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Frequency‐dependent properties of multiphase materials: origins, needs, and effective use in geophysics and modern synthetic materials.
Author(s) -
Kurzeja Patrick S.,
Steeb Holger
Publication year - 2014
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201410334
Subject(s) - microscale chemistry , porosity , representation (politics) , fluid dynamics , porous medium , geophysics , mechanics , frequency dependence , low frequency , multiphase flow , geology , mineralogy , materials science , statistical physics , physics , geotechnical engineering , mathematics , nuclear magnetic resonance , astronomy , politics , political science , law , mathematics education
Dynamic processes in multiphase materials, e.g., fluid‐filled sandstones or bones, are described by models that include frequency‐dependent properties. The origin of such properties is introduced as an averaged representation of frequency‐dependent microscale motions. In addition to classical frequency‐dependence of fluid flow, the influence of weak, high‐porosity materials and fluid‐fluid interfaces is discussed. The relevant characteristic numbers are contrasted and specific situations are demonstrated, in which frequency dependence has to be considered or not. (© 2014 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)