Modelling facility for field-average formation pressure
at any time moment
as response to
production flowrates history:
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anchor | MatBal |
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alignment | left |
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A_e \, h_e \int_{p_i}^p \phi_e(p) \, c_t(p) \, dp = \Delta Q (t) = Q^{\downarrow}_t(t) - Q^{\uparrow}_t(t) + Q^{\downarrow}_{GC}(t) + Q^{\downarrow}_{AQ}(t) |
where
For low compressibility rocks and fluids
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body | \{ \phi_e = {\rm const}, \ c_t = {\rm const} \} |
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the
MatBal equation
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can be explicitly integrated:
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p(t) = p_i + \frac{\Delta Q(t)}{V_e \cdot c_t} |
where
For ideal dry gas:
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p(t) = p_i \exp \left[ \frac{\Delta Q(t)}{V_e \cdot c_t} \right] |
See Also
Petroleum Industry / Upstream / Production / Subsurface Production / Field Study & Modelling / Production Analysis
Material Balance Analysis (0D or MatBal)