Dimensionless transient water flux response from aquifer to unit step change in net pay pressure:
(1) | W_{eD}(t, r_{aD}) = \int_0^{t} \frac{\partial p_1( t_D, r_D)}{\partial r_D} \Bigg|_{r_D=1} dt_D |
where
\chi_a | aquifer pressure diffusivity |
r_e | net pay area |
p_1(t_D, r_D) |
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The Dimensionless Water Influx W_{eD}(t) is a unique function of time t for each dimensionless value of r_{aD} which represents the ratio of external aquifer size r_a to net pay size r_e:
(6) | r_{aD} = \frac{r_a}{r_e} |
This function is readily tabulated for a wide range of r_{aD} variations.
There are also polynomial approximations.
See Also
Petroleum Industry / Upstream / Subsurface E&P Disciplines / Field Study & Modelling
[ Depletion ] [ Aquifer ] [ Aquifer Drive @model ]