Faculty of Physics - University of Bucharest

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FACULTY OF PHYSICS

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Conference: Bucharest University Faculty of Physics 2001 Meeting

Section: Atmosphere and Earth Science; Environment Protection

Title:

NONLINEAR MODELLING OF FREQUENCY-MAGNITUDE DISTIBUTION FOR VRANCEA EARTHQUAKES

Authors:

Alexandru Marmureanu*, Carmen O. Cioflan*, Bogdan F. Apostol*

Affiliation:

*University of Bucharest, Faculty of Physics, * National Institute for Earth Physics, P.O.Box Mg-2, 76900, Magurele, Bucharest

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Keywords:

Abstract:

Given a set of observations like frequency-magnitude distributions , one often wants to condense and summarize the data by fitting it to a “model” that depends on adjustable parameters. We consider fitting when the model depends nonlinearly on the set of N unknown parameters aK ,k=1,2,3,…,N . With nonlinear dependences, the minimization process proceed iteratively. The parameters of the nonlinear model are then adjusted to achieve a minimum in the merit function, yielding best-fit parameters. Finally it is developed a procedure that improves the trial solution and Levenberg-Marquardt method works very well in practice to find this specific frequency-magnitude distribution for Vrancea earthquakes.