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| Titel |
A new theoretical paradigm to describe hysteresis, discrete memory and nonlinear elastic wave propagation in rock |
| VerfasserIn |
K. R. McCall, R. A. Guyer |
| Medientyp |
Artikel
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| Sprache |
Englisch
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| ISSN |
1023-5809
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| Digitales Dokument |
URL |
| Erschienen |
In: Nonlinear Processes in Geophysics ; 3, no. 2 ; Nr. 3, no. 2, S.89-101 |
| Datensatznummer |
250000863
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| Publikation (Nr.) |
 copernicus.org/npg-3-89-1996.pdf |
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| Zusammenfassung |
| The velocity of sound in rock is a
strong function
of pressure, indicating that wave propagation in rocks
is very nonlinear. The quasistatic elastic properties of
rocks axe
hysteretic, possessing discrete memory. In this paper
a new
theory is developed, placing all of these
properties (nonlinearity, hysteresis, and memory) on equal
footing. The
starting point of the new theory is closer to a
microscopic
description of a rock than the starting point
of the
traditional five-constant theory of nonlinear
elasticity.
However, this starting point (the number density
�? of generic
mechanical elements in an abstract space) is
deliberately
independent of a specific microscopic model. No
prejudice is
imposed as to the mechanism causing nonlinear response
in the
microscopic mechanical elements. The new theory (1)
relates
suitable stress-strain measurements to the number
density �?
and (2) uses the number density �? to find
the behaviour of
nonlinear elastic waves. Thus the new theory provides
for the
synthesis of the full spectrum of elastic behaviours of
a rock.
Early development of the new theory is sketched
in this
contribution. |
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