Basic HTML Version
OH – ST - ET: Analysis of Dynamic Data in Shale Gas Reservoirs – Part 2
p 6/18
3.1 - Matching with the analytical model
From the square root plot, we have defined k.N².Xf². Assuming a value of k and N we got a
value for Xf. We can now use these values to make a first run of the analytical model. The
“match” is shown below.
History match using the analytical model with the straight line result.
After refining, we obtained the following match using the parameters shown below. We can see
on the loglog plot that the derivative of the model follows a slight deviation from the half slope
at late time, indicative of the start of some interference between the fractures.
History match with the analytical model after nonlinear regression
0
10000
20000
Gas rate [Mscf/D]
0
5E+8
1E+9
1.5E+9
Gas volume [scf]
qg
Qg
qg model
Qg model
0
1000
2000
3000
4000
5000
6000
Time [hr]
4000
9000
Pressure [psia]
Pi
p
Production history plot (Gas rate [Mscf/D], Pressur [psia] vs Time [hr])
0
10000
20000
Gas rate [Mscf/D]
0
5E+8
1E+9
1.5E+9
Gas volume [scf]
qg
Qg
qg model
Qg model
0
1000
2000
3000
4000
5000
6000
Time [hr]
4000
9000
Pressure [psia]
Pi
p
Production history plot (Gas ra e [Mscf/D], Pressure [psia] vs Tim [hr])