Consolidation Model for Gassy Soils Considering the Compression Coefficient of Air-Water Mixture

  • Fan-Ge Zhang
  • Kan LiuEmail author
  • Xiao-Jun Zhu
  • Min Yang
Conference paper


The gassy soil or quasi-saturated soil which containing entrapped gas bubbles is a special type of unsaturated soils. Gassy soils could exist in many situations such as offshore geotechnical engineering and water infiltration under heavy rains. For this type of soil, the deformations due to the air compression cannot be ignored, which is usually described as the compressibility of the air-water mixture. This paper aims to calculate the compression coefficient of air-water mixture and propose the consolidation equation of gassy soils. Based on the conceptual model of small bubbles, deformation characteristics of entrapped gas bubbles, Bolye’s law of ideal gas and surface tension effects, the compression coefficient of air-water mixture in gassy soils is derived. The presence of gas could influence the process of soil consolidation, and the entrapped gas bubbles are considered to be drained off along with pore water in the process of consolidation. The deformation of the soil during consolidation could be divided into two parts: one part is the compression deformation due to draining of air-water mixture, and the other part is the compression of the air-water mixture. The derived compression coefficient equation of air-water mixture is used to establish the consolidation equation of gassy soils. Calculation results using our model are compared with the experimental data from literatures, and the results show that the proposed model could properly reflect the consolidation behavior of gassy soils.


Gassy soils Air-water mixture Compression coefficient Consolidation equation 



The authors acknowledge the support received from Dr. Jianfeng Xue and related organizations.


This work is supported by the National Natural Science Foundation of China under Grant No. 41572258.


  1. 1.
    Wheeler, S.J.: The undrained shear strength of soils containing large gas bubbles. Géotechnique 38(3), 399–413 (1988)CrossRefGoogle Scholar
  2. 2.
    Faybishenko, B.A.: Hydraulic behavior of quasi-saturated soils in the presence of entrapped air: laboratory experiments. Water Resour. Res. 31(10), 2421–2435 (1995)CrossRefGoogle Scholar
  3. 3.
    Wei, H., Zhan, L., Chen, Y.: Compressibility and consolidation of unsaturated soils with high degree of saturation and its application. Chin. J. Geotech. Eng. 28(2), 264–269 (2006)Google Scholar
  4. 4.
    Xu, H.: Studies on the consolidation theory for unsaturated soft soils containing biogas [Ph.D. thesis]. Zhejiang University, Hangzhou (2011)Google Scholar
  5. 5.
    Fredlund, D.G., Rahardjo, H., Fredlund, M.D.: Unsaturated Soil Mechanics in Engineering Practice. Wiley, Hoboken (2012)CrossRefGoogle Scholar
  6. 6.
    Nageswaran S.: Effect of gas bubbles on the sea bed behavior [Ph.D. thesis]. The University of Oxford, Oxford (1983)Google Scholar
  7. 7.
    Thomas S. D: The consolidation behaviour of gassy soil [Ph.D. thesis]. The University of Oxford, Oxford (1987)Google Scholar
  8. 8.
    Pietruszczak, S., Pande, G.N.: Constitutive relations for partially saturated soils containing gas inclusions. J. Geotech. Eng. 122(1), 50–59 (1996)CrossRefGoogle Scholar
  9. 9.
    Sills, G.C., Wheeler, S.J., Thomas, S.D., et al.: Behaviour of offshore soils containing gas bubbles. Géotechnique 41(2), 227–241 (1991)CrossRefGoogle Scholar
  10. 10.
    Schuurman, I.E.: The compressibility of an air/water mixture and a theoretical relation between the air and water pressures. Geotechnique 16(4), 269–281 (1966)CrossRefGoogle Scholar
  11. 11.
    Dorsey, N.E.: Properties of Ordinary Water-Substance. Reinhold, New York (1940)Google Scholar

Copyright information

© Springer Nature Singapore Pte Ltd. 2018

Authors and Affiliations

  • Fan-Ge Zhang
    • 1
  • Kan Liu
    • 1
    • 2
    Email author
  • Xiao-Jun Zhu
    • 2
  • Min Yang
    • 1
  1. 1.Department of Geotechnical EngineeringTongji UniversityShanghaiChina
  2. 2.Shanghai Shen Yuan Geotechnical Engineering Co., Ltd.ShanghaiChina

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