The process of earthquake appearance in its focus is analyzed on the basis of the oscillation theory. The earthquake focus consisting for simplicity of two blocks (granitic and basaltic) is studied mathematically and physically. The block sizes, density and Young's modulus of the rocks composing these blocks are considered to be known. We assume that the blocks are located on an edge of a regional tectonic fault. The tectonic plate or subplate, moving with a given speed u of shearing, is on the other edge of the fault. The mechanical interaction of the fault edges is due to the friction, which depends on the relative velocity V = u − d x /d t , where x is a coordinate of the concrete block. Physical-mathematical equations of block motion are solved using analytical methods. As a result, we find complete information about seismic vibrations in the focus and their characteristics. The evolutions of kinetic, potential and total energy as well as the function of dissipation in the focus and magnitude of the earthquake are calculated. The computations were carried out at different speeds of movement u . This allowed us to study the dependence of the earthquake magnitude on the velocity u of the main plate. The constructed original model of the earthquake focus unmasks the mechanism of seismic oscillations and their properties.

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震源离散数学模型：简介

以振荡理论为基础，分析了其震源地地震出现的过程。为简单起见，从数学和物理上研究了由两个块（花岗岩和玄武岩）组成的地震震源。组成这些块的岩石的块大小、密度和杨氏模量被认为是已知的。我们假设这些区块位于区域构造断层的边缘。以给定剪切速度 u 运动的构造板块或亚板块位于断层的另一边。断层边缘的机械相互作用是由摩擦引起的，它取决于相对速度 V = u − dx /dt ，其中 x 是混凝土块的坐标。块运动的物理数学方程使用解析方法求解。因此，我们在焦点中找到了有关地震振动及其特征的完整信息。计算了动能、势能和总能的演变以及地震震源和震级的耗散函数。计算是在不同的运动速度 u 下进行的。这使我们能够研究地震震级对主板速度 u 的依赖性。构建的地震震源原始模型揭示了地震振荡的机制及其性质。这使我们能够研究地震震级对主板速度 u 的依赖性。构建的地震震源原始模型揭示了地震振荡的机制及其性质。这使我们能够研究地震震级对主板速度 u 的依赖性。构建的地震震源原始模型揭示了地震振荡的机制及其性质。