[GeostatsGuy Lectures] Data Analytics: Spatial Heterogeneity

发布于 2022-08-25  984 次阅读


Variance

Could use any measure of dispersion.
- Variance
- Population variance average squared difference from the mean

$$
\sigma^{2}=\frac{1}{N} \sum_{i=1}^{N}\left(x_{i}-\bar{x}\right)^{2}
$$

  • Unbiased estimate of population variance from sample set

$$
s^{2}=\frac{1}{N-1} \sum_{i=1}^{N}\left(x_{i}-\bar{x}\right)^{2}
$$

  • Standard Deviation

$$
\sigma=\sqrt{\sigma^{2}}
$$

Dykstra-Parsons Coefficient of Variation

Dykstra-Parsons Coefficient of Variation is a popular method for assessment of permeability variation:

Consider end members:
If $\sigma_{k}^{2}=0$ then $k_{50}=k_{16}$ and $V=0.0$
$V \leq 1.0$ since $k_{16} \geq 0.0$

Lorenz Coefficient

https://youtube.com/clip/UgkxKLFthw1KyOQQCa_eV2SmEHucEcbVvUu0

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最后更新于 2023-06-11