
Ql_bbld, PO.UnitConverter(Ql, "m3/d", "bbl/d"),
Qg_mmscfd, PO.UnitConverter(Qg, "sm3/d", "mmscf/d"),
P_psi, PO.UnitConverter(P, "kPa", "psi"),
Rho_l_lbft3, PO.UnitConverter(Rho_l, "kg/m3", "lb/ft3"),
Rho_g_lbft3, PO.UnitConverter(Rho_g, "kg/m3", "lb/ft3"),
IFT_gl_dynecm, PO.UnitConverter(IFT_gl, "mN/m", "dyne/cm"),
Rs_scfSTB, PO.UnitConverter(Rs, "sm3/sm3", "scf/STB"),
pipe_ID_in, PO.UnitConverter(pipe_ID, "cm", "in"),
result_psift, PO.VFP.Ansari.dPdL(Ql_bbld, Qg_mmscfd, P_psi, Rho_l_lbft3, Ul, Bl, Rho_g_lbft3, Ug, Bg, IFT_gl_dynecm, Rs_scfSTB, pipe_ID_in, pipe_roughness),
PO.UnitConverter(result_psift, "psi/ft", "kPa/m")))Parameters
| Parameter | Unit | Description |
|---|---|---|
Ql |
m3/d | Liquid rate, [m3/d] |
Qg |
sm3/d | Gas rate, [sm3/d] |
P |
kPa | Pressure, [kPa] |
Rho_l |
kg/m3 | Liquid density at in-situ conditions, [kg/m3] |
Ul |
- | Liquid viscosity at in-situ conditions, [cP] |
Bl |
- | Liquid formation volume factor, [m3/sm3] |
Rho_g |
kg/m3 | Gas density at in-situ conditions, [kg/m3] |
Ug |
- | Gas viscosity at in-situ conditions, [cP] |
Bg |
- | Gas formation volume factor, [rm3/sm3] |
IFT_gl |
mN/m | Liquid-gas interfacial (surface) tension, [mN/m] |
Rs |
sm3/sm3 | Solution gas-oil ratio, [sm3/sm3] |
pipe_ID |
cm | Pipe inner diameter, [cm] |
pipe_roughness |
- | Pipe relative roughness, [dimensionless] |
Examples
| Invocation | Expected |
|---|---|
=PO.VFP.Ansari.dPdL.SI(159, 28317, 17237, 800, 2, 1.2, 48, 0.015, 0.005, 20, 88.9, 6.35, 0.0006) |
6.505716 |