VA - DF: Transmissibility Corrections and Grid Control for Shale Gas Numerical Simulation
p 14/23
Figure 14 – Cumulative production error (relative to reference cumulative)
with and without transmissibility corrections versus time.
Case c) 3D Limited height single fracture constant pressure production
We now consider a 3D problem with a single limited height fracture (Table 3). Figures 15 and
16 display the production rate and cumulative production as well as the cumulative relative
production error with and without transmissibility corrections. As for the 2D problems, the new
corrections lead to a clear improvement in this case.
Reservoir data
Initial Reservoir Pressure, psia 5000
Net pay, ft
100
Porosity, %
10
Permeability, mD
1E-3
Well data
Number of Fractures
1
Fractures half-length Xf, ft
400
Fractures position
centered
Fractures penetration, ft
40
Fractures top depth, ft
20
Fractures conductivity Fc, md.ft infinite
Production duration, years
27
Table 3 – Reservoir and well properties