This paper discusses on uncertainty and optimal sensor placement for estimating multi-phase flow rates from the producing well by inversely solving the well flow model, given the down-hole temperature and pressure measurements. Uncertainty of the estimated multi-phase flow rates are evaluated by solving the error propagation from the given uncertainties of pressure and temperature measurements used to make the estimation. The uncertainties of the multi-phase flow rate estimations are studied for different sensor combination and location to search for the optimal sensor placement which gives the lowest uncertainty for multi-phase flow rate estimations. From the simulation study, preferred sensor combination and location of pressure and temperature measurements are found for typical oil gas 2-phase vertical well case. The methodology can be applied for reliable down-hole multi-phase flow monitoring and optimal sensor placement design for monitoring the multi-phase flow rate using temperature and pressure measurements within an allowable estimation uncertainty and sensor cost.

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