A proxy model of Productivity Index for stabilised reservoir flow in homogeneous reservoir:
J = \frac{q}{p_{frm} - p_{wf}} = \frac{2 \pi \sigma}{ \ln \frac{r_e}{r_w} + \epsilon + S} |
where
| Drain-area Productivity Index | Drain-boundary Productivity Index |
---|
|
J_r = \frac{q}{p_r - p_{wf}} |
|
J_e = \frac{q}{p_e - p_{wf}} |
|
SS |
J_r = \frac{2 \pi \sigma}{ \ln \frac{r_e}{r_w} + 0.5 + S} |
|
J_e = \frac{2 \pi \sigma}{ \ln \frac{r_e}{r_w} + S} |
|
PSS |
J_r = \frac{2 \pi \sigma}{ \ln \frac{r_e}{r_w} + 0.75 + S} |
|
J_e = \frac{2 \pi \sigma}{ \ln \frac{r_e}{r_w} + 0.5 + S} |
|
The relation between the total sandface flowrate , bottomhole pressure and field-average formation pressure during the stabilized reservoir flow:
corresponding to linear IPR with constant productivity index :
J_r = \frac{2 \pi \sigma}{ \ln \frac{r_e}{r_w} + \epsilon+ S} |
where
See also
Petroleum Industry / Upstream / Subsurface E&P Disciplines / Well Testing / Pressure Testing
Reference
Dupuit, J., Etudes theoriques et pratiques sur le mouvement des eaux dans les canaux decouverts et a travers les terrains permeables, 2eme edition; Dunot, Paris, 1863.