PO.PTA.Pw.VW.LinConP


Description

Calculates wellbore pressure drop for vertical well in infinite homogeneous reservoir with linear constant pressure boundary, [psi].

Syntax

=PO.PTA.Pw.VW.LinConP(time, prod_data, B, Ul, C, Rw, S, Ct, porosity, h, K, L)

Parameters

Parameter Description
time Elapsed time, [h].
prod_data Flow rate at surface, [bbl/D] or array of time [h] / flow rate [bbl/D] of production data.
B Formation volume factor, [bbl/STB].
Ul Viscosity, [cP].
C Wellbore storage coefficient, [bbl/psi].
Rw Wellbore radius, [ft].
S Skin factor, [dimensionless].
Ct Total compressibility, [1/psi].
porosity Porosity, [fraction].
h Net pay thickness, [ft].
K Permeability, [mD].
L Distance to boundary, [ft].

SI Unit Version

Lambda Name PO.PTA.Pw.VW.LinConP.SI
Formula
=LAMBDA(time, prod_data, B, Ul, C, Rw, S, Ct, porosity, h, K, L, LET( prod_data_f, PO.UnitConverter(prod_data, "m3/d", "bbl/d"), C_f, PO.UnitConverter(C, "m3/kPa", "bbl/psi"), Rw_f, PO.UnitConverter(Rw, "m", "ft"), Ct_f, PO.UnitConverter(Ct, "1/kPa", "1/psi"), h_f, PO.UnitConverter(h, "m", "ft"), L_f, PO.UnitConverter(L, "m", "ft"), result, PO.PTA.Pw.VW.LinConP(time, prod_data_f, B, Ul, C_f, Rw_f, S, Ct_f, porosity, h_f, K, L_f), PO.UnitConverter(result, "psi", "kPa")))
SI Parameters
Parameter Unit Description
time - Elapsed time, [h]
prod_data m3/d Flow rate at surface, [m3/d] (scalar). For array production data, convert rates to bbl/d externally
B - Formation volume factor, [m3/sm3]
Ul - Viscosity, [cP]
C m3/kPa Wellbore storage coefficient, [m3/kPa]
Rw m Wellbore radius, [m]
S - Skin factor, [dimensionless]
Ct 1/kPa Total compressibility, [1/kPa]
porosity - Porosity, [fraction]
h m Net pay thickness, [m]
K - Permeability, [mD]
L m Distance to boundary, [m]
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.PTA.Pw.VW.LinConP.SI
  3. In Refers to, paste the LAMBDA formula without the trailing invocation (...)
  4. Click OK

Now use =PO.PTA.Pw.VW.LinConP.SI(...) anywhere in your workbook.

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