# Interpretation of the Omori law

@article{Guglielmi2016InterpretationOT, title={Interpretation of the Omori law}, author={Anatol V. Guglielmi}, journal={Izvestiya, Physics of the Solid Earth}, year={2016}, volume={52}, pages={785-786} }

The well-known Omori law is represented in the form of the differential equation describing the evolution of the aftershock activity. The interpretation of the evolution equation is suggested. It is based on the idea of deactivation of the faults in the vicinity of the main shock of the earthquake. The generalization of the Omori law with the allowance for the nonstationarity of the medium in the source, which is cooling after the main shock, is presented.

## 21 Citations

### On the Fundamental Laws of Earthquake Physics

- MathematicsJournal of Volcanology and Seismology
- 2022

Abstract This paper deals with the Omori and Bath laws describing the properties of aftershocks of strong earthquakes. We reformulated Omori’s law by presenting it as a differential equation for the…

### The 150th Anniversary of Fusakichi Omori

- Mathematics
- 2018

This paper is devoted to the memory of the outstanding Japanese scientist. In 1896, Fusakichi Omori discovered the law of the aftershocks evolution that bears his name. We represent the Omori law in…

### The Phenomenology of Aftershocks

- Economics
- 2020

The presented paper is devoted to the search for mathematical basis for describing the aftershock evolution of strong earthquakes. We consider the experimental facts and heuristic arguments that…

### The search for empirical formulae for the aftershocks descriptions of a strong earthquake

- Geology
- 2019

The paper is based on the report read by the author on October 24, 2018 at the meeting of the Scientific Council of the Institute of Earth Physics of the Russian Academy of Sciences. The report was…

### Modelling temporal decay of aftershocks by a solution of the fractional reactive equation

- MathematicsAppl. Math. Comput.
- 2019

### A Phenomenological Theory of Aftershocks Following a Large Earthquake

- GeologyJournal of Volcanology and Seismology
- 2021

The paper presents a general outline of the phenomenological theory of aftershocks, i.e., subsequent shocks that occur in the source volume after the main shock. It is proposed to describe the…

### Lagrangian formulation of Omori’s law and analogy with the cosmic Big Rip

- PhysicsThe European physical journal. C, Particles and fields
- 2020

The beforeshock phase is analogous to an accelerating universe approaching a Big Rip, the main shock to the Big Rip singularity, and the aftershock to a contracting universe.

### Three New Fundamental Problems in Physics of the Aftershocks

- Geology
- 2020

Recently, the physics of aftershocks has been enriched by three new problems. We will conditionally call them dynamic, inverse, and morphological problems. Dynamic problem is to search for the…

### A spatio-temporal analogue of the Omori-Utsu law of aftershock sequences

- Mathematics
- 2021

A spatio-temporal version of the well-known Omori-Utsu law of aftershock sequences is proposed. This ‘diffusive Omori-Utsu law’ satisfies a nonlinear partial differential equation (PDE). A similarity…

### Aftershocks of the 2013 deep Okhotsk earthquake.

- Geology
- 2020

Strong deep earthquakes occurred in the Sea of Okhotsk, May 24, 2013 at 05:44 UTC. The magnitude of the earthquake is M = 8.3, the depth of the hypocenter is 629 km. The earthquake was accompanied by…

## References

SHOWING 1-7 OF 7 REFERENCES

### The aftershock dynamics of the Sumatra-Andaman earthquake

- GeologyIzvestiya, Physics of the Solid Earth
- 2014

The aftershocks of the catastrophic Sumatra-Andaman earthquake of December 26, 2004 (M = 9.0) are analyzed in the general context of the theory of critical phenomena. The analysis relies on the idea…

### Foreshocks and aftershocks of strong earthquakes in the light of catastrophe theory

- Geology
- 2015

In this review, general ideas and specific results from catastrophe theory and the theory of critical phenomena are applied to the analysis of strong earthquakes. Aspects given particular attention…

### Earthquake Hazard After a Mainshock in California

- GeologyScience
- 1989

Probabilities for damaging aftershocks and greater mainshocks are typically well-constrained after the first day of the sequence, with accuracy increasing with time.

### The Centenary of the Omori Formula for a Decay Law of Aftershock Activity

- Geology
- 1995

The Omori formula n(t)=K(t+c)-1 and its modified form n(t)=K(t+c)-P have been successfully applied to many aftershock sequences since the former was proposed just 100 years ago. This paper summarizes…

### On self-excited oscillations of the Earth // Izvestiya

- Physics of the Solid Earth,
- 2015