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Transport properties of heterogeneous materials derived from Gaussian random fields: Bounds and simulation
Abstract
We investigate the effective conductivity (${\mathrm{\ensuremath{\sigma}}}_{\mathit{e}}$) of a class of amorphous media defined by the level cut of a Gaussian random field. The three point solid-solid correlation function is derived and utilized in the evaluation of the Beran-Milton bounds. Simulations are used to calculate ${\mathrm{\ensuremath{\sigma}}}_{\mathit{e}}$ for a variety of fields and volume fractions at several different conductivity contrasts. Relatively large differences in ${\mathrm{\ensuremath{\sigma}}}_{\mathit{e}}$ are observed between the Gaussian media and the identical overlapping sphere model used previously as a ``model'' amorphous medium. In contrast, ${\mathrm{\ensuremath{\sigma}}}_{\mathit{e}}$ shows little variability between different Gaussian media.
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“Similar geostatistical methods are often used for simulating uncertainties and/or unknown heterogeneity on surfaces or materials, flow routing algorithms, etc. [57,58].”
From Past human mobility corridors and least-cost path models south of general carrera lake, central west patagonia (46° S, south america) (2022) · cites this paper as [57]
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Cites
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Cited by
Moreno-Meynard, P., Méndez, C., Irarrázaval, I., & Nuevo-Delaunay, A. (2022) · Land · doi:10.3390/land11081351 · Cited by 11
Metadata
- Authors
- Roberts, A. P., & Teubner, M.
- Venue
- Physical Review E
- Publisher
- American Physical Society (APS)
- Published
- 1995-05-01
- Volume
- 51
- Issue
- 5
- Pages
- 4141-4154
- ISSN
- 1063-651X
- 1095-3787
- Cited by
- 153
- References
- 57
- Language
- en
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
