Abstract

Abstract We consider the computation of ion-exchange when an ambient groundwater of one uniform composition is displaced by an injection solution of a constant but differing composition. The problem is to sort out the composition change from the initial to the injected compositions. An analytical method for the n -dimensional homovalent system is described by Rhee, Aris and Amundson (1970). Conditions are given under which this method can be used to calculate an approximate solution to the plateau concentrations in the n -dimensional heterovalent system. Further, two algorithms for the three-component heterovalent system are derived from Charbeneau (1988). Finally, a discretisation method is introduced in which the concept of adaptive mesh refinement is applied. Such a method can be used in more complex situations and it still can represent sharp moving fronts. The results for the different approximate computations are compared for a real-life problem as found by Valocchi, Street and Roberts (1981).

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