Generation, migration, trapping, and discovery of petroleum,
as well as its primary and enhanced recovery, depend to a large extent
upon the geometry of the porous microstructure. The determination of
petrophysical rock properties is difficult because of their complexity
ranging from apparent random structures to configurations with
heterogeneities at different scales. We present a method of visualizing
a realistic 3D representation of these structures. While rock
descriptions always contain many deterministic elements and features,
some elements are most conveniently generated by stochastic models.
The primary purpose of this study was to survey ways in which stochastic
modeling might be used to create rock images, obtain realistic representation
of rock textures, and provide basic model control and visualization capability.
We use an "octree" data structure to represent rock models of arbitrary
precision. Objects created using this technique are collections of
subvolumes of variable sizes each having the same physical properties.
A reconstruction of porous media results in a pore network where the total
porosity is the same as that of the actual rock.
The model and techniques presented have been designed in an extensible
fashion to enable the development of algorithms for a simulation of
geometrical models, along with other simulated properties of the rock
models such as electrical resistivity, fluid flow, permeability, and
The developed methodology may be used to do: quick evaluation of rock
parameters, calibration, teaching, determination of the estimation
sensitivity, and testing of the computer software for image analysis.
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