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Neutron count in window time interval 

LaTeX Math Inline
body\tau = [\tau_1, \, \tau_2]



Neutron Porosity


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N_{near}[\tau] = \int_{\tau_1}^{\tau_2} N_{near}(t) dt

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\phi_NT = N2F[\tau] + \Delta_{\tau}(\phi_N)


Neutron Sigma


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N_{near}(t) = N_{near}(0) \exp ( - t \, \Sigma_{near} )

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\Sigma_{far} = \Sigma_{frm} + \Delta_{far}(\phi)



Neutron Saturation


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\Sigma_{frm} = (1-\phi) \, \Sigma_m  + \phi \, ( \Sigma_w \, s_w + \Sigma_o \, s_o +\Sigma_g \, s_g)


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\delta \Sigma_{frm} \approx +/-1.5 c.u. 


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\Sigma_m = \sum_k \Sigma_k

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\Sigma_o \approx 1518 \quad  11 < \Sigma_o  < 21 


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\Sigma_w = 21 + 0.05 * Sal[\rm ppk]

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\Sigma_g \approx 3 


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\Sigma_{sh} \approx 40 \, c.u. 


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\Sigma_{ls} \approx 7 \, c.u. 


In case of two-component sandstone-shale model:

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\Sigma_m = (1-V_{sh}) \, \Sigma_{lms} + V_{sh} \, \Sigma_{sh}


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TSCN, TSCF, NPHI, SIGMA


References

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SPE162074 – Memory Pulsed Neutron-Neutron Logging