NON-LINEAR OPTIMIZATION METHODS FOR SMALL EARTHQUAKE LOCATIONS

Abstract

The problem of locating mine tremors using P-wave arrival times is revisited in the paper. A multidimensional, global, non-linear, constrained optimization method is used as a minimization algorithm for tremor location.In order to see the general properties of the minimized function a few images showing its basins of attractions have been constructed. These pictures enable us to choose efficient algorithms needed to solve location problems. The classical genetic algorithm, pure random search and the most efficient multistart  algorithm have been tested. Local minimization methods should be introduced to the location procedure to increase the efficiency of tremor location.