This paper describes the concept of a generic spatially distributed numerical model that has been developed to contain and link sub-models of landfill processes in order to simulate solid waste degradation and gas generation in landfills. The model includes the simulation of the transport of leachate and gases, and the consolidation of the solid waste. The structure of the model consists of linked discrete constant volume elements. The paper outlines the theoretical background that provides the framework to contain the numerical procedures that make up the model. Details are also given of the approach to the modelling of the chemistry and microbiology of solid waste degradation.