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| LaTeX Math Block |
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Q^{\downarrow}_t(t)=\int_{t_0}^t q^{\downarrow}_t(\tau) d\tau |
where
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| body | q^{\downarrow}_t(\tau) |
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Depending on context may mean:
| Water Injection | Gas Injection | Water Injection + Gas Injection |
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| LaTeX Math Block |
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| Q^{\downarrow}_W(t)=\int_{t_0}^t B_w q^{\downarrow}_W(\tau) d\tau
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| Q^{\downarrow}_G(t)=\int_{t_0}^t B_g q^{\downarrow}_G(\tau) d\tau
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| Q^{\downarrow}_t(t)=Q^{\downarrow}_W(t) + Q^{\downarrow}_G(t)
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where
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| body | q^{\downarrow}_W(\tau), \, q^{\downarrow}_G(\tau) |
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| body | B_w(p_e(\tau), T_e(\tau)), \, B_g(p_e(\tau), T_e(\tau)) |
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| formation volume factors between separator and sandface pressure/temperature conditions |
The difference between cumulative intakes and cumulative injection is that cumulative intakes accounts for the shrinkage factors and cross-phase exchange coefficients which depend on formation pressure
and
formation temperature and may vary over time:
Cumulative Intakes (no reference to the fluid) | Cumulative Injection (no reference to the fluid) |
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| LaTeX Math Inline |
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| body | Q^{\downarrow}_{\rm in} = \int_0^t B(p(\tau), T(\tau)) q^{\downarrow}(\tau) d\tau |
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| | LaTeX Math Inline |
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| body | Q^{\downarrow}_{\rm inj} = \int_0^t q^{\downarrow}(\tau) d\tau |
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See Also
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Petroleum Industry / Upstream / Production / Subsurface Production / Field Study & Modelling / Production Analysis
Intakes,[ Intakes ] [ Cumulative Offtakes, ] [ Cumulative VRR ]
