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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# | Equation | Author | Rock Type | Correlation database |
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1 | |
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2 | LaTeX Math Inline |
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body | V_{sh} = 0.083 \cdot (2^{3.7 I_{GR}} - 1) |
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| Larionov (1969) | Tertiary Jurassic rocks | West Siberia |
3 | LaTeX Math Inline |
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body | V_{sh} = 1.7 - \sqrt{(3.38 - (I_{GR}+0.7)^2)} |
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| Clavier (1971) |
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4 | LaTeX Math Inline |
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body | V_{sh} = \frac{ I_{GR}}{3 - 2 I_{GR}} |
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| Stieber (1970) |
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5 | LaTeX Math Inline |
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body | V_{sh} = 0.33 \cdot (2^{2 I_{GR}} - 1) |
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| Larionov (1969) | Older Rocks | West Siberia |
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| Table 1. GR values for popular minerals |
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| Rock Type | GR, API |
1 | Halite (NaCl) | 0 |
2 | Coal | 0 |
3 | Limestone | 5 – 10 |
4 | Sandstone | 10 – 20 |
5 | Dolomite | 10 – 20 |
6 | Shale | 80 – 140 |
7 | Mica | 100 – 170 |
8 | Silvite (KCl) | 500 |
Fig. 1. Shale Volume Models. |
See also
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References
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