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Despite of terminological similarity there is a big difference in the way Dynamic Modelling, Well Flow Performance and Well Testing define formation pressure and productivity index.
This difference is summarised in the table below:
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DM | 9-cell formation pressure
(1) |
p_{e9, \ i,j} = \frac{1}{9} \sum_{k=i-1}^{i+1} \sum_{l=j-1}^{j+1} p_{k,l} |
(2) |
p_{e9, \ i,j} = \frac{1}{9} ( p_{i,j}
+ p_{i, \, j+1} + p_{i, \, j-1}
+ p_{i-1, \, j} + p_{i-1, \, j}
+ p_{i-1 \, j-1} + p_{i+1, \, j+1}
+ p_{i-1 \, j+1} + p_{i+1, \, j-1} ) |
for each fluid phase individually:
p_{e9,o}, \, p_{e9,g}, \, p_{e9,w} | | |
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WFP | Field-average formation pressure estimate within the drainage area
A_e
(3) |
p_r = \frac{1}{A_e} \iint_{A_e} p(x,y,z) dS |
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Well Testing | Boundary-average formation pressure estimate along the boundary of drainage area
A_e
(4) |
p_e = \frac{1}{L_e} \int_0^{L_e} p(x,y,z) dl |
where
L_e is the boundary of drainage area
A_e | | |
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