Research Article| February 13, 2019 The Use of Multiwavelets to Quantify the Uncertainty of Single‐Station Surface‐Wave Dispersion Estimates Christian Poppeliers; Christian Poppeliers aDepartment of Geophysics, Sandia National Laboratories, 1515 Eubank Drive, SE, Albuquerque, New Mexico 87123 U.S.A., cpoppel@sandia.gov Search for other works by this author on: GSW Google Scholar Leiph Preston Leiph Preston aDepartment of Geophysics, Sandia National Laboratories, 1515 Eubank Drive, SE, Albuquerque, New Mexico 87123 U.S.A., cpoppel@sandia.gov Search for other works by this author on: GSW Google Scholar Author and Article Information Christian Poppeliers aDepartment of Geophysics, Sandia National Laboratories, 1515 Eubank Drive, SE, Albuquerque, New Mexico 87123 U.S.A., cpoppel@sandia.gov Leiph Preston aDepartment of Geophysics, Sandia National Laboratories, 1515 Eubank Drive, SE, Albuquerque, New Mexico 87123 U.S.A., cpoppel@sandia.gov Publisher: Seismological Society of America First Online: 13 Feb 2019 Online Issn: 1938-2057 Print Issn: 0895-0695 © Seismological Society of America Seismological Research Letters (2019) 90 (2A): 754–764. https://doi.org/10.1785/0220180145 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 Christian Poppeliers, Leiph Preston; The Use of Multiwavelets to Quantify the Uncertainty of Single‐Station Surface‐Wave Dispersion Estimates. Seismological Research Letters 2019;; 90 (2A): 754–764. doi: https://doi.org/10.1785/0220180145 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 We introduce a method of estimating the uncertainty of surface‐wave group velocity as measured by a single seismic station. However, because the method is designed for single‐station analysis, it does not consider possible phase delay induced by the earthquake source. The method uses the multiwavelet transform to decompose the seismogram into a series of complex valued, mutually orthogonal, time‐frequency coefficients, which are enveloped and normalized and used to pick the group velocity. The group velocities from each of the multiwavelet decompositions are then analyzed using standard statistical techniques to obtain the mean group velocity as well as, for example, standard deviation about the mean. We demonstrate our method on a synthetic data set as well as two ambient‐noise cross correlograms. An inversion of the estimated group velocities (as well as their corresponding uncertainties) yields a 1D shear‐wave velocity profile of a basin‐and‐range structure in the southwestern United States. This article includes links to MATLAB (see Data and Resources) scripts implementing the methods described herein. You do not have access to this content, please speak to your institutional administrator if you feel you should have access.