Nonlinear Whole Seismology, Topological Seismology, Magnitude-Period Formula of Earthquakes and Their Predictions

Yi-Fang Chang

doi:10.31586/wjgg.2021.010101

Abstract

First, we propose the nonlinear whole seismology and its three basic laws. Next, based on the nonlinear equations of fluid dynamics in Earth’s crust, we obtain a chaos equation, in which chaos corresponds to the earthquake, and shows complexity on seismology. But, combining the Carlson-Langer model and the Gutenberg-Richter relation, a simplified nonlinear solution and corresponding magnitude-period formula of earthquakes may be derived approximately. Further, we research the topological seismology. From these theories some predictions can be calculated quantitatively and are already tested. Combining the Lorenz nonlinear model, we may discuss the earthquake migration to and fro. Finally, if various modern scientific instruments, different scientific theories and some paranormal ways for earthquake are combined each other, the accuracy of multilevel prediction will be increased.

Highlights

It is recognized that the earthquakes are very complex nonlinear phenomena, and many theories and some phenomenological descriptions have been proposed, such as fractals, and propagation and interaction on the seismic wave in the nonlinear media [13]
We propose the nonlinear whole seismology, topological seismology and their applications
Based on general geodynamics [13], and combines the Burridge-Knopoff block-andspring model of an earthquake fault presented by Carlson, Langer, et al [4,5,6,7,8], we proposed that the fundamental nonlinear equations of fluid mechanics in Earth’s crust with momentum conservation are:

Summary

Introduction

It is recognized that the earthquakes are very complex nonlinear phenomena, and many theories and some phenomenological descriptions have been proposed, such as fractals, and propagation and interaction on the seismic wave in the nonlinear media [13]. Langer, et al [4,5,6,7,8], presented the Burridge-Knopoff block-and-spring model of an earthquake fault, and discussed basic properties, predictability and so on. Based on the Gutenberg-Richter (GR) relation, we proposed the magnitude-period formula of the earthquake [9,10]:. Topology is the mathematical study on properties of space preserved under continuous deformations including stretching and bending, but not tearing or gluing. We propose the nonlinear whole seismology, topological seismology and their applications

Nonlinear Whole Seismology and Its Basic Laws

Nonlinear Geodynamics and Seismology

Magnitude-Period Formula of Earthquake

Seismological Topology

Predictions of Earthquakes