Motivation




Inputs & Outputs



InputsOutputs

Cumulative subsurface water influx from aquifer

initial formation pressure

Subsurface water flowrate from aquifer

aquifer Productivity Index


Physical Model



Radial Composite Reservoir

Steady-state flow


Aquifer pressure is constant

Aquifer Productivity Index is constant





Fig. 1. Schilthuis aquifer drive schematic

Mathematical Model


Q^{\downarrow}_{AQ}(t) = J_{AQ} \cdot \left[ p_i \cdot t  - \int_0^t p(t) dt \right]
q^{\downarrow}_{AQ}(t) = J_{AQ} \cdot (p_i - p(t))


It maybe considered as partial case of Fetkovich Aquifer Drive @model with infinite Aquifer volume. 


See Also


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

Reference


 1.  Schilthuis, R.J. 1936. Active Oil and Reservoir Energy. Trans., AIME 118: 33. https://doi.org/10.2118/936033-G