Borehole density measurement using pulsed neutron tool

A method for determining borehole density comprising:

• disposing a pulsed-neutron logging tool into a borehole;
• emitting a neutron from a neutron source on the pulsed-neutron logging tool into the wellbore casing;
• capturing one or more gammas expelled from the borehole;
• and
• determining borehole density utilizing the captured one or more gammas based at least in part on a production intensity, wherein the production intensity is constant.

A system for determining borehole density comprising:

• a pulsed-neutron logging tool comprising:
• a neutron source configured to emit a neutron into a wellbore casing;
• and
• a neutron detector configured to capture a gamma expelled from the wellbore casing due to the neutron from the neutron source;
• and
• an information handling system for:
• identifying an attenuation and a borehole density;
• and
• formulating a production intensity of 7.6 MeV for the gamma of iron using Iy=7,6 MeV=TFe*σ*φ wherein TFe is an iron atomic density in a material, σ is a capture cross section of iron, and φ is a neutron flux at given point.