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Epithermal Neutron Flux Distribution Formula

ψe=NN4πDeer/Ler\psi_e=\frac{N_N}{4\pi D_e}\frac{e^{-r/L_e}}{r}

Epithermal Neutron Flux Distribution calculates epithermal neutron flux for rock properties workflows in petrophysics.

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How engineers use this formula

Use this formula when the listed inputs (N_N, D_e, r, L_e) 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, psi_e equals 419.527875 neutrons/cm2/s.

N_Nneutrons/s

1000000

D_ecm

2.5

rcm

20

L_ecm

15

Inputs

N_N

neutrons/s

Neutron Source Emission Rate

D_e

cm

Epithermal Neutron Diffusion Coefficient

r

cm

Distance from Neutron Source

L_e

cm

Epithermal Neutron Diffusion Length

Outputs

psi_e

neutrons/cm2/s

Epithermal Neutron Flux

N_N

neutrons/s

Neutron Source Emission Rate

D_e

cm

Epithermal Neutron Diffusion Coefficient

L_e

cm

Epithermal Neutron Diffusion Length

Source and review

reviewed

Theory, Measurement, and Interpretation of Well Logs, Bassiouni, Z. (1994)

Bassiouni, Z. 1994. Theory, Measurement, and Interpretation of Well Logs. SPE Textbook Series Vol. 4, Chapter 2, Page 39.

Source

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