Method and apparatus for mapping uncertainty and generating a cube based on conditional simulation of random variables

摘要

A method is presented for generating a probability map, a cutoff map, and a confidence limit map in one single operation (16). The new method can also generate a cube representing a cubic volume of earth formation by using the same method for generating the aforementioned maps. This is accomplished by: gridding a cross section (22); Kriging the gridded cross section (24) thereby producing a plurality of expected values and corresponding plurality of standard deviation; generating a plurality of probability density functions (26); integrating each of the probability density functions (28) thereby generating a plurality of cumulative distribution functions; choosing a value from each of the cumulative distribution functions (35) associated with each of the intersections of the gridded cross section; and assigning such value, and a unique color, to its associated intersection of the gridded cross section, thereby generating a map illustrating the characteristics of the cross section through the earth formation.