Deterministic vs. Stochastic Petrophysical Modeling

Deterministic techniques are typically used when dense data is available (e.g., many wells, wells + seismic). The deterministic methods yield a single estimated result (i.e., they do not produce multiple realizations).  

Stochastic techniques are often in conditions where sparse data is present. These methods produce a possible result and can be used to produce multiple equally probable realizations.