Some solutions of the steady state diffusion of carbon dioxide through soils

Abstract

Solutions have been given for the steady state diffusion of carbon dioxide through soils. The general diffusion equation (2) has been solved under the assumption that the relation between the ratio D/D a (= ratio coefficient of diffusion in soil and in air) and the fraction of airfilled pores is given by (4). The course of the C0 2 -production ct in the soil profile is given by (5). In the case of sprinkler irrigation, the moisture content throughout the profile is assumed to be constant (field capacity). The solution is given by (6). If no sprinkler irrigation is applied, the solutions are given for the decrease of the air-content with the first and second power of the depth (eq. 9). For the first case the solution is given by eq. 20 and fig. 3, for the second case the solution is given by eq. 21 and fig. 4. The last two figures are based on a total C0 2 -production B = 154 mg m-2 hr-1.