摘要
古登堡的地震大小与频次之间的关系式(后面简称为古登堡公式)是地震活动性研究中最有普适意义的规律之一。对古登堡公式的物理解释有两种学说被广泛接受:茂木的介质不均匀性决定理论及肖尔茨的应力水平决定理论。他们各自从概率推演式加上各自的逻辑推理建立了古登堡公式。然而实际的古登堡公式应当是既反映介质特征又反映应力水平的关系式。因此茂木和肖尔茨所建立的古登堡公式尽管形式上一致,其实质却是片面的。这就是为什么仍然有必要研究b值物理机制的一个出发点。本文从实际大地介质出发,井结合断裂理论推演出了古登堡公式。所得的b值表达式与岩石微破裂实验的结果相符合,从而在理论上统一了茂木及肖尔茨的学说。
The Gutenberg-Richter earthquake frequency-magnitude relation is one of the most universal laws in the seismicity. Explaining B. Gutenberg formula in physics, two theories have been acccepted extensively. One is the theory caused by medium heterogeneity which was proposed by K. Mogi, the other is the theory caused by stress level which was proposed by C. H. Scholz. They individually built B. Gutenberg formula from probability calculating formula along with individual reasoning. However, actual Gutenberg-Richter formula shall be relation which reflects both medium character and stress level. So two forms which were built individually by K. Mogi and C. H. Scholz are very alike in appearance, but they are essentially unilateral. This is the reason why it is necessary to study physical mechanism of b value in this paper. Starting from real geo-medium and using fracture theory, Gutenberg-Richter formula is calculated. Our result of b value expression accords with result obtained from rock breaking experiment. So K. Mogi and C. H. Scholz theory is unified in theory.
出处
《西北地震学报》
CSCD
1990年第3期1-13,共13页
Northwestern Seismological Journal
