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:
![{\displaystyle {\frac {\partial \phi }{\partial t}}={\frac {\partial }{\partial z}}[(1-\phi )u],}](https://wikimedia.org/api/rest_v1/media/math/render/svg/eec40c1222afeed7e1b6b8d82b35d3e30392d854)
![{\displaystyle u=\lambda \phi ^{m}\left[{\frac {\partial ^{2}u}{\partial z^{2}}}-(1-\phi )\right],}](https://wikimedia.org/api/rest_v1/media/math/render/svg/e9e762dcbe117f7484bd28af6edcfdc620fdff32)
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[edit]
- ↑ 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)
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