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• W2890317089 abstract "In many geophysical applications, viscoelastic (VE) model is applied to heterogeneous media, such as in studies of seismic waves within the layered Earth, models of tidal deformations of planetary bodies or mechanical testing of rock samples in the laboratory. However, for heterogeneous media or finite bodies, VE model contains one important omission, which consists in disregarding the boundary conditions (BCs) for internal-deformation variables. Internal variables are present in almost all anelastic rheologies, and their examples include filtration flows in porous rock and memory variables commonly used in VE numerical modelling. Similar to poroelasticity, internal variables in arbitrary VE models are sensitive to BCs on material-property contrasts. With several selections of BCs typical in mechanics (‘closed’, ‘open’, ‘mixed’ and ‘continuity’), the effective modulus (stress/strain ratio) and Q−1 (strain–stress phase lag) vary from near-elastic to significantly anelastic. For closed and mixed BCs, the Q−1 can be strongly spatially variable and negative within parts of the body and at certain frequencies. These observations are illustrated by rigorous solutions for an anelastic layer with Maxwell's or Standard Linear Solid rheologies enclosed within an elastic space. In the conventional VE model, internal BCs are not stated explicitly but nevertheless implied by assuming the absence of non-VE deformation modes, which means internal variables not interacting with material-property contrasts and boundaries of the body. However, non-VE modes should exist, and they strongly modify the behaviour of the composite medium. The uncertainties of BCs in the VE model are somewhat analogous to the well-known difficulty of differentiating between the intrinsic and scattering Qs for seismic waves. Thus, although predicting the basic attenuation phenomena, the VE model describes heterogeneous anelastic media incompletely and consequently inaccurately. To overcome such shortcomings of the VE model, first-principle physical approaches are required for describing rock anelasticity." @default.
• W2890317089 created "2018-09-27" @default.
• W2890317089 creator A5008251653 @default.
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• W2890317089 date "2018-09-18" @default.
• W2890317089 modified "2023-10-16" @default.
• W2890317089 title "Internal boundary conditions in heterogeneous anelastic media" @default.
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• W2890317089 doi "https://doi.org/10.1093/gji/ggy387" @default.
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