Abstract - Equations describing facies proportions and amalgamation ratios are derived for randomly
placed objects belonging to two or three foreground facies embedded in a
background facies, as a function of the volume fractions and object thicknesses of
independent facies models combined in a stratigraphically meaningful order. The
equations are validated using one-dimensional continuum models. Evaluation of the
equations reveals a simple relationship between an effective facies proportion and
an effective amalgamation ratio, both measured as a function only of the facies in
question and the background facies. This relationship provides a firm analytical basis
for applying the compression algorithm to multi-facies object-based models. A set of
two-dimensional cross-sectional models illustrates the approach, which allows models
to be generated with realistic object stacking characteristics defined independently for
each facies in a multi-facies object-based model.
Mathematical Geosciences 55, 461-496, doi: https://doi.org/10.1007/s11004-023-10046-0, 2023.