Permeability relation for periodic structures

Keh Jim Dunn*, Gerald A. LaTorraca, David Bergman

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


The permeability relation for periodic porous media is studied with respect to other petrophysical parameters such as formation factor, porosity, surface-to-volume ratio, and nuclear magnetic resonance (NMR) relaxation time. All these quantities were computed for periodic structures of simple, body-centered, and face-centered cubic arrays of touching and overlapping spheres. The formation factors were calculated by using a method which is based on a Fourier-space representation of an integral equation for the electric potential in a two-component composite. The nuclear magnetic resonance relaxation time for the case where surface-enchanced relaxation plays a dominant role is known to be V(p)/ρS (V(p) is the pore volume, S is the pore surface, is the surface relaxation strength) when ρ is not too large. Previously calculated permeabilities for these structures from the literature were used for correlation studies with other petrophysical parameters. Various correlation schemes among these quantities, such as k = aT(b)F(c), and k = aT(b)φ(c), were investigated, where k is permeability, T is the NMR relaxation time, φ is the porosity, and F is the formation factor.

Original languageEnglish
Pages (from-to)553-556
Number of pages4
JournalMagnetic Resonance Imaging
Issue number5-6
StatePublished - Jun 1998


  • Formation factor
  • NMR relaxation times
  • Permeability


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