Page 13 - Transmissibility Corrections and Grid Control for Shale Gas Numerical Simulation

VA - DF: Transmissibility Corrections and Grid Control for Shale Gas Numerical Simulation p 12/23
Figure 10 – Cumulative production with and without transmissibility corrections
versus reference solution (red).
Figure 11 – Cumulative production error (relative to reference cumulative)
with and without transmissibility corrections versus time.
Case b) 2D Multi-fracture production
Next, we consider again the example of Section 1, summarized in Table 1, with k=1E-4 mD. It
is a 20 fractures case with complete penetration in a homogeneous layer. In this case, the
potential is still 2D.
The well is set to produce at constant bottom-hole pressure for 10 years. Figures 12 and 13
display the cumulative production obtained analytically (‘reference’) and numerically, with and
without correction.
1
2
Liquid rate [STB/D]
5000
15000
25000
Liquid volume [STB]
Reference
New Solution
Standard Solution
2010 2013 2016 2019 2022 2025 2028 2031 2034 2037 2040
600
1100
Pressure [psia]