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Various Flow Equations to Model the New Soil Improvement Method Biogrout

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Numerical Mathematics and Advanced Applications 2011

Abstract

We consider a mathematical model for Biogrout, which is a novel soil reinforcement technique based on Microbially Induced Carbonated Precipitation. We focus on an adaptation of the flow equation such that mass is conserved instead of volume. The adaptation is validated by a mass balance. Some numerical simulations are presented and used for the discussion on the various adjustments of the flow equation.

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References

  1. Zheng, C., Bennett, G D. : Applied Contaminant Transport Modeling, Van Nostrand Reinhold, New York (1995)

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  2. Van Wijngaarden, W.K., Vermolen, F.J., van Meurs, G.A.M., Vuik, C.: Modelling the New Soil Improvement Method Biogrout: Extension to 3D. In: G. Kreiss et al. (eds.) Numerical Mathematics and Advanced Applications, 893–900 (2009)

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  3. Van Wijngaarden, W.K., Vermolen, F.J., van Meurs, G.A.M., Vuik, C.: Modelling Biogrout: A New Ground Improvement Method Based on Microbial-Induced Carbonate Precipitation. Transp. Porous Med. 87, 397–420 (2011)

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  4. Whiffin, Victoria S., van Paassen, Leon A. and Harkes, Marien P.: Microbial Carbonate Precipitation as a Soil Improvement Technique, Geomicrobiology Journal, 24:5, (2007), 417–423.

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Author information

Authors and Affiliations

  1. Deltares, unit Geo Engineering, 177, 2600 MH, Delft, The Netherlands

    W. K. van Wijngaarden & G. A. M. van Meurs

  2. Delft Institute of Applied Mathematics, Delft University of Technology, Mekelweg 4, 2628 CD, Delft, The Netherlands

    F. J. Vermolen & C. Vuik

Authors
  1. W. K. van Wijngaarden
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  2. F. J. Vermolen
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  3. G. A. M. van Meurs
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  4. C. Vuik
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Corresponding author

Correspondence to W. K. van Wijngaarden .

Editor information

Editors and Affiliations

  1. , Department of Mathematics, University of Leicester, Leicester, LE!1 7RH, United Kingdom

    Andrea Cangiani

  2. , Department of Mathematics, University of Leicester, Leicester, LE1 7RL, United Kingdom

    Ruslan L. Davidchack

  3. , Department of Mathematics, University of Leicester, Leicester, LE1 7RH, United Kingdom

    Emmanuil Georgoulis

  4. , Department of Mathematics, University of Leicester, Leicester, LE1 7RH, United Kingdom

    Alexander N. Gorban

  5. , Department of Mathematics, University of Leicester, Leicester, LE1 7RH, United Kingdom

    Jeremy Levesley

  6. , School of Mathematical Sciences, University of Nottingham, University Park, Nottingham, NG7 2RD, United Kingdom

    Michael V. Tretyakov

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© 2013 Springer-Verlag Berlin Heidelberg

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van Wijngaarden, W.K., Vermolen, F.J., van Meurs, G.A.M., Vuik, C. (2013). Various Flow Equations to Model the New Soil Improvement Method Biogrout. In: Cangiani, A., Davidchack, R., Georgoulis, E., Gorban, A., Levesley, J., Tretyakov, M. (eds) Numerical Mathematics and Advanced Applications 2011. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33134-3_67

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