PO.FRAC.PKN.Width.NoLoss


Description

Perkins-Kern-Nordgren (PKN) fracture width without fluid loss, [inches].

Syntax

=PO.FRAC.PKN.Width.NoLoss(Q, Ul, h, G, nu, t)

Parameters

Parameter Description
Q Injection rate (one wing), [bbl/min].
Ul Fluid viscosity, [cp].
h Fracture height, [ft].
G Shear modulus, [psi].
nu Poisson's ratio, [dimensionless].
t Pumping time, [min].

SI Unit Version

Lambda Name PO.FRAC.PKN.Width.NoLoss.SI
Formula
=LAMBDA(Q, Ul, h, G, nu, t, LET( Q_bblmin, PO.UnitConverter(Q, "m3/min", "bbl/min"), h_ft, PO.UnitConverter(h, "m", "ft"), G_psi, PO.UnitConverter(G, "kPa", "psi"), result_in, PO.FRAC.PKN.Width.NoLoss(Q_bblmin, Ul, h_ft, G_psi, nu, t), PO.UnitConverter(result_in, "in", "cm")))
SI Parameters
Parameter Unit Description
Q m3/min Injection rate (one wing), [m3/min]
Ul - Fluid viscosity, [cP]
h m Fracture height, [m]
G kPa Shear modulus, [kPa]
nu - Poisson's ratio, [dimensionless]
t - Pumping time, [min]
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.FRAC.PKN.Width.NoLoss.SI
  3. In Refers to, paste the LAMBDA formula without the trailing invocation (...)
  4. Click OK

Now use =PO.FRAC.PKN.Width.NoLoss.SI(...) anywhere in your workbook.

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