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Wellbore Heat Loss Calculator

Calculate fluid temperature profile along the wellbore during injection. Uses Ramey's (1962) analytical model for heat transfer between tubing and formation.

Well & Formation Parameters

Total Depth (ft)

Surface Temperature (F)

Geothermal Gradient (F/100ft)

Injection Temperature (F)

Flow Rate (bbl/day)

Fluid Specific Heat (BTU/lb-F)

Wellbore Dimensions & Properties

Tubing OD (in)

Casing ID (in)

Overall Heat Transfer Coeff (BTU/hr-ft2-F)

Formation Thermal Conductivity (BTU/hr-ft-F)

Injection Time (days)

Results

Bottomhole Fluid Temp

Formation Temp at TD

Temperature Loss

Relaxation Distance (A)

Temperature Profile vs Depth

How this works

Ramey's Model (1962): T(z) = Tgeo(z) - gG*A + (Tinj - Tsurf + gG*A) * exp(-z/A)

A (relaxation distance): A = w*cp / (2*pi*rto*U) where w is mass flow rate. Controls how quickly fluid approaches geothermal temperature.

Geothermal: T_formation(z) = T_surface + gG * z

Higher flow rates = larger A = less heat exchange with formation (fluid stays closer to injection temp).

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