Hysteresis, Discrete Memory, and Nonlinear Wave Propagation in Rock: A New Paradigm

Journal Article · Mon Apr 24 00:00:00 EDT 1995 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.74.3491· OSTI ID:44887

Guyer, R A; McCall, K R ^[1]; Boitnott, G N ^[2]

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1. Earth and Environmental Sciences Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)
2. New England Research Inc., 76 Olcott Drive, White River Junction, Vermont 05001 (United States)

The structural elements in a rock are characterized by their density in Preisach-Mayergoyz space (PM space). This density is found for a Berea sandstone from stress-strain data and used to study the response of the sandstone to elaborate pressure protocols. Hysteresis with discrete memory, in agreement with experiment, is found. The relationship between strain, quasistatic modulus, and dynamic modulus is established. Nonlinear wave propagation, the production of copious harmonics, and nonlinear attenuation are demonstrated. PM space is shown to be the central construct in a new paradigm for the description of the elastic behavior of consolidated materials.

• Research Organization: Los Alamos National Laboratory
• DOE Contract Number: W-7405-ENG-36
• OSTI ID: 44887
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 17 Vol. 74; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ATTENUATION
HYSTERESIS
NONLINEAR PROBLEMS
ROCKS
SANDSTONES
WAVE PROPAGATION