The entropy of earthquakes is derived by using the Gutenberg–Richter statistical distributions. Both canonical and microcanonical earthquake distributions are given, and Einstein’s fluctuation formula is deduced for earthquakes. The seismic activity of Vrancea in the period 1980–2019 is analyzed, for earthquakes with magnitude greater than two, and the results are compared with the theoretical results. It is shown that the parameter of the magnitude distribution exhibits a tendency of increasing with time, due to the accumulation of small-magnitude earthquakes, interrupted from time to time by ruptures towards smaller values, caused by earthquakes with greater magnitudes. These variations do not obey the normal distribution of the fluctuations. The (small) time variations of the distribution parameter provide a measure of the departure of the seismic activity from an equilibrium process. For Vrancea, these deviations are very small (up to 1% per year).

地震的熵是通过使用古腾堡-里希特统计分布得出的。给出了规范和微规范的地震分布，并推导了爱因斯坦的波动公式。分析了1980-2019年期间Vrancea的地震活动，针对震级大于2的地震，并将其结果与理论结果进行了比较。结果表明，由于小震级地震的积累，震级分布参数呈现出随时间增加的趋势，小震级地震由于震级较大而时不时地破裂，向较小的值破裂。这些变化不服从波动的正态分布。分布参数的（小）时间变化提供了地震活动偏离平衡过程的量度。对于Vrancea，这些偏差非常小（每年高达1％）。