Searching I stumbled over this paper[1], which I found interesting, on characterizing the fractal-ness of geological structures. They point out that the usual

Searching I stumbled over this paper[1], which I found interesting, on characterizing the fractal-ness of geological structures. They point out that the usual measure of fractal dimension, or capacity dimension[2], doesn't consider the physical size of the features and can thus be inaccurate. Instead they suggest using the information dimension[3], which is bounded by the capacity dimension. [1]: https://doi.org/10.1016/j.chaos.2018.05.008 https://doi.org/10.1016/j.chaos.2018.05.008 (full text available on that hub of science) [2]: https://mathworld.wolfram.com/CapacityDimension.html https://mathworld.wolfram.com/CapacityDimension.html [3]: https://mathworld.wolfram.com/InformationDimension.html https://mathworld.wolfram.com/InformationDimension.html