Kj. Packer et Jj. Tessier, THE CHARACTERIZATION OF FLUID TRANSPORT IN A POROUS SOLID BY PULSED GRADIENT STIMULATED ECHO NMR, Molecular physics, 87(2), 1996, pp. 267-272
Pulsed magnetic field gradient stimulated echo NMR measurements are re
ported for the flow and diffusion of an aqueous phase within a sample
of Fontainebleau sandstone. The stimulated echo dependence on the grad
ient pulse area, q, for a fixed observation time Delta, is used to der
ive the displacement probability distributions, P Delta(X), where X, t
he direction of the field gradient, is arranged to be parallel or perp
endicular to the applied pressure gradient driving the flow. The shape
of the P-Delta(X) as a function of Delta is modelled in terms of lami
nar flow within a set of randomly oriented capillaries. For small Delt
a, molecules remain largely within the capillaries they occupy at the
beginning of the time Delta and, as a consequence, the P-Delta(X) for
small Delta are dominated by the orientational distribution of the cap
illaries. For larger Delta, the evolution of the P-Delta(X) is reprodu
ced only when diffusion of molecules across the velocity gradients wit
hin the capillaries is introduced and, in addition, the fluid transfer
s between differently oriented capillaries through the action of the o
verall flow.