Shale index from gamma ray spectrometry

Input(s)

CThlogC_{T h_{l o g}}: Log Response for Thorium Curve (ppm)

CThminC_{T h_{m i n}}: Log Response in Zone with Min Radioactivity of Thorium (ppm)

CThsl:C_{T h_{s l}:}: Log Response of Thorium for Shale (ppm)

CKlog :C_{K_{\text {log }}:}: Log Response of Potassium Curve (ppm)

CKmin C_{K_{\text {min }}}: Log Response in Zone with Min Radioactivity of Potassium (ppm)

CKsh::logC_{K_{s h}:}: \quad \log Response of Potassium for Shale (ppm)

γ(ufflog\gamma_{\left(u f f_{l o g}\right.}: Log Response for Uranium Free Curve (API units)

γ(ufmin\gamma_{\left(u f_{m i n}\right.}: Log Response in Zone with Min Radioactivity of Uranium (API units)

γ(ufsh\gamma_{\left(u f_{s h}\right.}: Log Response of Uranium for Shale (API units)

Output(s)

I(sh)ThI_{(s h)_{T h}}: Shale Index for Thorium (dimensionless)

I(sh)KI_{(s h)_{K}}: Shale Index for Potassium (dimensionless)

I(sh)UfI_{(s h)_{U f}}: Shale Index for Uranium (dimensionless)

Formula(s)

I(sh)Th=[CThlogCThmin][CThshCThmin]I(sh)K=CKlogCKminCKshCKminI(sh)Uf=[γ(uf)logγ(uf)min][γ(uf)shγ(uf)min]\begin{gathered} I_{(s h)_{T h}}=\frac{\left[C_{T h_{l o g}}-C_{T h_{\min }}\right]}{\left[C_{T h_{s h}}-C_{T h_{\min }}\right]} \\ I_{(s h)_{K}}=\frac{C_{K_{l o g}}-C_{K_{\min }}}{C_{K_{s h}}-C_{K_{\min }}} \\ I_{(s h)_{U f}}=\frac{\left[\gamma_{(u f)_{l o g}}-\gamma_{(u f)_{\min }}\right]}{\left[\gamma_{(u f)_{s h}}-\gamma_{(u f)_{\min }}\right]} \end{gathered}

Reference(s)

Bassiouni, Z., 1994, Theory, Measurement, and Interpretation of Well Logs. SPE Textbook Series Vol. 4. Chapter 7, Page: 156.


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