...
Assume the well is producing
of of water,
of of oil and
of of gas as measured daily at separator with pressure
and temperature
.
...
The
-
phase phase volumetric flow fraction ( also called
phase cut or
input hold-up or
no-slip hold-up ) is defined as:
...
| LaTeX Math Block |
|---|
|
q_t = \sum_\alpha q_\alpha = q_w + q_o + g_g |
The In multiphase wellbore flow assumes that every each phase occupies its own area
of the total cross-sectional area
of the lifting pipe.
...
When word hold-up is used alone it usually means in-situ hold-up and should not be confused with input hold-up or no-slip hold-up which should be better called volumetric flow fraction.
The actual average cross-sectional velocity of moving
-phase is called
in-situ velocity and defined as:
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The 3-phase water-oil-gas model is usually built as a superposition of gas-liquid model and then oil-water model:
Input & Output
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Dynamic Dynamic | Output |
|---|
| LaTeX Math Inline |
|---|
| body | Ps, \, T_s, \ \{ q_w, q_o, \, q_ |
|---|
|
|
o | | LaTeX Math Inline |
|---|
| body | P(l), \, T(l), \, \{ s_w(l), \, s_o(l), \, s_g(l) \}, \, \{ q_w(l), \, q_o(l), \, q_g(l) \} |
|---|
|
as logs along hole |
Application
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| Activity |
| Input | Output |
|---|
| 1 | WPA – Well Performance Analysis | Optimizing the lift performance based on the IPR vs VLP models | | LaTeX Math Inline |
|---|
| body | Ps, \, T_s, \ \{ q_W, \w, q_Oo, \, q_G g \} |
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|
as values at separator | | LaTeX Math Inline |
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| body | P_{wf}(l = l_{datum}) |
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|
as value at formation datum |
|---|
| 2 | DM – Dynamic Modelling | Relating production rates at separator to bottom-hole pressure with VLP | | LaTeX Math Inline |
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| body | Ps, \, T_s, \ \{ q_W, \w, q_Oo, \, q_G g \} |
|---|
|
as values at separator | | LaTeX Math Inline |
|---|
| body | P_{wf}(l = l_{datum}) |
|---|
|
as value at formation datum |
|---|
| 3 | PRT – Pressure Testing | Adjust gauge pressure to formation datum | | LaTeX Math Inline |
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| body | P_{wf}(l = l_{gauge}) |
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|
as value at downhole gauge | | LaTeX Math Inline |
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| body | P_{wf}(l = l_{datum}) |
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|
as value at formation datum |
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| 4 | PLT – Production Logging | Interpretation of production logs | | LaTeX Math Inline |
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| body | \{ p(l), \, T(l), \, u_m(l), \, s_w(l), \, s_o(l), \, s_g(l) \} |
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|
as logs along hole | | LaTeX Math Inline |
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| body | \{ q_w(l), \, q_o(l), \, q_g(l) \} |
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|
as logs along hole |
|---|
| 5 | RFP – Reservoir Flow Profiling | Interpretation of reservoir flow logs | | LaTeX Math Inline |
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| body | \{ p(l), \, T(l), \, u_m(l), \, s_w(l), \, s_o(l), \, s_g(l) \} |
|---|
|
as logs along hole | | LaTeX Math Inline |
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| body | \{ q_w(l), \, q_o(l), \, q_g(l) \} |
|---|
|
as logs along hole |
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...
