Solution Strategies for Pollutant Transport Modelling in Geomaterials

  • B. A. Schrefler
  • L. Simoni
Conference paper


Pollutant transport is a problem of paramount importance when dealing with environmental protection. In transport problems we have generally interaction of different fields, e.g. mechanical, thermal, hydraulic, chemical, electric, hence the most general way to analyse such a problem, is multi-component mechanics. Mixture theories and averaging approach represent valuable theoretical tools to obtain the governing equations. The resulting mathematical model usually involves several non-linear Partial Differential Equations, defined in very large domains, both in space and time and solutions are possible only using numerical methods. The applicability and efficiency of the numerical model basically depend on the adopted solution strategy, which has to be carefully analysed. The paper shortly presents the governing equations, then introduces some numerical techniques to solve the problem and discusses the respective properties.


Energy Balance Equation Pollutant Transport Successive Substitution Linear Momentum Balance Angular Momentum Balance 
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  1. [1]
    B.A. Schrefler, L. D’Alpaos, X.Y. Zhan and L. Simoni, Pollutant Transport in Deforming Porous Media, European J. Mechanics, Vol. 13 (1994) 175–194.MATHGoogle Scholar
  2. [2]
    B.A. Schrefler, L. Simoni, X. Li & O.C. Zienkiewicz, 1990, Mechanics of Partially Saturated Porous Media, in Numerical Methods and Constitutive Modelling in Geomechanics, CISM Lecture Notes, Vol. 311, Desai C.A. & Gioda G. (eds.), 169–209, Springer-Verlag, Wien.Google Scholar
  3. [3]
    E. Turska & B.A. Schrefler, 1993, On convergence conditions of partitioned solution procedures for consolidation problems, Comp. Methods in Appl. Mech. and Eng. 106, 51–63.MathSciNetMATHCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • B. A. Schrefler
    • 1
  • L. Simoni
    • 1
  1. 1.University of PaduaPaduaItaly

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