This paper outlines the governing relationships of nonlinear finite strain consolidation. A short review of current literature is presented. Nonlinear finite strain consolidation theory is applied to the analysis of the slow deposition of Gulf of Mexico Holocene sediments. It is shown that the conventional means of calculating rates of sediment accumulation are highly inaccurate. It is further shown that the state of effective stress and excess pore-water pressure, as calculated by nonlinear finite strain theory, is substantially different than when calculated by conventional Terzaghi-Frohtich theory.