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  1. Iterations
  2. Iteration
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Outputs

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LaTeX Math Inline
bodyT(l)

Temperature distribution along the wellbore trajectory


Inputs

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LaTeX Math Inline
bodyT_s

Intake temperature 

LaTeX Math Inline
bodyz(l)

Pipeline trajectory TVDss

LaTeX Math Inline
bodyp_s

Intake pressure 

LaTeX Math Inline
body\theta (l)

Pipeline trajectory inclination,

LaTeX Math Inline
body--uriencoded--\displaystyle \cos \theta (l) = \frac%7Bdz%7D%7Bdl%7D

LaTeX Math Inline
bodyq_s

Intake flowrate 

LaTeX Math Inline
bodyd

Flow pipe diameter

(tubing or casing depending on where flow occurs)

LaTeX Math Inline
body\rho(T, p)

Fluid density 

LaTeX Math Inline
body\epsilon

Inner pipe wall roughness

LaTeX Math Inline
body\mu(T, p)

Fluid viscosity 

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LaTeX Math Inline
bodyT(l)

Temperature distribution along the wellbore trajectory




Assumptions

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Stationary fluid flowIsothermal or Quasi-isothermal conditions

Constant cross-section pipe area

LaTeX Math Inline
bodyA
along hole

Incompressible fluid  

LaTeX Math Inline
body\rho(T, p)=\rho_s = \rm const

Isoviscous  

LaTeX Math Inline
body\mu(T, p) = \mu_s = \rm const


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