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where
| LaTeX Math Inline |
|---|
| body | \{ q_W, \, q_O, \, q_G \} |
|---|
|
| water, oil, gas surface flowrates |
| LaTeX Math Inline |
|---|
| body | \{ B_w, \, B_o, \, B_g \} |
|---|
|
| oil formation volume factorsfactor between separator and sandface pressure/temperature conditions |
| Solution GOR and Vaporized oil ratio at sandface pressure/temperature conditions |
...
| LaTeX Math Block |
|---|
| q_t = B_o \, q_O + (B_g - R_s B_o) \, q_G =B_o \, (q_O -R_s q_G) + B_g \, q_G
|
and simplifies further down to production from undersaturated reservoir as:
| LaTeX Math Block |
|---|
|
q_t = B_w \, q_W + B_o \, q_O
|
and even simpler for single-phase fluid with surface flow rate
and formation volume factor B:| LaTeX Math Block |
|---|
|
q_t = q \cdot B
|
See also
...
Non-linear multi-phase diffusion derivation @model
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