Page 16 - Transmissibility Corrections and Grid Control for Shale Gas Numerical Simulation

VA - DF: Transmissibility Corrections and Grid Control for Shale Gas Numerical Simulation p 15/23
Figure 15 – Cumulative production with and without transmissibility corrections
versus reference solution (thick red line).
Figure 16 – Cumulative production error (relative to final reference cumulative)
with and without transmissibility corrections versus time.
Case d) 3D Limited height multi-fracture constant pressure production
We finally consider a complex 3D problem with a limited height multi-fractures case (Table 4).
Figure 17 displays the truncated numerical grid in this case where the colors correspond to the
magnitude of the calculated potential.
Figures 18 and 29 display the production rate and cumulative production as well as the
cumulative relative production error with and without transmissibility corrections in this case.
As for the previous examples, the new corrections lead to a clear improvement while the
standard solution shows an error on the cumulative production which is increasing with time.
2
6
Liquid rate [STB/D] 8000
18000
Liquid volume [STB]
Reference
New Solution
Standard Solution
0 40000 80000 1.2E+5 1.6E+5 2E+5 2.4E+5
Time [hr]
600
1100
Pressure [psia]