Extraction of meaningful information on the timing of fault activity from clay gouges using radiometric dating methods, such as those based on the K-Ar system, can be challenging. One of the factors complicating interpretation of the radiometric dating results is the presence of multiple K-bearing components in the gouge material. In the current study, an attempt was made to develop a new interpretative method for K-Ar and ⁴⁰Ar-³⁹Ar dating, capable of handling a three-component mixture. In addition, the mineral composition of clay gouges from the Tatra Mountains (Poland), which has not been investigated before, is reported. The mineral compositions of the bulk clay gouge material and separated size fractions were determined by X-ray diffractometry and Fourier-transform infrared spectroscopy. The gouge samples were composed of quartz, dioctahedral mica (as a discrete phase and as a component of mixed-layered illite-smectite), and chlorite, commonly with plagioclase and more rarely with K-feldspar, dioctahedral smectite, calcite, anatase, or trace kaolinite. One feldspar-free sample containing three mica polytypes (1M_d, 1M, and 2M₁) was chosen for dating with the ⁴⁰Ar-³⁹Ar method. The results of ⁴⁰Ar-³⁹Ar dating were interpreted using three concepts: Illite Age Analysis (IAA), a method based on the MODELAGE software, and a newly developed three-component concept. The age values obtained with IAA were −14 Ma ± 31 Ma and 180 ± 91 Ma for authigenic (1M_d) and inherited (1M + 2M₁) components, respectively. The MODELAGE-based approach returned –4 ± 40 Ma and 165 ± 62 Ma. The three-component approach returned age values of polytypes as follows: 1M_d, 15 ± 37 Ma; 1M, 135 ± 57 Ma; 2M₁, 121 ± 56 Ma based on the medians and the interquartile ranges of non-normal distributions of Monte Carlo-simulated age values. The results obtained indicated that the 1M_d polytype was probably formed during the most recent stage of fault activity, while 1M and 2M₁ polytypes are of equal age, roughly.

使用辐射测年方法（例如基于 K-Ar 系统的方法）从粘土凿岩中提取有关断层活动时间的有意义信息可能具有挑战性。使辐射测年结果解释复杂化的因素之一是过凿材料中存在多个含 K 的成分。在目前的研究中，尝试开发一种新的 K-Ar 和⁴⁰ Ar- ^{39解释方法}Ar 测年，能够处理三组分混合物。此外，还报道了来自塔特拉山脉（波兰）的粘土凿岩的矿物成分，以前没有进行过调查。通过 X 射线衍射和傅里叶变换红外光谱测定了块状粘土泥料的矿物组成和分离的尺寸分数。凿岩样品由石英、双八面体云母（作为离散相和混合层状伊利石-蒙脱石的组成部分）和绿泥石组成，通常带有斜长石，很少有钾长石、双八面体绿土、方解石、锐钛矿或痕量高岭石。一份不含长石的样品，包含三种云母多型（1 M _d、1 M和 2 M ₁) 被选择用于⁴⁰ Ar- ³⁹ Ar 方法测年。⁴⁰ Ar- ³⁹ Ar 测年结果使用三个概念进行解释：伊利石年龄分析 (IAA)，一种基于MODELAGE软件的方法，以及新开发的三分量概念。对于自生 (1 M _d ) 和遗传 (1 M + 2 M ₁ ) 组件，IAA 获得的年龄值分别为 -14 Ma ± 31 Ma 和 180 ± 91 Ma 。基于MODELAGE的方法返回 –4 ± 40 Ma 和 165 ± 62 Ma。三分量方法返回的多型年龄值如下：1 M _d，15 ± 37 Ma；1米，135±57 毫安；2 M ₁ , 121 ± 56 Ma 基于蒙特卡罗模拟年龄值的非正态分布的中位数和四分位数范围。结果表明，1 M _d多型可能形成于断层活动的最近阶段，而1 M和2 M ₁多型的年龄大致相同。