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A finite element code for subsidence problems: Lagamine

Modélisation par éléments finis des problèmes de tassement: Le code lagamine

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Conclusions

A general concept for the numerical modelling of an aquifer subsidence has been presented. Its main advantage is the separation from the three-dimensional flow model (which is a scalar field with one variable per node) and the compaction model (which is a vector field problem coupled to a scalar field problem, with 4 variables per node). This separation is very interesting for a “plate-like aquifer” because the compaction problem is reduced to a series of unidimensional problems with a small number of degree of freedom.

The finite element code LAGAMINE has been applied to the flow and compaction problem. The equilibrium equations and the constitutive laws have been developed.

Applications are presented in the next papers (papers V and VI). They demonstrate some of the capabilities of numerical simulations with the finite element code LAGAMINE.

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References

  1. BOADE R.R., CHIN L.Y. and SLEMERS W.T.: Forecasting of Ekofisk Reservoir compaction and Subsidence by Numerical Simulation. J. of Petroleum Technology, July 1989, pp. 723–728.

    Article  Google Scholar 

  2. CHARLIER R., RADU J.P., SCHROEDER C., FONDER G., MONJOIE A.: Ekofisk subsidence et compaction, Modèles aux éléments finis, Rapport d’étude MSM-L.G.I.H.

  3. CHARLIER R. et RADU J.P.: On the constitutive equation of the chalk, ICONMIG’88 Colloquium, Insbruck, April 1988.

  4. CHARLIER R.: Approche unifiée de quelques problèmes non linéaires de mécanique des milieux continus par la méthode des éléments finis, Doctoral Thesis, Université de Liège, March 1987.

  5. LEWIS R.W. and SCHREFLER B.A.: The Finite Element Method in the Deformation and Consolidation of Porous Media, J. Wiley & Sons.

  6. BAETEMAN C., CHARLIER R., DASSARGUES A., MONJOIE A., PAEPE R., RADU J.P., SCHROEDER C.: Etude de la géologie du Quaternaire, de l’hydrogéologie et de la géologie de l’ingénieur dans le delta du Yangtse. Modèle mathématique de la zone de Shanghaï, Rapport d’étude, L.G.I.H., Université de Liège.

  7. XUE YUQUN: Logarithmic finite element interpolation of flow near wells in phreatic aquifers, Adv. in Water Resources, 1985. Vol. 8, September, pp. 111–117.

    Article  Google Scholar 

  8. XUE YUQUN and XIE CHUNHONG: Logarithmic interpolation for groundwater flow near well, in Finite Elements in Water Resources, Proc. of the 5th Int. Conf., Burlington, Vermont, U.S.A., June 1984, pp. 89–102.

  9. NISHIDA Y. and NAKAGAWA S.: Water permeability and plastic index of soils, Publication no 89 in Land Subsidence IAHS-UNESCO-2, 1969, pp 573–578.

  10. DASSARGUES A., RADU J.P. and CHARLIER R.: Finite element modelling of a large water table aquifer in transient conditions, Adv. in Water Resources, 1988, Vol. 11, no 2, pp. 58–66.

    Article  Google Scholar 

  11. ZIENCKIEWICK O.C.: The finite element method. MacGraw-Hill, London, 1977.

    Google Scholar 

  12. HABRAKEN A.M.: Contribution à la modélisation du formage des métaux par la méthode des éléments finis, Doctoral thesis, Université de Liège, 1989.

  13. FELDKAM J.R.: Numerical analysis of one-dimensional non-linear large strain consolidation by the finite elements method, Transport in porous media, 4, 1989, pp. 239–257.

    Google Scholar 

  14. BIOT M.A.: General solution of the equations of elasticity and consolidation for a porous material. Journal of Appl. Mech., Trans. A.S.M.E., 23, 1956, pp. 91–96.

    Google Scholar 

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Authors and Affiliations

  1. Départment MSM, Université de Liège, Belgique

    R. Charlier & J. P. Radu

  2. Shanghai Station of Environmental Geology, P.R. China

    Q. F. Li

Authors
  1. R. Charlier
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  2. J. P. Radu
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  3. Q. F. Li
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Charlier, R., Radu, J.P. & Li, Q.F. A finite element code for subsidence problems: Lagamine. Bulletin of the International Association of Engineering Geology 47, 5–11 (1993). https://doi.org/10.1007/BF02639590

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