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

柱状石是粗糙的溶解表面，在空间和时间上表现出三种不同的结垢状态。在小尺度上，表面能占主导地位，并且缝合线粗化非常缓慢，生长指数约为 0.5，粗糙度指数约为 1.0。在中间尺度上，弹性能量占主导地位，表面粗糙化发生得更快，增长指数约为 0.8，粗糙度指数约为 0.5。这两种缩放方式之间的过渡长度由针线石生长过程中的应力决定，称为交叉长度尺度。在大尺度上，达到了另一个转变，超过该转变，缝合线振幅保持恒定，这个长度尺度被称为相关长度。相关长度由生长时间或界面处发生的压实量以及触针的系统尺寸决定。该长度尺度随着时间和动态指数的变化而增长，在表面能主导状态下约为 2，在弹性能主导状态下约为 0.625。我们展示了数值和天然针石的这些缩放方案的示例，并展示了如何使用指数来确定不同方案中的针石压实度。在自仿射时间序列中，数值样式显示相关长度随系统大小的增加而增加。来自弗兰肯阿尔布（德国东南部）侏罗纪石灰岩的大量天然构造针线石样品在自仿射空间系列中展示了所有三种比例机制。自然系统中重要的长度尺度是 30 μm 的晶粒尺寸或噪声，1.4 mm 的表面和弹性能量主导区域之间的交叉长度和 5.7 cm 的相关长度。构造缝合线的整体压实度估计在 8 cm 范围内。