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titleSolution



LaTeX Math Block
anchorp
alignmentleft
p(r) = p_i + \frac{q_t}{4 \pi \sigma} \, \ln \frac{r_e}{r_w}



LaTeX Math Block
anchorpwf
alignmentleft
p_{wf} = p_i + \frac{q_t}{4 \pi \sigma} \, \bigg[ - 2S + \ln \frac{r_e}{r_w} \bigg]

where

LaTeX Math Inline
bodyF(\xi)
a single-argument function describing the peculiarities of the diffusion model (well geometry, penetration geometry, formation inhomogeneities, hydraulic fractures, boundary conditions, etc.)




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titleDerivation



Applications

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