Shaliness from GR
The shales contain much higher concentration of radioactive minerals comparing to clean sands and carbonates (see Table 1 below).
This is why the most common way to quantify the shale content is the intensity of the natural gamma-ray (GR) emission.
The fist step is to normalize the actual GR-tool readings GR_{log} to the reference values in clean rocks GR_m and pure shales GR_{sh} which is called Shale Index:
(1) | I_{GR}(l) = \frac{GR_{log}(l) - GR_m}{GR_{sh} - GR_m} |
where l – along-hole depth.
The model parameters GR_{sh} and GR_m are calibrated for each lithofacies individually.
The Shale Index I_{GR} is varying between 0 (for non-shally rocks) and 1 (for pure shales) but the actual shaliness may behave non-linearly between these extremes (especially for shallow, young reservoirs).
This can be calibrated based on the available core data.
The table below summarises some popular shaliness models:
# | Equation | Author | Rock Type | Correlation database |
---|---|---|---|---|
1 | V_{sh} = I_{GR} | |||
2 | V_{sh} = 0.083 \cdot (2^{3.7 I_{GR}} - 1) | Larionov (1969) | Tertiary Jurassic rocks | West Siberia |
3 | V_{sh} = 1.7 - \sqrt{(3.38 - (I_{GR}+0.7)^2)} | Clavier (1971) | ||
4 | Stieber (1970) | |||
5 | V_{sh} = 0.33 \cdot (2^{2 I_{GR}} - 1) | Larionov (1969) | Older Rocks | West Siberia |
Fig. 1. Different shales volume models |
See also
Petroleum Industry / Upstream / Subsurface E&P Disciplines / Petrophysics / Reservoir Data Logs (RDL) @model