A proxy model of Productivity Index for stabilised reservoir flow in homogeneous reservoir:
J = \frac{q}{p_{\rm frm} - p_{wf}} = \frac{2 \pi \sigma}{ \ln \frac{r_e}{r_w} + \epsilon + S} |
where
a model parameter depending on Productivity Index definitions and boundary type (, see table below) |
Drain-area Productivity Index | Drain-boundary Productivity Index | |||
---|---|---|---|---|
Steady State flow regime (SS) |
|
| ||
Pseudo-steady State flow regime (PSS) |
|
|
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
for Steady State (SS) well flow regime | |
for Pseudo Steady State (PSS) well flow regime |
Petroleum Industry / Upstream / Subsurface E&P Disciplines / Well Testing / Pressure Testing
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.