Отправлено: 20.09.13 10:53. Заголовок: Digital rock physics benchmarks—part II: Computing effective properties

Digital rock physics benchmarks—part II: Computing effective properties
Heiko Andr, Nicolas Combaret, Jack Dvorkin, Erik Glatt,, Junehee Han, Matthias Kabel,
Youngseuk Keehm, Fabian Krzikalla, Minhui Lee, Claudio Madonna, Mike Marsh

Abstract
This is the second and final part of our digital rock physics (DRP) benchmarking study. We use
segmented 3-D images (one for Fontainebleau, three for Berea, three for a carbonate, and one for a
sphere pack) to directly compute the absolute permeability, the electrical resistivity, and elastic moduli.
The numerical methods tested include a finite-element solver (elastic moduli and electrical conductiv
ity), two finite-difference solvers (elastic moduli and electrical conductivity), a Fourier-based
Lippmann-Schwinger solver (elastic moduli), a lattice-Boltzmann solver (hydraulic permeability), and
the explicit-jump method (hydraulic permeability and electrical conductivity). The set-ups for these
numerical experiments, including the boundary conditions and the total model size, varied as well. The
results thus produced vary from each other. For example, the highest computed permeability value may
differ from the lowest one by a factor of 1.5. Nevertheless, all these results fall within the ranges
consistent with the relevant laboratory data. Our analysis provides the DRP community with a range of
possible outcomes which can be expected depending on the solver and its setup.

Computers & Geosciences 50 (2013) 33–43