G. Yang et al., ANALYSIS OF PREFERENTIAL FLOW PATHS USING GRAPH-THEORY, International journal of rock mechanics and mining sciences & geomechanics abstracts, 30(7), 1993, pp. 1423-1429
Conceptually, both to understand the transport of single phase and mul
ti-phase fluids through rocks and to analyze it, we require constituti
ve relations between fluid capillary pressures, relative saturation an
d relative permeability. Recently, an important phenomenon has been re
cognized, namely the existence of 'preferred paths' that carry a dispo
rtional share of the flow. This phenomenon is likely to be even more p
ronounced for two-phase flow and if the networks are irregular and con
ductances (throat diameters) are spatially correlated This study aims
to provide a better understanding of fluid flow than do currently exis
ting network models through numerical experiments on irregular network
s, with different stochastic and spatially correlated properties using
graph theory techniques.