2018/04/06 by Matthias Neumann, Neumann, Matthias, Christian Hirsch +7
Computer Science · Engineering · #Geochemistry and Geologic Mapping #Hydrocarbon exploration and reservoir analysis
paper · pdf · doi:10.48550/arxiv.1804.02218
We investigate the problem of estimating geodesic tortuosity and\nconstrictivity as two structural characteristics of stationary random closed\nsets. They are of central importance for the analysis of effective transport\nproperties in porous or composite materials. Loosely speaking, geodesic\ntortuosity measures the windedness of paths whereas the notion of\nconstrictivity captures the appearance of bottlenecks resulting from narrow\npassages within a given materials phase. We first provide mathematically\nprecise definitions of these quantities and introduce appropriate estimators.\nThen, we show strong consistency of these estimators for unboundedly growing\nsampling windows. In order to apply our estimators to real datasets, the extent\nof edge effects needs to be controlled. This is illustrated using a model for a\nmulti-phase material that is incorporated in solid oxid fuel cells.\n