One-dimensional magnetotelluric inversion using levenberg-marquardt and particle swarm optimization algorithm

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D. Darisma, Marwan

2019 IOP Conference Series: Earth and Environmental Science Vol. 364 Issue 1 Conference paper Cited by 3 SDG 14 Quartile

Abstract

Magnetotelluric is a geophysical method which uses natural time variations of the Earth's magnetic and electric fields. One-dimensional magnetotelluric inversion was carried out to estimate the electrical resistivity distribution of rocks which varied with depth. Non-linear relationships between model parameters and observation data lead to difficulties in the inversion process. This problem can be solved with a non-linear inversion method with a global search technique. One of the global search technique that gaining interest in the inverse problem is Particle Swarm Optimization (PSO). PSO can find acceptable solutions from a very broad set of initial parameters. This study also carried out a non-linear local search technique, namely Levenberg-Marquardt (LM) which has been used globally for the geophysical problem. Then the two inversion algorithm was compared in determining the best model solution. There are two data used in this study which are generated from a three-layer model, namely data without noise and also data that has been added by Gaussian noise with 10% standard deviation. It was found that the results of the two inversions were quite good at determining the actual model. LM algorithm is an algorithm that is truly influenced by the initial value of the damping factor ϵ 2 while PSO algorithm depends on several parameters, namely number of particles n, inertia weight w, cognitive parameter c1 and social parameter c2 . Trial experiments suggested that the global best solution could be achieved with controlling parameters w min = 0.4, w max = 0.9, c 1 = 1.3 and c 2 = 1.5 without noise data and w min = 0.7, w max = 0.9, c 2 = 0.8 and c 2 = 1.4 for data with 10% noise. © 2019 Published under licence by IOP Publishing Ltd.

Affiliations

Department of Geophysical Engineering, Faculty of Engineering, Universitas Syiah Kuala, Darussalam, Banda Aceh, 2311, Indonesia; Department of Physics, Faculty of Mathematics and Natural Sciences, Universitas Syiah Kuala, Darussalam, Banda Aceh, 2311, Indonesia

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