Page tree

Versions Compared

Key

  • This line was added.
  • This line was removed.
  • Formatting was changed.

...

Half of the total length of the hydraulically induced vertical plane fracture.

For the fractured vertical well the geometrical skin-factor 

LaTeX Math Inline
bodyS_G
is related to Fracture half-length 
LaTeX Math Inline
bodyX_f
as:

LaTeX Math Block
anchorXf
alignmentleft
S_G= -\ln \left(\frac{X_f}{r_w} \right) + \frac{1.65 -0.328 \, u + 0.116 \, u^2}{1+0.18 \, u + 0.064 \, u^2 +0.05 \, u^3}

where

LaTeX Math Inline
body--uriencoded--u = \ln F_%7BCD%7D


LaTeX Math Inline
body--uriencoded--F_%7BCD%7D

dimensionless hydraulic fracture conductivity


In case of high dimensionless hydraulic fracture conductivity (corresponding to infinite conductivity fracture case) the skin-factor model can be simplifiedIn simple case:

LaTeX Math Block
anchorXfsimple
alignmentleft
S_G = -\ln \left(\frac{X_f}{2\, r_w} \right)

...