Minimum Miscibility Pressure (MMP)
Also see the optimization example given at
Generalized Automatic Global Predictive Optimization.
The optimal producing bhp for gas flooding in the optimal producing strategy
for SPE5 (3755.3 psia) is just below the first-contact miscible pressure
(3874.8), and demonstrates that the given lab MMP (3000) is meaningless in
the reservoir, and that "miscible flood" models assuming a fixed
miscibility pressure do not apply in general. That example also
demonstrates the non-existence of any competent AI/ML method in engineering
for design, optimization, or forecasting.
Laboratory slimtube tests have conventionally been
used to determine the minimum pressure required for some solvent (gas) to
attain multiple-contact miscibility (MCM) with some oil (called the minimum
miscibility pressure, or MMP). Compositional simulators determine
miscibility as a function of composition, pressure, and temperature
from thermodynamic equilibrium flash and saturation pressure calculations and do not use the slimtube test
MMP at all, except possibly for (mis)guidance regarding the setting of production
and injection pressure constraints in the reservoir model at or above the MMP so that miscible recovery is (expected to be) achieved. The
problem is that in most "miscible flood" simulators, MMP is an input
variable and miscibility is assumed in all blocks with pressures greater
than or equal to MMP. MCM may not be achieved in the reservoir as a
simple function of lab MMP because of extreme mixing due to multiphase 3D flow,
gravity (sweep), capillary pressure, and heterogeneity. So, fully
compositional models are generally required in order to robustly simulate
miscible or near-miscible or partially miscible recovery (or whenever
hydrocarbons are injected), except that our 2 component FCM option applies
to the first-contact miscible case (when the reservoir is operated above the
FCM pressure in the single-phase hydrocarbon region). MMP as measured in the lab has
absolutely no significance with respect to the achievement of miscibility in
real reservoirs. Any model that assumes otherwise is simply wrong.
The SPE5 problem1 is a good example.
Scenario 2 is a primary wag flood. Sensor data and output files are
spe5b.dat and
spe5b.out. The first-contact miscibility pressure is 3874.8 psia,
which is the maximum saturation pressure on the solvent/oil phase diagram
that is printed in spe5b.out. The given slimtube test indicates an MMP
of about 3000 psia. The wag flood is operated with an injection BHP of
4500 psia and a producing BHP of 3000 psia. The pressure map printed at end of run in spe5b.out
shows that the entire reservoir is well above MMP, probably leading the
author of SPE16000 to his conclusion that "The discussion of the previous
section indicates that for scenario two, in which minimum miscibility
conditions were exceeded during the entire simulation for most grid blocks,
four-component results with complete mixing gave excellent agreement with
compositional results."
P TIME = 6186.1 DAYS DATE: 0
0 0 MAP WINDOW 1
-------------------------------------------------------------------
K = 1
------
J I= 1 2 3 4 5 6 7
1 4108.7# 4049.8 3995.0 3937.4 3866.7 3824.8 3801.4
2 4049.8 4019.2 3974.7 3903.4 3848.3 3809.5 3785.3
3 3995.0 3974.7 3916.9 3862.7 3818.8 3781.6 3758.4
4 3937.4 3903.4 3862.7 3822.0 3781.0 3740.9 3714.6
5 3866.7 3848.3 3818.8 3781.0 3736.4 3690.8 3660.3
6 3824.8 3809.5 3781.6 3740.9 3690.8 3640.5 3610.0
7 3801.4 3785.3 3758.4 3714.6 3660.3 3610.0 3522.9
K = 2
------
J I= 1 2 3 4 5 6 7
1 4111.3 4052.8 3998.5 3946.2 3875.7 3833.5 3805.9
2 4052.8 4022.3 3983.6 3912.8 3857.6 3818.5 3790.1
3 3998.5 3983.6 3926.4 3872.2 3828.2 3790.7 3762.2
4 3946.2 3912.8 3872.2 3831.5 3790.3 3750.0 3718.3
5 3875.7 3857.6 3828.2 3790.3 3745.8 3699.5 3662.8
6 3833.5 3818.5 3790.7 3750.0 3699.5 3647.2 3611.3
7 3805.9 3790.1 3762.2 3718.3 3662.8 3611.3 3524.0
K = 3
------
J I= 1 2 3 4 5 6 7
1 4114.9 4066.1 4014.4 3964.3 3893.5 3850.8 3822.6
2 4066.1 4038.2 4000.8 3930.5 3875.2 3835.8 3806.7
3 4014.4 4000.8 3944.0 3890.0 3845.5 3807.8 3778.2
4 3964.3 3930.5 3890.0 3848.9 3807.5 3767.3 3734.0
5 3893.5 3875.2 3845.5 3807.5 3763.0 3716.8 3677.4
6 3850.8 3835.8 3807.8 3767.3 3716.8 3663.6 3621.7
7 3822.6 3806.7 3778.2 3734.0 3677.4 3621.7 3519.4*
However, the oil saturation map shows that miscible
recovery occurred mostly only in the top layer and near the injector in
layers 2 and 3, with residual oil saturations of about .3 (Sorw from
water/oil relperm table) remaining in most
of the rest of the reservoir. This is due to gravity override
of the solvent and the fact that the top layer is the high-perm layer (layer
areal perms are 500, 50, 200, respectively):
SO TIME = 6186.1 DAYS
DATE: 0 0 0 MAP WINDOW 1
-------------------------------------------------------------------
K = 1
------
J I= 1 2 3 4 5 6 7
1 0.0000# 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
2 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.5553
3 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
4 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
5 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
6 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
7 0.0000 0.5553 0.0000 0.0000 0.0000 0.0000 0.2309
K = 2
------
J I= 1 2 3 4 5 6 7
1 0.0000 0.0000 0.0000 0.3099 0.3024 0.2976 0.4025
2 0.0000 0.0000 0.3021 0.3013 0.2990 0.2974 0.4142
3 0.0000 0.3021 0.3005 0.2987 0.2964 0.2975 0.4385
4 0.3099 0.3013 0.2987 0.2985 0.2960 0.2981 0.4499
5 0.3024 0.2990 0.2964 0.2960 0.2990 0.3014 0.4507
6 0.2976 0.2974 0.2975 0.2981 0.3014 0.2777 0.3182
7 0.4025 0.4142 0.4385 0.4499 0.4507 0.3182 0.2632
K = 3
------
J I= 1 2 3 4 5 6 7
1 0.0000 0.0000 0.0000 0.3026 0.3033 0.2995 0.3064
2 0.0000 0.0000 0.3002 0.3021 0.3001 0.2983 0.3083
3 0.0000 0.3002 0.3011 0.3001 0.2986 0.2980 0.3109
4 0.3026 0.3021 0.3001 0.2987 0.2977 0.2981 0.3107
5 0.3033 0.3001 0.2986 0.2977 0.2975 0.2985 0.3162
6 0.2995 0.2983 0.2980 0.2981 0.2985 0.3025 0.3486
7 0.3064 0.3083 0.3109 0.3107 0.3162 0.3486 0.2481*
We believe that it is impossible for any model
assuming miscible conditions based on MMP alone to reproduce similar values of
final oil saturations indicating where miscible and immiscible recovery
(to waterflood) has been
achieved.
1. Killough, J. E., "Fifth
Comparative Solution Project: Evaluation of Miscible Flood Simulators", SPE
16000 presented at the Ninth SPE Symposium on Reservoir Simulation held in
San Antonio, Texas, February 1-4, 1987
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