PO.IPR.HW.PSS.PI.ByBabuOdeh.SI
Description
Calculates pseudosteady state productivity index for horizontal well using Babu-Odeh method for a box-shaped, anisotropic reservoir, with a well placed parallel to X(box length)-direction, [m3/(d.kPa)] (SI units).
Formula
=LAMBDA(size_x, size_y, size_z, Kx, Ky, Kz, L, Rw, Bl, Ul, S, par_x1, par_y0, par_z0, LET(
size_x_ft, PO.UnitConverter(size_x, "m", "ft"),
size_y_ft, PO.UnitConverter(size_y, "m", "ft"),
size_z_ft, PO.UnitConverter(size_z, "m", "ft"),
L_ft, PO.UnitConverter(L, "m", "ft"),
Rw_ft, PO.UnitConverter(Rw, "m", "ft"),
x1_ft, PO.UnitConverter(par_x1, "m", "ft"),
y0_ft, PO.UnitConverter(par_y0, "m", "ft"),
z0_ft, PO.UnitConverter(par_z0, "m", "ft"),
result_STBdpsi, PO.IPR.HW.PSS.PI.ByBabuOdeh(size_x_ft, size_y_ft, size_z_ft, Kx, Ky, Kz, L_ft, Rw_ft, Bl, Ul, S, x1_ft, y0_ft, z0_ft),
result_STBdpsi * PO.UnitConverter(1, "bbl/d", "m3/d") / PO.UnitConverter(1, "psi", "kPa")))Parameters
| Parameter | Unit | Description |
|---|---|---|
size_x |
m | Length size of the reservoir drainage box. X-direction, parallel to the well, [m] |
size_y |
m | Width size of the reservoir drainage box. Y-direction, perpendicular to the well, [m] |
size_z |
m | Reservoir thickness. Z-direction, [m] |
Kx |
- | Horizontal permeability in X-direction, [mD] |
Ky |
- | Horizontal permeability in Y-direction, [mD] |
Kz |
- | Vertical permeability, [mD] |
L |
m | Length of the horizontal part of the well, [m] |
Rw |
m | Wellbore radius, [m] |
Bl |
- | Liquid formation volume factor, [m3/sm3] |
Ul |
- | Liquid viscosity, [cP] |
S |
- | Skin factor, [dimensionless] |
x1 |
m | X location of the heel of the well. For the centrally placed well is equal to 0.5*(boxLength-wellLength), [m] |
y0 |
m | Y location of the heel of the well. For the centrally placed well is equal to 0.5*boxWidth, [m] |
z0 |
m | Z location of the heel of the well. For the centrally placed well is equal to 0.5*reservoirHeight, [m] |
Examples
| Invocation | Expected |
|---|---|
=PO.IPR.HW.PSS.PI.ByBabuOdeh.SI(609.6, 304.8, 30.48, 50, 50, 5, 304.8, 0.0762, 1.2, 2, 0, 152.4, 152.4, 15.24) |
0.14106877 |