PO.IPR.HW.SS.PI.ByRenardDupuy


Description

Calculates steady state productivity index for horizontal well using Renard-Dupuy method (anisotropic reservoir), [STB/(d.psi)].

Syntax

=PO.IPR.HW.SS.PI.ByRenardDupuy(L, Rw, Re, h, Kz, Kxy, Bl, Ul)

Parameters

Parameter Description
L Length of the horizontal part of the well, [ft].
Rw Wellbore radius, [ft].
Re Drainage radius of the horizontal well, [ft].
h Reservoir thickness, [ft].
Kz Vertical permeability, [mD].
Kxy Horizontal permeability, [mD].
Bl Liquid formation volume factor, [bbl/STB].
Ul Liquid viscosity, [cP].

SI Unit Version

Lambda Name PO.IPR.HW.SS.PI.ByRenardDupuy.SI
Formula
=LAMBDA(L, Rw, Re, h, Kz, Kxy, Bl, Ul, LET( L_ft, PO.UnitConverter(L, "m", "ft"), Rw_ft, PO.UnitConverter(Rw, "m", "ft"), Re_ft, PO.UnitConverter(Re, "m", "ft"), h_ft, PO.UnitConverter(h, "m", "ft"), result_STBdpsi, PO.IPR.HW.SS.PI.ByRenardDupuy(L_ft, Rw_ft, Re_ft, h_ft, Kz, Kxy, Bl, Ul), result_STBdpsi * PO.UnitConverter(1, "bbl/d", "m3/d") / PO.UnitConverter(1, "psi", "kPa")))
SI Parameters
Parameter Unit Description
L m Length of the horizontal part of the well, [m]
Rw m Wellbore radius, [m]
Re m Drainage radius of the horizontal well, [m]
h m Reservoir thickness, [m]
Kz - Vertical permeability, [mD]
Kxy - Horizontal permeability, [mD]
Bl - Liquid formation volume factor, [m3/sm3]
Ul - Liquid viscosity, [cP]
How to save as a reusable Excel function

LAMBDA is a built-in Excel feature (Microsoft 365) that lets you create custom functions without VBA. The formula above works as-is when pasted into a cell.

To save a LAMBDA as a reusable named function:

  1. Go to Formulas → Name Manager → New
  2. Enter a name, e.g. PO.IPR.HW.SS.PI.ByRenardDupuy.SI
  3. In Refers to, paste the LAMBDA formula without the trailing invocation (...)
  4. Click OK

Now use =PO.IPR.HW.SS.PI.ByRenardDupuy.SI(...) anywhere in your workbook.

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