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A Model for the Simultaneous Production and Diffusion of Ferrous Iron in Submerged Soils¹

ABSTRACT

The model describes the distribution of dissolved ferrous iron as a function of time and depth in a flooded soil profile consisting of three distinct horizons. In this soil profile, the production of dissolved ferrous iron is high and constant with depth in the surface horizon, low and constant with depth in the subsoil, and varies linearly with depth between these two values in the intermediate horizon. The Fe²⁺ concentration is found as the difference of the rate of ferrous iron production, integrated over time and a diffusion term consisting of an infinite series of the third and fifth repeated integral of the complementary error function. The parameters considered are (i) three constants specifying the dependence of the ferrous iron formation on time and depth, (ii) the depths of the three horizons, and (iii) the apparent diffusion coefficient. As shown by one example, the general solution can be greatly simplified for many cases of practical interest. The inherent assumptions of the model and its application to actual water-logged soils are discussed.

¹ Contribution from the Department of Soils & Fertilizers, and the Department of Soil Science & Geology, Agricultural University, Wageningen, The Netherlands.

² Soil Scientists, Dept. of Soils and Fertilizers, and Dept. of Soil Science and Geology, respectively, Agricultural Univ., P. O. Box 37, Wageningen, The Netherlands.

Received for publication March 3, 1975. Accepted for publication June 23, 1975.