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| Titel |
Linear and nonlinear modulus surfaces in stress space, from stress-strain measurements on Berea sandstone |
| VerfasserIn |
M. Boudjema, I. B. Santos, K. R. McCall, R. A. Guyer, G. N. Boitnott |
| 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 ; 10, no. 6 ; Nr. 10, no. 6, S.589-597 |
| Datensatznummer |
250008215
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| Publikation (Nr.) |
 copernicus.org/npg-10-589-2003.pdf |
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| Zusammenfassung |
| The
elastic response of many rocks to quasistatic stress
changes is highly nonlinear and hysteretic, displaying discrete
memory. Rocks also display unusual nonlinear response to
dynamic stress changes. A model to describe the elastic
behavior of rocks and other consolidated materials is called
the Preisach-Mayergoyz (PM) space model. In contrast to
the traditional analytic approach to stress-strain, the PM
space picture establishes a relationship between the quasistatic data
and a number density of hysteretic mesoscopic elastic elements in the
rock. The number density allows us to make
quantitative predictions of dynamic elastic properties. Using
the PM space model, we analyze a complex suite of quasistatic
stress-strain data taken on Berea sandstone. We predict
a dynamic bulk modulus and a dynamic shear modulus surface
as a function of mean stress and shear stress. Our
predictions for the dynamic moduli compare favorably to
moduli derived from time of flight measurements. We derive a
set of nonlinear elastic constants and a set of constants that
describe the hysteretic behavior of the sandstone. |
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