@article{Fowler1998FastAS,
title={Fast and Slow Compaction in Sedimentary Basins},
author={Andrew C. Fowler and Xin-She Yang},
journal={SIAM Journal of Applied Mathematics},
year={1998},
volume={59},
pages={365-385}
}

A mathematical model of compaction in sedimentary basins is presented and analyzed. Compaction occurs when accumulating sediments compact under their own weight, expelling pore water in the process. If sedimentation is rapid or the permeability is low, then high pore pressures can result, a phenomenon which is of importance in oil drilling operations. Here we show that one-dimensional compaction can be described in its simplest form by a nonlinear diffusion equation, controlled principally by a… CONTINUE READING