@article{fdi:010049514,
  title = {{D}etermination of permeability from spectral induced polarization in granular media},
  author = {{R}evil, {A}. and {F}lorsch, {N}icolas},
  editor = {},
  language = {{ENG}},
  abstract = {{T}he surface conductivity of porous rocks has two contributions: the first is associated with the diffuse layer coating the grains and is frequency-independent as long as the diffuse layer is above a percolation threshold. {T}he second contribution is associated with the {S}tern layer of weakly sorbed counterions on the mineral surface and is frequency-dependent if the {S}tern layer is discontinuous at the scale of the representative elementary volume. {I}n the frequency range 1 m{H}z-100 {H}z, this second contribution is also associated with the main polarization mechanism observed by the spectral induced polarization method in granular media (neglecting the contribution of other polarization processes like those associated with redox processes and membrane polarization). {A}t the macroscale, we connect the {S}tern layer contribution to the complex conductivity and to the expectation of the probability distribution of the inverse of the grain size. {T}his is done by performing a convolution between the probability distribution of the inverse of the grain size and the surface conductivity response obtained when all the grains have the same size. {S}urface conductivity at the macroscopic scale is also connected to an effective pore size used to characterize permeability. {F}rom these relationships, a new equation is derived connecting this effective pore size, the electrical formation factor, and the expected value of the probability distribution for the inverse of the grain size, which is in turn related to the distribution of the relaxation times. {T}hese new relationships are consistent with various formula derived in the literature in the limit where the grain size distribution is given by the delta function or a log normal distribution and agree fairly well with various experimental data showing also some limitations of the induced polarization method to infer permeability. {O}ne of these limitations is the difficulty to detect the relaxation, in the phase, associated with the smaller grains, as this polarization may be hidden by the {M}axwell-{W}agner polarization at relatively high frequencies (> 100 {H}z). {A}lso, cemented aggregates of grains can behave as coarser grains.},
  keywords = {{P}robability distributions ; {E}lectrical properties ; {H}ydrogeophysics ; {P}ermeability and porosity},
  booktitle = {},
  journal = {{G}eophysical {J}ournal {I}nternational},
  volume = {181},
  numero = {3},
  pages = {1480--1498},
  ISSN = {0956-540{X}},
  year = {2010},
  DOI = {10.1111/j.1365-246{X}.2010.04573.x},
  URL = {https://www.documentation.ird.fr/hor/fdi:010049514},
}