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The volume shares
| LaTeX Math Inline |
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| body | \{ s_w(l), \, s_o(l), \, s_g(l) \} |
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, occupied by different phases will be varying along hole due to along-hole pressure-temperature variation, phase segregation and phase slippage.
It is now possible to simulate the stationary multiphase wellbore flow and link the surface flow conditions (pressure, temperature and rates) to downhole flow conditions at any depth.
This model finds important applications in industry.
If well production is varying in time slowly by operational the quazi-staytonary
Definition
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Mathematical model of Multiphase Wellbore Flow predicts the temperature, pressure and flow speed distribution along the wellbore trajectory with account for:
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| Input | Output |
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| LaTeX Math Inline |
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| body | Ps, \, T_s, \ \{ q_w, q_o, \, q_g \} |
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as values at separator | | LaTeX Math Inline |
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| body | P(l), \, T(l), \, \{ s_w(l), \, s_o(l), \, s_g(l) \}, \, \{ q_w(l), \, q_o(l), \, q_g(l) \} |
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as logs along hole |
Application
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| Activity |
| Input | Output |
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| 1 | WPA – Well Performance Analysis | Optimizing the lift performance based on the IPR vs VLP models | | LaTeX Math Inline |
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| body | p_s, \, T_s, \ \{ q_w, q_o, \, q_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 |
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| 2 | DM – Dynamic Modelling | Relating production rates at separator to bottom-hole pressure with VLP | | LaTeX Math Inline |
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| body | p_s, \, T_s, \ \{ q_w, q_o, \, q_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 |
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| 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 |
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| 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) \} |
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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 |
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