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Reservoir EngineeringThermal Gradients

Formation Temperature for a Given Gradient Formula

Tf=Ts+gG(D100)T_f = T_s + g_G \cdot \left( \frac{D}{100} \right)

Formation Temperature for a Given Gradient calculates formation temperature for thermal gradients workflows in reservoir engineering.

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How engineers use this formula

Use this formula when the listed inputs (T_s, D, g_G) are known and the assumptions behind the cited thermal gradients relationship match the engineering case being checked.

Assumptions

  • Input values are representative for the well, reservoir, fluid, or equipment case being evaluated.
  • The declared units match the field-unit constants used in the formula.
  • The cited formula applies to the selected petroleum engineering workflow.

Limitations

  • The calculation does not replace a full engineering model or operating procedure.
  • Accuracy depends on the source correlation, assumptions, input quality, and unit consistency.

Common mistakes

  • Mixing unit systems without converting the inputs.
  • Using default example values as field recommendations.
  • Applying the formula outside the source assumptions.

Default example

Using the default inputs, T_f equals 203 °F.

T_s°F

75

Dft

8000

g_G°F/100ft

1.6

Inputs

T_s

°F

Temperature Near Surface

D

ft

Total Depth

g_G

°F/100ft

Geothermal Gradient

Outputs

T_f

°F

Formation Temperature

T_s

°F

Surface Temperature (rearranged)

D

ft

Total Depth (rearranged)

g_G

°F/100ft

Geothermal Gradient (rearranged)

Source and review

reviewed

Bassiouni, Z. (1994). Theory, Measurement, and Interpretation of Well Logs. SPE Textbook Series Vol. 4, Chapter 4, Page 75.

Source

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