### ASA 130th Meeting - St. Louis, MO - 1995 Nov 27 .. Dec 01

## 2pPA7. Experimental determination of the linear and nonlinear dynamic
moduli of rock from quasistatic measurements.

**L. Zhu
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*Phys. Dept., New Mexico State Univ., Las Cruces, NM 88003
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**R. A. Guyer
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*Univ. of Massachusetts, Amherst, MA 01003
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**K. R. McCall
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*Los Alamos Natl. Lab., Los Alamos, NM 87545
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**G. N. Boitnott
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*New England Res., Inc., White River Junction, VT 05001
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**L. B. Hilbert, Jr.
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*Univ. of California, Berkeley, CA 94720
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**T. J. Plona
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*Schlumberger-Doll Res., Ridgefield, CT 06877
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The central construct of a new theory of the elastic behavior of
consolidated materials is the density in Preisach--Mayergoyz (PM) space. PM
space is an abstract space in which the response of the mechanical units in the
material to changes in stress state can be tracked. The theory provides a recipe
for using quasistatic data to determine (rho)[inf PM], the density of mechanical
units in PM space. This recipe has been applied to quasistatic stress/strain
data on three sandstones samples: (a) Berea I, (b) Berea II, and (c) Castlegate.
The density of mechanical units (rho)[inf PM] was found for each sample. From
(rho)[inf PM] the dynamic behavior of the samples can be predicted. Using the
experimentally determined (rho)[inf PM] for each of the three samples the strain
response to complicated stress protocols is predicted and the linear and
nonlinear dynamic moduli of the samples are found as a function of pressure. The
predictions agree well with experiments that test them.