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Half of the total length 

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bodyX_f = 0.5 \cdot L_f
of the hydraulically induced vertical plane fracture (see Fig. 1).

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Hydraulic fracture
Hydraulic fracture
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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:

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anchorXf
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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 simplified:

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


See Also


Petroleum Industry / Upstream / Well / Well-Reservoir Contact (WRC)  / Hydraulic Fracture


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On-lIne Calculator --> https://petroleumoffice.com/function/equivalentskinfactor