Multiple-Porosity Model for the Transport of Reactive Contaminants in Fissured Soils with Nonequilibrium Partitioning

Abstract

A multiple-porosity model for the transport of reactive contaminants in fissured media with multiple-source, nonequilibrium partitioning is proposed, widening the scope of existing models. The proposed model extends the bicontinuum, dual-porosity concepts by combining five contaminant compartments: (1) mobile water in the fissures; (2) immobile water in the fissures; (3) water diffusing into the soil matrix; (4) sorption in the fissures; and (5) sorption in the soil matrix. Both instantaneous and nonequilibrium sorption are represented in the fissures. Mobile/immobile compartments, fissured soils, and nonequilibrium sorption have been hitherto treated separately or in pairs. Exchange of contaminants occurs between all compartments. Equations for the model are formulated and transformed into the Laplace domain. Solutions for the one-dimensional problem of a leaking storage tank overlying a fissured soil are found. The effects of the inclusion of various contaminant compartments and exchange parameters are analyzed through numerical experiments.