Una generalización del modelo de Burridge y Knopoff para terremotos

Abstract

In this work, modifications to the Burridge and Knopoff model are proposed by incorporating two new ideas in order to make the description of a fault more realistic. The first idea is to assign different elastic constants to the springs that make up the model in order to reproduce the irregularities of the materials that make up a fault. We assume, in a first approximation, that these constants can be obtained from a Gaussian distribution. On the other hand, because the behavior of a fault involves the interaction of all spatial dimensions, the second idea is to establish a three-dimensional arrangement of the blocks that make up the model. To verify the validity of the proposed ideas, a comparison is made with known cases of the Burridge and Knopoff model in the one-dimensional case. When studying the distribution of earthquakes of the model we propose, it is obtained as a result that in a three-dimensional arrangement, the greater the number of blocks, the distribution tends to be closer to the law of Gutenberg and Richter.