### Abstract

The nonlinear Poisson-Boltzmann equation is solved with a field-dependent expression for the dielectric constant to determine the effect of dielectric saturation on swelling pressure in clays. Calculations including a scaled and an unscaled version of the approximate expression for the field-dependent dielectric constant first derived by Booth are compared. It is found that the swelling pressure decreases in all cases considered; however, the effect is significant only when the electric field at the surface is high enough to cause dielectric saturation. Nonlinear dielectric effects should be considered in models which predict surface electric fields in excess of 10^{7} V·m^{-1}.

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

Pages (from-to) | 1026-1029 |

Number of pages | 4 |

Journal | Langmuir |

Volume | 8 |

Issue number | 3 |

State | Published - Mar 1992 |

Externally published | Yes |

### Fingerprint

### ASJC Scopus subject areas

- Colloid and Surface Chemistry
- Physical and Theoretical Chemistry

### Cite this

*Langmuir*,

*8*(3), 1026-1029.

**On the effect of dielectric saturation on the swelling of clays.** / Curry, Joan E; McQuarrie, Donald A.

Research output: Contribution to journal › Article

*Langmuir*, vol. 8, no. 3, pp. 1026-1029.

}

TY - JOUR

T1 - On the effect of dielectric saturation on the swelling of clays

AU - Curry, Joan E

AU - McQuarrie, Donald A.

PY - 1992/3

Y1 - 1992/3

N2 - The nonlinear Poisson-Boltzmann equation is solved with a field-dependent expression for the dielectric constant to determine the effect of dielectric saturation on swelling pressure in clays. Calculations including a scaled and an unscaled version of the approximate expression for the field-dependent dielectric constant first derived by Booth are compared. It is found that the swelling pressure decreases in all cases considered; however, the effect is significant only when the electric field at the surface is high enough to cause dielectric saturation. Nonlinear dielectric effects should be considered in models which predict surface electric fields in excess of 107 V·m-1.

AB - The nonlinear Poisson-Boltzmann equation is solved with a field-dependent expression for the dielectric constant to determine the effect of dielectric saturation on swelling pressure in clays. Calculations including a scaled and an unscaled version of the approximate expression for the field-dependent dielectric constant first derived by Booth are compared. It is found that the swelling pressure decreases in all cases considered; however, the effect is significant only when the electric field at the surface is high enough to cause dielectric saturation. Nonlinear dielectric effects should be considered in models which predict surface electric fields in excess of 107 V·m-1.

UR - http://www.scopus.com/inward/record.url?scp=0026831268&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0026831268&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0026831268

VL - 8

SP - 1026

EP - 1029

JO - Langmuir

JF - Langmuir

SN - 0743-7463

IS - 3

ER -