# Fowler–Yang equations

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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 < 10^{5} 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

- ↑ 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)