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InputsOutputs

LaTeX Math Inline
bodyq_t

total sandface rate

LaTeX Math Inline
bodyp(r)

reservoir pressure

LaTeX Math Inline
body{p_i}

initial formation pressure

LaTeX Math Inline
bodyp_{wf}

well bottomhole pressure

LaTeX Math Inline
body\sigma

transmissibility,

LaTeX Math Inline
body\sigma = \frac{k \, h}{\mu}



LaTeX Math Inline
bodyS

skin-factor

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titleDefinition



LaTeX Math Block
anchor52112
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\frac{\partial p}{\partial t}  =  0 \chiLeftrightarrow \, \left( \frac{\partial^2 p}{\partial r^2} + \frac{1}{r} \frac{\partial p}{\partial r} \right)
LaTeX Math Block
anchor88AEG
alignmentleft
p(t = 0, {\bf r}) = p_i



LaTeX Math Block
anchor3MUX9
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p(t, r \rightarrow \infty ) = p_i



LaTeX Math Block
anchorEM415
alignmentleft
\left[ r\frac{\partial p(t, r )}{\partial r} \right]_{r \rightarrow r_w} = \frac{q_t}{2 \pi \sigma}



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