### Abstract

Permeability estimation from induced polarization (IP) measurements is based on a fundamental premise that the characteristic relaxation time τ is related to the effective hydraulic radius r _{eff} controlling fluid flow. The approach requires a reliable estimate of the diffusion coefficient of the ions in the electrical double layer. Others have assumed a value for the diffusion coefficient, or postulated different values for clay versus clay-free rocks. We have examined the link between a widely used single estimate of τ and r _{eff} for an extensive database of sandstone samples, in which mercury porosimetry data confirm that r _{eff} is reliably determined from a modification of the Hagen-Poiseuille equation assuming that the electrical tortuosity is equal to the hydraulic tortuosity. Our database does not support the existence of one or two distinct representative diffusion coefficients but instead demonstrates strong evidence for six orders of magnitude of variation in an apparent diffusion coefficient that is well-correlated with r _{eff} and the specific surface area per unit pore volume S _{por} . Two scenarios can explain our findings: (1) the length scale defined by τ is not equal to r _{eff} and is likely much longer due to the control of pore-surface roughness or (2) the range of diffusion coefficients is large and likely determined by the relative proportions of the different minerals (e.g., silica and clays) making up the rock. In either case, the estimation of r _{eff} (and hence permeability) is inherently uncertain from a single characteristic IP relaxation time as considered in this study.

Original language | English (US) |
---|---|

Pages (from-to) | D519-D526 |

Journal | GEOPHYSICS |

Volume | 81 |

Issue number | 5 |

DOIs | |

State | Published - Mar 13 2016 |

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### All Science Journal Classification (ASJC) codes

- Geochemistry and Petrology

### Cite this

*GEOPHYSICS*,

*81*(5), D519-D526. https://doi.org/10.1190/GEO2016-0135.1

}

*GEOPHYSICS*, vol. 81, no. 5, pp. D519-D526. https://doi.org/10.1190/GEO2016-0135.1

**Induced polarization and pore radius - A discussion.** / Weller, Andreas; Zhang, Zeyu; Slater, Lee; Kruschwitz, Sabine; Halisch, Matthias.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Induced polarization and pore radius - A discussion

AU - Weller, Andreas

AU - Zhang, Zeyu

AU - Slater, Lee

AU - Kruschwitz, Sabine

AU - Halisch, Matthias

PY - 2016/3/13

Y1 - 2016/3/13

N2 - Permeability estimation from induced polarization (IP) measurements is based on a fundamental premise that the characteristic relaxation time τ is related to the effective hydraulic radius r eff controlling fluid flow. The approach requires a reliable estimate of the diffusion coefficient of the ions in the electrical double layer. Others have assumed a value for the diffusion coefficient, or postulated different values for clay versus clay-free rocks. We have examined the link between a widely used single estimate of τ and r eff for an extensive database of sandstone samples, in which mercury porosimetry data confirm that r eff is reliably determined from a modification of the Hagen-Poiseuille equation assuming that the electrical tortuosity is equal to the hydraulic tortuosity. Our database does not support the existence of one or two distinct representative diffusion coefficients but instead demonstrates strong evidence for six orders of magnitude of variation in an apparent diffusion coefficient that is well-correlated with r eff and the specific surface area per unit pore volume S por . Two scenarios can explain our findings: (1) the length scale defined by τ is not equal to r eff and is likely much longer due to the control of pore-surface roughness or (2) the range of diffusion coefficients is large and likely determined by the relative proportions of the different minerals (e.g., silica and clays) making up the rock. In either case, the estimation of r eff (and hence permeability) is inherently uncertain from a single characteristic IP relaxation time as considered in this study.

AB - Permeability estimation from induced polarization (IP) measurements is based on a fundamental premise that the characteristic relaxation time τ is related to the effective hydraulic radius r eff controlling fluid flow. The approach requires a reliable estimate of the diffusion coefficient of the ions in the electrical double layer. Others have assumed a value for the diffusion coefficient, or postulated different values for clay versus clay-free rocks. We have examined the link between a widely used single estimate of τ and r eff for an extensive database of sandstone samples, in which mercury porosimetry data confirm that r eff is reliably determined from a modification of the Hagen-Poiseuille equation assuming that the electrical tortuosity is equal to the hydraulic tortuosity. Our database does not support the existence of one or two distinct representative diffusion coefficients but instead demonstrates strong evidence for six orders of magnitude of variation in an apparent diffusion coefficient that is well-correlated with r eff and the specific surface area per unit pore volume S por . Two scenarios can explain our findings: (1) the length scale defined by τ is not equal to r eff and is likely much longer due to the control of pore-surface roughness or (2) the range of diffusion coefficients is large and likely determined by the relative proportions of the different minerals (e.g., silica and clays) making up the rock. In either case, the estimation of r eff (and hence permeability) is inherently uncertain from a single characteristic IP relaxation time as considered in this study.

UR - http://www.scopus.com/inward/record.url?scp=84979536698&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84979536698&partnerID=8YFLogxK

U2 - 10.1190/GEO2016-0135.1

DO - 10.1190/GEO2016-0135.1

M3 - Article

AN - SCOPUS:84979536698

VL - 81

SP - D519-D526

JO - Geophysics

JF - Geophysics

SN - 0016-8033

IS - 5

ER -