Scaling analysis, correlation length and compaction estimates of natural and simulated stylolites

Stylolites are rough dissolution surfaces that show three different scaling regimes in space and time. On the small scale surface energy dominates stylolites roughen very slowly with a growth exponent of about 0.5 roughness 1.0. intermediate elastic roughening is happening faster 0.8 0.5. The transitional length between these two determined by stress during stylolite termed as cross-over scale. large another transition reached beyond which amplitude remains constant, this correlation length. time or amount compaction happened at interface well stylolite's system size. This grows function dynamic exponent, 2 dominated regime 0.625 regime. We present examples for numerical natural how exponents can be used to determine through regimes. an increase size self-affine series. Large samples tectonic from Jurassic limestones Franconian Alb (SE Germany) exhibit all important scales grain noise 30 ?m, 1.4 mm 5.7 cm. overall on estimated range 8