PO.FRAC.PKN.Width.Leakoff
Description
Perkins-Kern-Nordgren (PKN) fracture width with Carter leakoff (large time), [inches].
Syntax
=PO.FRAC.PKN.Width.Leakoff(Q, Ul, h, G, nu, C, 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]. |
| C | Carter leakoff coefficient, [ft/sqrt(min)]. |
| t | Pumping time, [min]. |
SI Unit Version
Lambda Name
PO.FRAC.PKN.Width.Leakoff.SIFormula
=LAMBDA(Q, Ul, h, G, nu, C, 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"),
C_ft, PO.UnitConverter(C, "m", "ft"),
result_in, PO.FRAC.PKN.Width.Leakoff(Q_bblmin, Ul, h_ft, G_psi, nu, C_ft, 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] |
C |
m/sqrt(min) | Carter leakoff coefficient, [m/sqrt(min)] |
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:
- Go to Formulas → Name Manager → New
- Enter a name, e.g.
PO.FRAC.PKN.Width.Leakoff.SI - In Refers to, paste the LAMBDA formula without the trailing invocation
(...) - Click OK
Now use =PO.FRAC.PKN.Width.Leakoff.SI(...) anywhere in your workbook.