Pa. Dowd, GEOLOGICAL CONTROLS IN THE GEOSTATISTICAL SIMULATION OF HYDROCARBON RESERVOIRS, Arabian journal for science and engineering, 19(2B), 1994, pp. 237-247
In many, if not most, reservoirs geological structures have an overrid
ing and controlling effect on the continuity and heterogeneity of petr
ophysical variables. In general terms, categorical variables influence
the variability of quantitative variables. As this influence is signi
ficant, and sometimes dominant, it is essential that it be incorporate
d either explicitly or implicitly in reservoir models. This paper desc
ribes a method of incorporating categorical control variables, such as
lithology, in the geostatistical simulation of quantitative variables
, such as porosity and permeability. The method described is basically
a co-conditional co-simulation version of sequential gaussian simulat
ion using a truncated gaussian distribution to model the category vari
able(s). The method is applied to the simulation of porosities in carb
onate rock in which lithology has a controlling influence on the spati
al distribution of porosities.