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A Mathematical Model for Estimating Pressure Drops as a Function of Well Trajectory by Blessing Otamereand Kelani Bello (Pages 299-306)
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Abstract

A pressure drop model is a vital tool used by the oil and gas industries to predict the performance of any wellbore system and this is well documented in the literatures. It is critical therefore to evaluate energy potential of every well drilled in a reservoir and this defines the life span of the well as well as the reservoir system.

In order to evaluate the performance of a well, the geometry will play a significantly role especially for a deviated well. In this study, development of analytical approach is adopted to investigate pressure drops behavior in deviated wells. It presents formulation of a new mathematical model to predict pressure drops in deviated wellbores. The existing pressure drop models were modified to accommodate multiple well geometries such as build-and-hold, build-hold-and-drop, and continuous build. The modified model enabled efficient assessment of the effect of pressure drops on deviated wellbores. It can therefore be used to analyze the performance of any deviated wellbore system which will further enhance the effective pressure maintenance in the well?.

Keywords:  Well trajectory; pressure drop; well performance; pressure maintenance.

Nomenclature

A=tubing cross sectional area, ft2  = fluids mixture density, Ib/cuft   ∆P= pressure drop in pipe, psi

HL=pressure head loss, psi qL= liquid flow rate, bbl/dayθ= inclination angle, degree

L=tubing length, ftV= fluids velocity, ft/s = lead angle, degree

d=tubing internaldiameter, in  P= pressure, psi   = build rate, degree/100ft

Fs= force due to Shear Stress, Ib g= acceleration due to gravity, ft/s2 L1= measured depth for well vertical section, ft

Fg= force due to gravity, Ibgc= unit conversion for acceleration, 32.17Ibm-ft/Ib-s2 = drop rate, degree/100ft

F= force due to friction, Ib ∆Z= change in TVD, ft L2= measured depth for well build section, ft

= fanning friction factorµ= fluids viscosity, cpL3 = measured depth for well tangent section, ft

NRe= Reynolds Number  τ= shear stress, Ib/ft2 L4=measured depth for drop section, ft

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