Journal article
Role of Wavelets in the Physical and Statistical Modelling of Complex Geological Processes
Pure and applied geophysics, Vol.161(11), pp.2231-2244
12/2004
DOI: 10.1007/s00024-004-2560-z
Abstract
— Today, wavelets are recognized to have a wide range of useful properties that allow them to treat effectively multifacet problems, such as data compression, scale-localization analysis, feature extraction, statistics, numerical simulation, visualization, and communication. Second-generation wavelets represent a recent improvement of the wavelet algorithm, allowing for greater flexibility in the spatial domain and other computational advantages. We will show how these wavelets can be employed to extract large-scale coherent structures from (1) three-dimensional turbulent flows and (2) high Rayleigh number thermal convection. We will discuss the concept of modelling via decomposition into coherent and incoherent fields, taking into account the effect of the incoherent field via statistical modelling. We will discuss wavelet properties and how they can be utilized and integrated in handling large-scale problems in earthquake physics and other nonlinear phenomena in the geosciences.
Details
- Title: Subtitle
- Role of Wavelets in the Physical and Statistical Modelling of Complex Geological Processes
- Creators
- D. A Yuen - Minnesota Supercomputer Institute, Department of Geophysics University of Minnesota MinneapolisMNG Erlebacher - School of Computational Science and Information Technology, Department of Mathematics/Computer Science Florida State University TallahasseeFLO. V Vasilyev - Department of Mechanical Engineering University of Colorado BoulderCOD. E Goldstein - Department of Mechanical Engineering University of Colorado BoulderCOM Fuentes - Department of Statistics North Carolina State University RaleighNC
- Resource Type
- Journal article
- Publication Details
- Pure and applied geophysics, Vol.161(11), pp.2231-2244
- Publisher
- Birkhäuser-Verlag; Basel
- DOI
- 10.1007/s00024-004-2560-z
- ISSN
- 0033-4553
- eISSN
- 1420-9136
- Language
- English
- Date published
- 12/2004
- Academic Unit
- Statistics and Actuarial Science; President; Biostatistics
- Record Identifier
- 9984065768102771
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