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In practice there is no way to measure the external influx
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| body | Q^{\downarrow}_{GC}(t) |
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and
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| body | Q^{\downarrow}_{AQ}(t) |
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so that one need to model them and
use calibrate model parameters to
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.fit available data on production flowrates history and formation pressure data records. There is a list of various analytical aquifer and gas cap models which are normally based on the relations:
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| Q^{\downarrow}_{GC}(t) = F_{GC}(p(t), p_{wf}(t)) |
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| Q^{\downarrow}_{AQ}(t) = F_{AQ}(p(t), p_{wf}(t)) |
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Variations
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In some specific cases equation
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can be explicitly integrated:
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