This book contains selected contributions from the Workshop on Geostatistical Simulations, which was held in Fontainebleau, May 1993. The papers included are an accurate reflection of the current debates, applications and research interests in geostatistical simulation. Nowadays, in addition to the original turning bands method, there are several other established methods of geostatistical simulation. The continued development of these methods is driven by problems encountered in the implementation of existing methods, e.g. the search for more efficient algorithms, the desire to incorporate new variables such as (geometrical or geological) shapes, the perceived need to eliminate parametric approaches, and the new end-uses of simulated images or models. A number of the most important questions raised are: How are simulation methods and simulated images to be assessed? What properties of simulated images are inherent in the methods used to obtain the images? Are some methods more suitable to specific applications than others?