TY - JOUR

T1 - Permeability relation for periodic structures

AU - Dunn, Keh Jim

AU - LaTorraca, Gerald A.

AU - Bergman, David

PY - 1998/6

Y1 - 1998/6

N2 - 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.

AB - 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.

KW - Formation factor

KW - NMR relaxation times

KW - Permeability

UR - http://www.scopus.com/inward/record.url?scp=0032100349&partnerID=8YFLogxK

U2 - 10.1016/S0730-725X(98)00055-1

DO - 10.1016/S0730-725X(98)00055-1

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AN - SCOPUS:0032100349

SN - 0730-725X

VL - 16

SP - 553

EP - 556

JO - Magnetic Resonance Imaging

JF - Magnetic Resonance Imaging

IS - 5-6

ER -