Power Spectral Density

  • Reference work entry
  • First Online:
Encyclopedia of Mathematical Geosciences

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

  • 18 Accesses

Definition

The power spectral is used in many branches of earth sciences to carry out various mathematical operations on geophysical data to understand various earth processes and earth structure. The power spectral density is a representation of power of the signal in the frequency domain. The representation of data in the frequency domain found many applications.

Introduction

The geophysical measurements carried out in space/time represent the variations of physical measures in space/time. Exploration geophysics aims to find information about the subsurface distribution of physical properties from the surface/air/ship/satellite measurements. The distribution of physical properties in the subsurface is further interpreted to find the anomalous bodies containing hydrocarbons, minerals, water or to understand the crustal structure of the Earth. These measurements are often carried out at equal intervals along the roads (profile mode) or in a grid pattern (2-D survey), depending on the...

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 649.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 699.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free ship** worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Bibliography

  • Bansal AR, Dimri VP (2001) Depth estimation from the scaling power spectral density of nonstationary gravity profile. Pure Appl Geophys 158:799–812. https://doi.org/10.1007/PL00001204

    Article  Google Scholar 

  • Bansal AR, Dimri VP (2014) Modelling of magnetic data for scaling geology. Geophys Prospect 62(2):385–396

    Article  Google Scholar 

  • Bath M (1974) Spectral analysis in geophysics. Elsevier Scientific, Amsterdam, p 563

    Google Scholar 

  • Blackman RB, Tukey JW (1958) The measurement of power spectra from the point of view of communication engineering. Dover Publications, New York, p 190

    Google Scholar 

  • Blakely RJ (1995) Potential theory in gravity & magnetic applications. Cambridge University Press

    Book  Google Scholar 

  • Burg JP (1967) Maximum entropy spectral analysis, presented at the 37th annual international SEG meeting November 1, in Oklahoma City

    Google Scholar 

  • Capon J, Greenfied RJ, Kolker RJ (1967) Multidimensional maximum-likelihood processing of a large aperture seismic array. Proc IEEE 55:192–211

    Article  Google Scholar 

  • Cooley JW, Tukey JW (1965) An algorithm for the machine calculation of complex Fourier series. Math Comput 19:297–301

    Article  Google Scholar 

  • Dimri VP (1992) Deconvolution and inverse theory: application to geophysical problems. Elsevier, Amsterdam

    Google Scholar 

  • Spector A, Grant FS (1970) Statistical model for interpreting aeromagnetric data. Geophysics 35(2):293–302

    Article  Google Scholar 

  • Thomson DJ (1982) Spectrum estimation and harmonic analysis. Proc IEEE 70:1055–1096

    Article  Google Scholar 

  • Turcotte DL (1997) Fractals and chaos in Geology ans Geophysics, 2nd edition, Cambridge University press

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Abhey Ram Bansal .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2023 Springer Nature Switzerland AG

About this entry

Check for updates. Verify currency and authenticity via CrossMark

Cite this entry

Bansal, A.R., Dimri, V.P. (2023). Power Spectral Density. 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/10.1007/978-3-030-85040-1_254

Download citation

Publish with us

Policies and ethics

Navigation