Modeling the nonlinear hysteretic response in DAE experiments of Berea sandstone: A case-study

Journal Article · Tue Mar 31 04:00:00 EDT 2015 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.4914774· OSTI ID:22391220

Pecorari, Claudio ^[1]

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1. Hesjakollen 111 A, 5142 Bergen (Norway)

Dynamic acousto-elasticity (DAE) allows probing the instantaneous state of a material while the latter slowly and periodically is changed by an external, dynamic source. In DAE investigations of geo-materials, hysteresis of the material's modulus defect displays intriguing features which have not yet been interpreted in terms of any specific mechanism occurring at atomic or mesoscale. Here, experimental results on dry Berea sandstone, which is the rock type best investigated by means of a DAE technique, are analyzed in terms of three rheological models providing simplified representations of mechanisms involving dislocations interacting with point defects which are distributed along the dislocations' core or glide planes, and microcracks with finite stiffness in compression. Constitutive relations linking macroscopic strain and stress are derived. From the latter, the modulus defect associated to each mechanism is recovered. These models are employed to construct a composite one which is capable of reproducing several of the main features observed in the experimental data. The limitations of the present approach and, possibly, of the current implementation of DAE are discussed.

• OSTI ID: 22391220
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 1650; ISSN APCPCS; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BUILDING MATERIALS
COMPRESSION
COMPUTERIZED SIMULATION
CRACKS
DISLOCATIONS
ELASTICITY
FLEXIBILITY
HYSTERESIS
MATERIALS TESTING
NONLINEAR PROBLEMS
PERIODICITY
POINT DEFECTS
PROBES
SANDSTONES
STRAINS
STRESSES