A data fusion workstation provides an apparatus and method for realizing the full potential of geophysical and remote sensing by mathematically integrating sensors with each other. Sensor data from each of a plurality of sensor types are related mathematically to each other through a common site model to produce a fused picture with quantified accuracy. Using the concept of pseudo-data, information in sensor data is made equivalent to data in a statistical correlation model, allowing fusion of model information with sensor data during a data inversion step. The process of data fusion comprises several processing steps, which are executed by various microprocessors in a recursire/distributed/parallel-architecture platform. These steps comprise geophysical inversion, geostatistical Kriging, application of statistical information concepts, implementation of a square root information smoother, and application of likelihood techniques.