2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/20969We study the roughness of stylolite surfaces (i.e. natural pressure-dissolution surfaces in sedimentary rocks) from profiler measurements at laboratory scales. The roughness is shown to be nicely described by a self-affine scaling invariance. At large scales, the roughness exponent is $ζ_1 \approx 0.5$ and very different from that at small scales where $ζ_2 \approx 1.1$. A cross-over length scale at around $λ_c =1$mm is well characterized and interpreted as a possible fossil stress measurement if related to the Asaro-Tiller-Grinfeld stress-induced instability. Measurements are consistent with a Langevin equation that describes the growth of stylolite surfaces in a quenched disordered material with long range elastic correlations.4 pages, 5 figuresDisordered Systems and Neural NetworksMaterials Sciencetext