NIP (model theory)
The Fowler–Yang equations[1] for pressure solution[2] and viscous compaction in sedimentary basins can be written as:
where u is the Darcy velocity and is the porosity of the porous media. In addition, 0 < λ < 105 is a constant, and while m = 8. This system is highly nonlinear, which can explain the transition from one behaviour to another in pressure solution.
References
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- ↑ Fowler A. C. and Yang X. S., Pressure solution and viscous compaction in sedimentary basins, J. Geophys. Res., B104, 12898–12997 (1999).
- ↑ Angevine C. L. and Turcotte D. L., Porosity reduction by pressure solution: a theoretical model for quartz arenites, Geol. Soc. Am. Bull., vol. 94, 1129–1134 (1983)