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Although we use steady well rates in our present analysis, well rates can be time-dependent and prescribed by any decline function to study transient flow.
Open image in new window Fig. 22 Oil-withdrawal patterns in faulted reservoir developed with 2-ring 7-spot well pattern; well rates are mathematically balanced (see caption of Fig. 20 for well rates).
Figure 3a c provides a time-series for a spaced doublet with equal injection and producer well rates.
Balanced well rates (Fig. 11, Row IV) are most suitable for serial well pattern roll-out (see Appendix).
They used streamlines to analytically compute the sensitivity of the arrival times with respect to well rates.
The actual well rates required to maintain balanced flooding are detailed in the caption of Fig. 21 (for comparison with Fig. 20).
The stagnation point moves away from the injector well when the ratio of the absolute rates for injector and producer well rates becomes larger.
The analytical simulator has no implicit space constraints and can model cases of both balanced and unbalanced well rates, which we exploit in the present study.
A comparison takes place between the calculated values of well rates and compartment pressure generated by the model with observed production and available shut-in pressure data.
Steady-state well rates are used in what follows to be able to focus on the effects of variations in volume balance of the waterflood program.
We model doublet flow with one injector and one producer for a range of distances and relative well rates (underbalanced, balanced and overbalanced wells-pairs).
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