Seismic wave propagation in inhomogeneous and anisotropic porous media
Bibliographic record
Abstract
A set of macroscopic equations of motion for inhomogeneous and anisotropic porous media is constructed. The porous medium considered consists of an elastic solid with interconnected void spaces filled with a chemically inert viscous fluid. The constituents are assumed homogeneous in their material properties, but the unperturbed porosity is spatially varying and the distributions of pores and interfaces are uneven. The physics at the pore scale, which underpins the approach, is never lost sight of. Although very different in approach from that taken by Biot, a close correspondence to the Biot (1962) theory is established in this paper. The dynamic perturbation in porosity accompanying deformation is treated as kinematically independent of the macroscopic solid displacement field and the macroscopic fluid velocity field. The viscous loss within the pore fluid, which is absent in the Biot approach, is not excluded here. For the most general case, 27 independent macroscopic parameters enter into the macroscopic constitutive equations, not counting the spatial gradient of unperturbed porosity itself, which appears explicitly at various places. Whereas the elastic constants of the constituents are contained within Biot's parameters, here they are factored out. Thus, the parameters are directly linked to the manner in which distributed pores and interfaces control the deformation.
Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.
How this classification was reachedexpand
Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".