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Analysis of the variability of a two-dimensional finite strain estimate

Publication ,  Journal Article
Choudhury, KR
Published in: Mathematical Geosciences
January 1, 2009

Finite strain estimation is a widely used technique for the study of rock deformation in structural geology. One particular algorithm proposed by Shimamoto and Ikeda uses the 'average shape matrix' of deformed markers. This paper provides a detailed error analysis for resulting strain estimates in two dimensions. When the number of markers exceeds 100, estimators of components of the strain tensor are shown to have an approximately Gaussian distribution with variances that increase with their mean. Equal variance estimators are obtained by applying a log transform for the elongation and an arcsin transformation for the orientation estimates. Confidence interval formulae for strain tensor components are proposed. Lithology specific constants arising in these formulae are estimated from undeformed samples. The results are validated by application to simulated data as well as observational data from thin sections of sandstone sampled from SE Ireland. © International Association for Mathematical Geology 2008.

Duke Scholars

Published In

Mathematical Geosciences

DOI

EISSN

1874-8953

ISSN

1874-8961

Publication Date

January 1, 2009

Volume

41

Issue

5

Start / End Page

535 / 553

Related Subject Headings

  • Geochemistry & Geophysics
  • 0914 Resources Engineering and Extractive Metallurgy
  • 0403 Geology
  • 0102 Applied Mathematics
 

Citation

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ICMJE
MLA
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Choudhury, K. R. (2009). Analysis of the variability of a two-dimensional finite strain estimate. Mathematical Geosciences, 41(5), 535–553. https://doi.org/10.1007/s11004-008-9185-1
Choudhury, K. R. “Analysis of the variability of a two-dimensional finite strain estimate.” Mathematical Geosciences 41, no. 5 (January 1, 2009): 535–53. https://doi.org/10.1007/s11004-008-9185-1.
Choudhury KR. Analysis of the variability of a two-dimensional finite strain estimate. Mathematical Geosciences. 2009 Jan 1;41(5):535–53.
Choudhury, K. R. “Analysis of the variability of a two-dimensional finite strain estimate.” Mathematical Geosciences, vol. 41, no. 5, Jan. 2009, pp. 535–53. Scopus, doi:10.1007/s11004-008-9185-1.
Choudhury KR. Analysis of the variability of a two-dimensional finite strain estimate. Mathematical Geosciences. 2009 Jan 1;41(5):535–553.
Journal cover image

Published In

Mathematical Geosciences

DOI

EISSN

1874-8953

ISSN

1874-8961

Publication Date

January 1, 2009

Volume

41

Issue

5

Start / End Page

535 / 553

Related Subject Headings

  • Geochemistry & Geophysics
  • 0914 Resources Engineering and Extractive Metallurgy
  • 0403 Geology
  • 0102 Applied Mathematics