Application of Maximum Entropy Principle to the Seismic Frequency-Magnitude Relation

摘要

The occurrence of earthquakes can be classified as a random event and can be described using entropy. Earthquakes occur in the most disordered way, indicating that entropy has reached its maximum value, so we can use the Maximum Entropy Method to determine the distribution of earthquakes that occur within a certain area curing a particular period of time. Results show that the formula representing the relationship between seismic frequency and magnitude (based on data and experience) is in fact a negative exponential distribution under given restraints and supposing seismic entropy is set as the maximum value.