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Relation Between Concentration of K Th or U and Recorded Total Gamma Ray Signal Formula

γ=4CTh+8CU+CK\gamma=4C_{Th}+8C_U+C_K

Relation Between Concentration of K Th or U and Recorded Total Gamma Ray Signal calculates total gamma ray signal for rock properties workflows in petrophysics.

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How engineers use this formula

Use this formula when the listed inputs (C_Th, C_U, C_K) are known and the assumptions behind the cited rock properties 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, gamma equals 37.5 API units.

C_Thppm

5

C_Uppm

2

C_Kwt%

1.5

Inputs

C_Th

ppm

Thorium Concentration

C_U

ppm

Uranium Concentration

C_K

wt%

Potassium Concentration

Outputs

gamma

API units

Total Gamma Ray Signal

C_Th

ppm

Thorium Concentration

C_U

ppm

Uranium Concentration

C_K

wt%

Potassium Concentration

Source and review

reviewed

Bassiouni, Z. 1994. Theory, Measurement, and Interpretation of Well Logs. SPE Textbook Series Vol. 4, Chapter 7, Page 152.

Source

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