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LaTeX Math Inline
bodyh_L

leak-off fracture height (usually

LaTeX Math Inline
bodyh_L = h
, where
LaTeX Math Inline
bodyh
 is net reservoir thickness)

LaTeX Math Inline
bodyX_f

fracture half-length


so that The Carter's leak-off productivity index is given by:

LaTeX Math Block
anchorYBUSB
alignmentleft
J_L =  2 \, h_f \, X_f \, \sqrt{\frac{k \, \phi \, c_t}{\pi \, \mu}} \, \sqrt{t-t_0}

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