The subsurface environment beneath the Municipality of Bologna, Italy consists of two aquifers which are separated vertically by an impermeable barrier called aquitard Alpha. The upper aquifer contains water that shows substantial contamination from industrial pollutants. The lower aquifer is relatively pristine and serves about 80% of the municipality's industrial and drinking water needs. Hence, it is imperative that planners understand where along aquitard Alpha there exists potential for water to move from the upper to the lower aquifer, which could lead to contamination of the city's major water supply. In order to better understand the connectivity between these two aquifers, we carry out a statistical analysis in which the aquitard is represented as a bivariate spatial process which simultaneously models its thickness as well as its permeability. The permeability component of the process gives a spatial map of the probability of high permeability regions within aquitard Alpha. This map is then cross referenced with other forms of data regarding the hydrology of the region.