Table 1: The parameters used in the two case examples.

Info Symbol Case N>>1 Case N<<1 Units
Well radius rw 0.15 0.15 m
Max radius rmax 50 50 m
Production rate Q 0 1.10-5 1.10-4 m/s
Reservoir thickness h 10 10 m
Well pressure pw 5.106 1.106 Pa
Initial permeability k0 2.10-16 1.10-15 m2
Initial porosity ϕ0 0.25 0.25 -
Permeability exponent n 3 3 -
Compressibility α 1.10-8 1.10-8 1/Pa
Viscosity µ 1.10-3 1.10-3 Pa
Molar volume Vs 0.0369188 0.0369188 liter/mole
Kinetics exponent m 1 1 -
Reaction constant kp 1.10-7 1.10-8 mole/m2/s
Specific surface area S 1.104 1.103 m2/m3