Width of strata in stratigraphic column
The width of a unit in a stratigraphic column, or 'log', sometimes represents the average  grainsize of the rock. I can imagine it being keyed to some other property, but grainsize is common. You'll find lots of examples with a quick search for 'sedimentary log'.

The height of a unit typically represents thickness if the vertical axis is length, height or depth. Alternatively, if the vertical axis is time, then the height of a unit corresponds to time duration.

I've tried to illustrate some of the typical layouts here:



On a wireline log, the horizontal axis is some physical property such as natural gamma-ray emission rate or bulk density. Check the legend.

There's no reason not to represent other parameters with the horizontal axis (or the vertical one, or the colour), but then you'd need to be careful about labelling things clearly.

Footnote: often colour is keyed to lithology. This may or may not closely follow the grainsize. Symbols may be added to represent other relevant characteristics of the rock, such as sedimentary structures and fossils.