We report a new technique for torsional testing of materials under giga-pascal pressures, which uses a shearing module in a large-volume Paris–Edinburgh press in combination with high-resolution fast radiographic x-ray imaging. The measurement of the relative amplitude and phase lag between the cyclic displacement in the sample and a standard material (Al2O3) provides the effective shear modulus and attenuation factor for the sample. The system can operate in the 0.001–0.01 Hz frequency range and up to 5 GPa and 2000 K although high-temperature measurements may be affected by grain growth and plastic strain. Preliminary experimental results on San Carlos olivine are in quantitative agreement with previously reported Q−1 factors at lower pressure. This cyclic torsional loading method opens new directions to quantify the viscoelastic properties of minerals/rocks at seismic frequencies and under pressure–temperature conditions relevant to the Earth’s mantle for a better interpretation of seismological data.

1.
Adenis
,
A.
,
Debayle
,
E.
, and
Ricard
,
Y.
, “
Attenuation tomography of the upper mantle
,”
Geophys. Res. Lett.
44
,
7715
7724
, (
2017
).
2.
Aki
,
K.
and
Richards
,
P. G.
,
Quantitative Seismology, Theory and Methods
(
W. H. Freeman and Co.
,
San Francisco
,
1980
), p.
932
.
3.
Bagdassarov
,
N. S.
and
Dingwell
,
D. B.
, “
Frequency dependent rheology of vesicular rhyolite
,”
J. Geophys. Res.
98
(
B4
),
6477
6487
, (
1993
).
4.
Berckhemer
,
H.
,
Kampfmann
,
W.
,
Aulbach
,
E.
, and
Schmeling
,
H.
, “
Shear modulus and Q of forsterite and dunite near partial melting from forced oscillation experiments
,”
Phys. Earth Planet. Inter.
29
,
30
41
(
1982
).
5.
Besson
,
J. M.
,
Nelmes
,
R. J.
,
Hamel
,
G.
,
Loveday
,
J. S.
,
Weill
,
G.
, and
Hull
,
S.
, “
Neutron powder diffraction above 10-GPa
,”
Physica B
180-181
,
907
910
(
1992
).
6.
Cooper
,
R. F.
, “
Seismic wave attenuation: Energy dissipation in viscoelastic crystalline solids
,”
Rev. Mineral. Geochem.
51
,
253
290
(
2002
).
7.
Gribb
,
T. T.
and
Copper
,
R. F.
, “
Low-frequency shear attenuation in polycrystalline olivine: Grain boundary diffusion and the physical significance of the Andrade model for viscoelastic rheology
,”
J. Geophys. Res.
103
,
22267
22279
, (
1998
).
8.
Gueguen
,
Y.
,
Darot
,
M.
,
Mazot
,
P.
, and
Woirgard
,
J.
, “
Q−1 of forsterite single crystals
,”
Phys. Earth Planet. Inter.
55
,
254
258
(
1989
).
9.
Guéguen
,
Y.
and
Palciauskas
,
V.
,
Introduction to the Physics of Rocks
(
Princeton University Press
,
Princeton
,
1994
), p.
294
.
10.
Guéguen
,
Y.
,
Woirgard
,
J.
, and
Darot
,
M.
, “
Attenuation mechanisms and anelasticity in the upper mantle
,” in
Anelasticity in the Earth
, edited by
Stacey
,
F. D.
,
Paterson
,
M. S.
, and
Nicholas
,
A.
(
American Geophysical Union
,
Washington, DC
,
1981
), pp.
86
94
.
11.
Gung
,
Y.
and
Romanowicz
,
B.
, “
Q tomography of the upper mantle using three component long-period waveforms
,”
Geophys. J. Int.
157
,
813
830
(
2004
).
12.
Jackson
,
I.
, “
Progress in the experimental study of seismic wave attenuation
,”
Annu. Rev. Earth Planet. Sci.
21
,
375
406
(
1993
).
13.
Jackson
,
I.
, “
Properties of rocks and minerals—Physical origins of anelasticity and attenuation in rock
,” in
Treatise on Geophysics
, edited by
Schubert
,
G.
(
Elsevier
,
2007
), pp.
493
525
.
14.
Jackson
,
I.
,
Fitz Gerald
,
J. D.
,
Faul
,
U. H.
, and
Tan
,
B. H.
, “
Grain-size-sensitive seismic wave attenuation in polycrystalline olivine
,”
J. Geophys. Res.
107
,
ECV 5-1
, (
2002
).
15.
Jackson
,
I.
and
Paterson
,
M. S.
, “
A high-pressure high-temperature apparatus for studies of seismic wave dispersion and attenuation
,”
Pure Appl. Geophys.
141
,
445
466
(
1993
).
16.
Karato
,
S.
and
Spetzler
,
H. A.
, “
Defect microdynamics in minerals and solid-state mechanisms of seismic wave attenuation and velocity dispersion in the mantle
,”
Rev. Geophys.
28
,
399
421
, (
1990
).
17.
King
,
A.
,
Guignot
,
N.
,
Zerbino
,
P.
,
Boulard
,
E.
,
Desjardins
,
K.
 et al, “
Tomography and imaging at the PSICHE beamline of the SOLEIL synchrotron
,”
Rev. Sci. Instrum.
87
,
093704
(
2016
).
19.
Kono
,
Y.
,
Park
,
C.
,
Kenney-Benson
,
C.
,
Shen
,
G.
, and
Wang
,
Y.
, “
Toward comprehensive studies of liquids at high pressures and high temperatures: Combined structure, elastic wave velocity, and viscosity measurements in the Paris–Edinburgh cell
,”
Phys. Earth Planet. Inter.
228
,
269
280
(
2014
).
20.
Li
,
L.
and
Weidner
,
D. J.
, “
Effect of phase transitions on bulk dispersion and attenuation: Implications for the earth
,”
Nature
454
,
984
986
(
2008
).
21.
Mezouar
,
M.
 et al, “
Development of a new state-of-the-art beamline optimized for monochromatic single-crystal and powder X-ray diffraction under extreme conditions at the ESRF
,”
J. Synchrotron Radiat.
12
,
659
664
(
2005
).
22.
Ota
,
K.
and
Pezzotti
,
G.
, “
Anelastic and plastic relaxation in polycrystalline alumina and single-crystal sapphire
,”
J. Mater. Res.
11
,
2785
2789
(
1996
).
23.
Philippe
,
J.
,
Le Godec
,
Y.
,
Mezouar
,
M.
,
Berg
,
M.
,
Bromiley
,
G.
,
Bergame
,
F.
,
Perrillat
,
J. P.
,
Alvarez-Murga
,
M.
,
Morand
,
M.
,
Atwood
,
R.
,
King
,
A.
, and
Régnier
,
S.
,
High Pressure Res.
36
,
512
(
2016
).
24.
Pozgay
,
S.
,
Wiens
,
D.
,
Conder
,
J.
,
Shiobara
,
H.
, and
Sugioka
,
H.
, “
Seismic attenuation tomography of the Mariana subduction system: Implications for thermal structure, volatile distribution, and slow spreading dynamics
,”
Geochem., Geophys., Geosyst.
10
,
Q04X05
(
2009
).
25.
Speziale
,
S.
,
Zha
,
C.-S.
,
Duffy
,
T. S.
,
Hemley
,
R. J.
, and
Mao
,
H.-k.
, “
Quasi-hydrostatic compression of magnesium oxide to 52 GPa: Implications for the pressure-volume-temperature equation of state
,”
J. Geophys. Res.: Solid Earth
106
,
515
528
, (
2001
).
26.
Stachnik
,
J. C.
,
Abers
,
G. A.
, and
Christensen
,
D. H.
, “
Seismic attenuation and mantle wedge temperatures in the Alaska subduction zone
,”
J. Geophys. Res.
109
,
B10304
, (
2004
).
27.
Tan
,
B. H.
,
Jackson
,
I.
, and
Fitz Gerald
,
J. D.
, “
High temperature viscoelasticity of fine-grained polycrystalline olivine
,”
Phys. Chem. Miner.
28
,
641
664
(
2001
).
28.
Tisato
,
N.
and
Madonna
,
C.
, “
Attenuation at low seismic frequencies in partially saturated rocks: Measurements and description of a new apparatus
,”
J. Appl. Geophys.
86
,
44
53
(
2012
).
29.
Webb
,
S.
and
Jackson
,
I.
, “
Anelasticity and microcreep in polycrystalline MgO at high temperature: An exploratory study
,”
Phys. Chem. Miner.
30
,
157
166
(
2003
).
30.
Webb
,
S.
,
Jackson
,
I.
, and
Fitz Gerald
,
J. D.
, “
Viscoelasticity of the titanate perovskites CaTiO3 and SrTiO3 at high temperature
,”
Phys. Earth Planet. Inter.
115
,
259
291
(
1999
).
31.
Yoshino
,
T.
,
Yamazaki
,
D.
,
Tange
,
Y.
, and
Higo
,
Y.
, “
Short-period cyclic loading system for in situ X-ray observation of anelastic properties at high pressure
,”
Rev. Sci. Instrum.
87
,
105106
(
2016
).
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