Motivation




Inputs & Outputs



InputsOutputs

Cumulative subsurface water influx from aquifer

initial formation pressure

Subsurface water flowrate from aquifer

aquifer transmissibility





aquifer diffusivity

pay area


Physical Model



Radial Composite Reservoir



Infinite Acting Radial Flow Aquifer


J_{AQ}(t) = \frac{4 \pi \sigma}{ \ln \frac{1.781 \cdot A_e}{ 4 \pi \chi t} }

















Fig. 1. Carter-Tracy aquifer drive schematic



Mathematical Model




\frac{d Q_{AQ}}{dt} = J_{AQ}(t) \cdot ( p_i - p(t))



J_{AQ}(t) = \frac{4 \pi \sigma}{ \ln \frac{1.781 \cdot A_e^2}{ 4 \pi \chi t} }



See Also


Petroleum Industry / Upstream / Subsurface E&P Disciplines / Field Study & Modelling / Aquifer Drive / Aquifer Drive Models

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-PAhttp://dx.doi.org/10.2118/2603-PA