Automatic Selection of Dispersion Curves Based on a Weighted Probability Scheme

Abstract

Research Article| February 13, 2019 Automatic Selection of Dispersion Curves Based on a Weighted Probability Scheme Roberto Ortega; Roberto Ortega aCentro de Investigación Científica y de Educación Superior de Ensenada—Unidad La Paz, Miraflores 334, Col. Bellavista, 23050 La Paz, Baja California Sur, Mexico, ortega@cicese.mx, carciumaru@cicese.mx Search for other works by this author on: GSW Google Scholar Dana Carciumaru; Dana Carciumaru aCentro de Investigación Científica y de Educación Superior de Ensenada—Unidad La Paz, Miraflores 334, Col. Bellavista, 23050 La Paz, Baja California Sur, Mexico, ortega@cicese.mx, carciumaru@cicese.mx Search for other works by this author on: GSW Google Scholar Eduardo Huesca; Eduardo Huesca bCONACyT‐Centro de Investigación Científica y de Educación Superior de Ensenada—Unidad La Paz, Miraflores 334, Col. Bellavista, 23050 La Paz, Baja California Sur, Mexico, ehuesca@gmail.com, edahigure@gmail.com Search for other works by this author on: GSW Google Scholar Edahí Gutierrez Edahí Gutierrez bCONACyT‐Centro de Investigación Científica y de Educación Superior de Ensenada—Unidad La Paz, Miraflores 334, Col. Bellavista, 23050 La Paz, Baja California Sur, Mexico, ehuesca@gmail.com, edahigure@gmail.com Search for other works by this author on: GSW Google Scholar Seismological Research Letters (2019) 90 (2A): 623–632. https://doi.org/10.1785/0220180282 Article history first online: 13 Feb 2019 Cite View This Citation Add to Citation Manager Share Icon Share Facebook Twitter LinkedIn MailTo Tools Icon Tools Get Permissions Search Site Citation Roberto Ortega, Dana Carciumaru, Eduardo Huesca, Edahí Gutierrez; Automatic Selection of Dispersion Curves Based on a Weighted Probability Scheme. Seismological Research Letters 2019;; 90 (2A): 623–632. doi: https://doi.org/10.1785/0220180282 Download citation file: Ris (Zotero) Refmanager EasyBib Bookends Mendeley Papers EndNote RefWorks BibTex toolbar search Search Dropdown Menu toolbar search search input Search input auto suggest filter your search All ContentBy SocietySeismological Research Letters Search Advanced Search ABSTRACT In this article, we present a method to obtain dispersion curves using a Bayesian approach. This type of probabilistic analysis explores all possible results, and the final output is not unique but is expressed as a range of solutions. First, we describe how to obtain dispersion curves using manual procedures; then, we present a method that uses a probabilistic approach. The main idea is to use previous knowledge of a shear‐wave velocity structure to obtain a prior dispersion curve while simultaneously computing the expectation function of the spectral amplitude for a range of focal mechanisms. Then, these dispersion curves and expectation functions are simultaneously compared with the observed data, and the selected peaks of the dispersion curve are chosen using a weighted probability decision. In these two stages, we used a probabilistic approach based on Markov chain Monte Carlo (MCMC) with the Metropolis–Hasting sampling algorithm. The entire process is a Bayesian inference; thus, it is updated whenever new information is available in such a way that the result becomes a prior. You do not have access to this content, please speak to your institutional administrator if you feel you should have access.