Solutions to a mixed boundary problem for soil gas flow

The principal soil gases of current concern to building are radon and landfill gas. The flow of these is generally thought to be dominated by viscous flow under a pressure gradient. This paper presents results for such pressure-driven flow of gas for problems relating to a building with a bare soil floor, for example below a suspended timber floor. The solutions address this problem in two dimensions as a mixed boundary problem. In the following papers this initial solution is then mapped conformally onto a more complex geometry, and the results are compared to another analytical result and an experiment.