Modelling facility for field-average formation pressure at any time moment as response to production flowrates history:
| |||
|
|
where
initial formation pressure | cumulative reservoir fluid balance | ||
field-average BHP in producers | cumulative offtakes by the time moment | ||
field-average BHP in injectors | cumulative intakes by the time moment | ||
effective porosity as function of formation pressure | cumulative volumetric inflow from gas cap expansion | ||
total compressibility as function of formation pressure | cumulative volumetric inflow from aquifer expansion | ||
effective formation thickness averaged over drainage area |
For low compressibility rocks and fluids the MatBal equation can be explicitly integrated:
p(t) = p_i + \frac{\Delta Q(t)}{V_e \cdot c_t} |
where
drainage volume |
For ideal dry gas:
p(t) = p_i \exp \left[ \frac{\Delta Q(t)}{V_e \cdot c_t} \right] |
Petroleum Industry / Upstream / Production / Subsurface Production / Field Study & Modelling / Production Analysis
Material Balance Analysis (0D or MatBal)