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Mathematical model of rock shaliness.


The shales contain much higher concentration of radioactive minerals comparing to clean sands and carbonates (see Table 1 below).

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#EquationAuthorRock TypeCorrelation database
1

LaTeX Math Inline
bodyV_{sh} = I_{GR}




2

LaTeX Math Inline
bodyV_{sh} = 0.083 \cdot (2^{3.7 I_{GR}} - 1)

Larionov (1969)Tertiary Jurassic rocksWest Siberia
3

LaTeX Math Inline
bodyV_{sh} = 1.7 - \sqrt{(3.38 - (I_{GR}+0.7)^2)}

Clavier (1971)

4

LaTeX Math Inline
bodyV_{sh} = \frac{ I_{GR}}{3 - 2 I_{GR}}

Stieber (1970)



5

LaTeX Math Inline
bodyV_{sh} = 0.33 \cdot (2^{2 I_{GR}} - 1)

Larionov (1969)Older RocksWest Siberia

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Table 1. GR values for popular minerals


Rock TypeGR, API
1Halite (NaCl)0
2Coal0
3Limestone5 – 10
4Sandstone10 – 20
5Dolomite10 – 20
6Shale80 – 140
7Mica100 – 170
8Silvite (KCl)500
Fig. 1. Shale Volume Models.

See also

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References

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