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Motivation

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Reservoir pressure dynamics away from wellbore and boundaries is representative of two very important complex reservoir properties: transmissibility 

LaTeX Math Inline
body\sigma
and pressure diffusivity 
LaTeX Math Inline
body\chi
.

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Late-time response


LaTeX Math Block
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p(t,r) = p_i - \frac{q_t}{4 \pi \sigma} \left[  
\gamma + \ln \left(\frac{r^2}{4 \chi t} \right) \right] 

= p_i - \frac{q_t}{4 \pi \sigma} \ln \left(\frac{2.24585 \, t}{r^2} \right)

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Plots

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Image Added

Fig. 1. PTA Diagnostic Plot for LSS flow regime



See also

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Physics / Fluid Dynamics / Radial fluid flow / Line Source Solution

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