Characteristic curves of a double-porosity model with and without influx recharge

Analytical solution of a fluid flow model in naturally fractured porous media with inner and outer boundaries having constant and time-dependent conditions. The reservoir has a producing well, with either constant terminal pressure or constant terminal rate, while the outer boundary has either an influx recharge or constant pressure. The drawdown pressure curves are used to elucidate the statement that the pressure drop of a single-porosity reservoir with influx recharge resembles the flow behavior in a double-porosity closed reservoir.