Material coordinates relating to water flow in saturated swelling systems a
nd to solute movement during non-steady water flow in unsaturated porous ma
terials often simplify descriptions of these processes. Furthermore, they m
ay be formulated similarly and result in similar mathematical forms for the
flow equations. The analysis may be extended to solute transport during no
n-steady flow of water in a deforming system. These space-like coordinates
are simply defined and measured. Their use ensures material balance for all
entities of concern and, for some important situations, results in a non-l
inear diffusion equation that may be solved for many practically important
initial and boundary conditions. (C) 2000 Elsevier Science B.V. All rights
reserved.