Transport in Porous Media

, Volume 122, Issue 3, pp 521–526 | Cite as

Reply to the Comments on “Bridging Effective Stress and Soil Water Retention Equations in Deforming Unsaturated Porous Media: A Thermodynamic Approach”—by Nasser Khalili and Arman Khoshghalb

  • Jacques M. Huyghe
  • Ehsan Nikooee
  • S. Majid Hassanizadeh

The authors of the paper sincerely thank Nasser Khalili and Arman Khoshghalb for their valuable comments. Khalili and Khoshghalb state that we present a semi-empirical relationship for the determination of the effective stress parameter for unsaturated soils based on thermodynamic considerations. We fully agree with this statement. However, the purpose of our paper is much broader than presenting a semi-empirical relationship for the effective stress parameter. The purpose of the paper is to demonstrate that from a given void ratio-dependent retention formula a corresponding formula for the effective stress parameter can be derived and vice versa.

As an example, only as an example and not as the main purpose of our work, the authors choose to derive a relationship for the effective stress parameter, \(\chi \)



The authors would like to thank Dr. Arman Khoshghalb (University of New South Wales), Professor Nasser Khalili (University of New South Wales), Professor David Toll (University of Durham), Dr. David Rassam (CSIRO Land and Water) and Professor Martinus Th. (Rien) van Genuchten (Universidade Federal do Rio de Janeiro) for their very constructive comments and discussions during the preparation of this reply. E.N. and S.M.H. would like to thank European Research Council for the support they have received under the ERC Grant Agreement No. 341225.

Supplementary material

11242_2017_928_MOESM1_ESM.pdf (407 kb)
Supplementary material In the online supplementary material, a flowchart has been presented (Fig.~F1.S.) for practical purposes. It shows the procedure for estimating the effective stress parameter using our proposed equation.


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Copyright information

© Springer Science+Business Media B.V., part of Springer Nature 2018

Authors and Affiliations

  1. 1.Bernal InstituteUniversity of LimerickLimerickIreland
  2. 2.Energy Technology Section Department of Mechanical EngineeringEindhoven University of TechnologyEindhovenThe Netherlands
  3. 3.Civil and Environmental Engineering Department, School of EngineeringShiraz UniversityShirazIran
  4. 4.Earth Sciences DepartmentUtrecht UniversityUtrechtThe Netherlands

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