In The Netherlands rising dampness problems due to flooding of rivers and high groundwater levels form an essential treat for monumental buildings and heritage. A number of cases exists where rising dampness problems lead to the deterioration of wall finishes but also of valuable wall paintings in churches and castles. To explore the problem and to look for solutions like drying regimes, measures like drainage etc. a physical model was needed to describe wetting and drying of masonry and other porous media by physical phenomena like capillary suction, rising damp, drying and evaporation. Within Comsol a model was built making use of equations for the capillary pressure in the vapour and liquid regime. The model was used to describe the risi...