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titleProductivity Index Analysis


The Total Sandface Productivity Index for low-compressibility fluid and low-compressibility rocks  does not depend on formation pressure, bottomhole pressure and the flowrate and can be expressed as:

LaTeX Math Block
anchorJ
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J_t = \frac{q_t}{p_i - p_{wf}(t)} =\frac{2 \pi \sigma}{\ln \frac{r_e}{r_w} + S} = {\rm const}
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titleProductivity Index Analysis


The Field-average Productivity Index for low-compressibility fluid and low-compressibility rocks  does not depend on formation pressure, bottomhole pressure and the flowrate and can be expressed as:

LaTeX Math Block
anchorJ
alignmentleft
J_t = \frac{q_t}{p_r(t) - p_{wf}(t)} =\frac{2 \pi \sigma}{\ln \frac{r_e}{r_w} + 0.5 +S} = {\rm const}


See Also

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Physics / Mechanics / Continuum mechanics / Fluid Mechanics / Fluid Dynamics / Radial fluid flow / Pressure diffusion / Pressure Diffusion @model / Radial Flow Pressure Diffusion @model

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