\frac{d Q_{WAQ}}{dt} = \frac{4 \pi \sigma}{ \ln \frac{1.781 \cdot A_e^2}{ 4 \pi \chi t} } \cdot ( p_i - p(t)) |
where
Q_{WAQ}(t) | |
p_i | initial formation pressure |
p(t) | field-average formation pressure at time moment t |
\sigma | aquifer transmissibility |
\chi | aquifer diffusivity |
This model is based on assumption of:
- Infinite Acting Radial Flow Aquifer
- Slow variation of water influx Q_{WAQ}(t) in time
See Also
Petroleum Industry / Upstream / Subsurface E&P Disciplines / Field Study & Modelling / Aquifer Drive / Aquifer Drive @model
Reference
1. Fetkovich, M.J. 1971. A Simplified Approach to Water Influx Calculations—Finite Aquifer Systems. J Pet Technol 23 (7): 814–28. SPE-2603-PA. http://dx.doi.org/10.2118/2603-PA