Power law distribution of susceptibility and density and its relation to seismic properties: An example from the German Continental Deep Drilling Program (KTB)

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Authors

  • A. R. Bansal
  • G. Gabriel
  • V. P. Dimri

External Research Organisations

  • Leibniz Institute for Applied Geophysics (LIAG)
  • National Geophysical Research Institute (NGRI)
  • Gujarat Energy Research & Management Institut (GERMI)
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Details

Original languageEnglish
Pages (from-to)123-128
Number of pages6
JournalJournal of applied geophysics
Volume72
Issue number2
Early online date11 Aug 2010
Publication statusPublished - Oct 2010
Externally publishedYes

Abstract

We examine the nature of continental crust from the power law scaling behaviour of magnetic susceptibility and density variations. We analyze the data from the main hole of the German Continental Deep Drilling Program (KTB) using the Fast Fourier Transform (FFT) and the multitaper method. On the basis of depth-dependent behaviour of the calculated scaling exponents the KTB well can be divided into four zones of depth 0-0.8 km, 0.8-3.5 km, 3.5-7.7 km and 7.7-9.1 km which are also lithologically distinguishable. The scaling exponents for the susceptibility data correlate by 22-32% and 16-25% with the conversion log and the fracture density. In the case of density a correlation between the scaling exponent values and conversion log and the fracture density are found to be 19-45% and 44-66%, respectively. The multitaper method provides more reliable values of scaling exponents and calculated values are having higher correlation with the conversion log and fracture density than the FFT. The defined zones 3 and 4 are having lower values of scaling exponents and higher values of fractal dimension than the shallower sections. This observation indicates an increase of crustal heterogeneity in terms of fault or fracture density.

Keywords

    Density, Fractal, German Continental Deep Drilling Program (KTB), Magnetic susceptibility, Scaling exponent

ASJC Scopus subject areas

Cite this

Power law distribution of susceptibility and density and its relation to seismic properties: An example from the German Continental Deep Drilling Program (KTB). / Bansal, A. R.; Gabriel, G.; Dimri, V. P.
In: Journal of applied geophysics, Vol. 72, No. 2, 10.2010, p. 123-128.

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title = "Power law distribution of susceptibility and density and its relation to seismic properties: An example from the German Continental Deep Drilling Program (KTB)",
abstract = "We examine the nature of continental crust from the power law scaling behaviour of magnetic susceptibility and density variations. We analyze the data from the main hole of the German Continental Deep Drilling Program (KTB) using the Fast Fourier Transform (FFT) and the multitaper method. On the basis of depth-dependent behaviour of the calculated scaling exponents the KTB well can be divided into four zones of depth 0-0.8 km, 0.8-3.5 km, 3.5-7.7 km and 7.7-9.1 km which are also lithologically distinguishable. The scaling exponents for the susceptibility data correlate by 22-32% and 16-25% with the conversion log and the fracture density. In the case of density a correlation between the scaling exponent values and conversion log and the fracture density are found to be 19-45% and 44-66%, respectively. The multitaper method provides more reliable values of scaling exponents and calculated values are having higher correlation with the conversion log and fracture density than the FFT. The defined zones 3 and 4 are having lower values of scaling exponents and higher values of fractal dimension than the shallower sections. This observation indicates an increase of crustal heterogeneity in terms of fault or fracture density.",
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T2 - An example from the German Continental Deep Drilling Program (KTB)

AU - Bansal, A. R.

AU - Gabriel, G.

AU - Dimri, V. P.

N1 - Funding Information: We are thankful to the Council of Scientific and Industrial Research (CSIR), New Delhi , and the International Bureau of BMBF, Project Management Agency DLR, Germany , for financial support . We are thankful to Mark Pilkington, M. Fedi, T. Beilecke for useful discussion and Klaus Holliger (Editor- in-Chief), John A. Goff, and an anonymous reviewer for constructive criticism and thoughtful suggestions for improving the manuscript. ARB is thankful to the Director, NGRI for granting permission for publishing this paper.

PY - 2010/10

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N2 - We examine the nature of continental crust from the power law scaling behaviour of magnetic susceptibility and density variations. We analyze the data from the main hole of the German Continental Deep Drilling Program (KTB) using the Fast Fourier Transform (FFT) and the multitaper method. On the basis of depth-dependent behaviour of the calculated scaling exponents the KTB well can be divided into four zones of depth 0-0.8 km, 0.8-3.5 km, 3.5-7.7 km and 7.7-9.1 km which are also lithologically distinguishable. The scaling exponents for the susceptibility data correlate by 22-32% and 16-25% with the conversion log and the fracture density. In the case of density a correlation between the scaling exponent values and conversion log and the fracture density are found to be 19-45% and 44-66%, respectively. The multitaper method provides more reliable values of scaling exponents and calculated values are having higher correlation with the conversion log and fracture density than the FFT. The defined zones 3 and 4 are having lower values of scaling exponents and higher values of fractal dimension than the shallower sections. This observation indicates an increase of crustal heterogeneity in terms of fault or fracture density.

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