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Frequency-Wavenumber Analysis

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Encyclopedia of Mathematical Geosciences

Part of the book series: Encyclopedia of Earth Sciences Series ((EESS))

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Definition

Frequency-wavenumber analysis, also known as frequency-wavenumber spectral analysis, originated in atmospheric physics where it is used to partition waves into standing and traveling varieties, the advantage of which is extraction of the different velocities of the traveling waves. This approach uses classical Fourier-series based methods commonly used in other branches of science. The common output of frequency-wavenumber analysis is a diagram in which frequency is plotted horizontally and a measure of spectral density along the vertical axis. Diagrams of this type are useful in geoscience, especially in multifractal modeling and for the study of data obtained from homogeneous geologic entities sampled equidistantly along straight lines; e.g., by drilling bore-holes.

Introduction

Cressie and Wikle (2011) have pointed out that statistics for spatiotemporal data constitute the next frontier in applications of mathematical statistics to geoscientific data. Much progress in...

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Author information

Authors and Affiliations

  1. Geological Survey of Canada, Ottawa, ON, Canada

    Frits Agterberg

Authors
  1. Frits Agterberg
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Editor information

Editors and Affiliations

  1. System Science & Informatics Unit, Indian Statistical Institute- Bangalore Centre, Bangalore, India

    B. S. Daya Sagar

  2. Insititue of Earth Sciences, China University of Geosciences, Beijing, China

    Qiuming Cheng

  3. School of Natural and Built Environment, Queen's University Belfast, Belfast, UK

    Jennifer McKinley

  4. Canada Geological Survey, Ottawa, ON, Canada

    Frits Agterberg

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Agterberg, F. (2022). Frequency-Wavenumber Analysis. In: Daya Sagar, B.S., Cheng, Q., McKinley, J., Agterberg, F. (eds) Encyclopedia of Mathematical Geosciences. Encyclopedia of Earth Sciences Series. Springer, Cham. https://doi.org/10.1007/978-3-030-26050-7_127-1

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  • DOI: https://doi.org/10.1007/978-3-030-26050-7_127-1

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-26050-7

  • Online ISBN: 978-3-030-26050-7

  • eBook Packages: Springer Reference Earth and Environm. ScienceReference Module Physical and Materials ScienceReference Module Earth and Environmental Sciences

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