Mathematical and numerical filtration–advection–dispersion model of miscible grout propagation in saturated porous media
By F. Bouchelaghem, L. Vulliet. 2001
49 citations recorded by the source corpus.
The development of a predictive model of behaviour of porous media during injection of miscible grout, taking into account convection, dilution and filtration of grout solution with interstitial water, as well as consolidation aspects, is presented. Model assumptions are reviewed and discussed first. During the establishment of the model, we insist on surface terms and their physical relevance in expressing adsorption effects. Constitutive laws such as Fick's law for diffusive mass transport, hydrodynamic dispersion tensor dealing with miscibility, are modified by taking into account filtration effects. A new surface term appears in mass balance equations as a consequence of filtration. According to the filtration laws used, an initial filtration rate is estimated on the basis of a one‐dimensional experimental campaign. The field equations are discretized by using Galerkin finite element and θ‐scheme standard method. For transport equation, Streamline Upwind Petrov Galerkin method is employed to prevent numerical oscillations. Lastly, confrontation of numerical results with laboratory experiments constitutes a first step to validate the model on a realistic basis. Copyright © 2001 John Wiley & Sons, Ltd.
Subfields: Civil and Structural Engineering, Environmental Engineering
View Paper: https://www.semanticscholar.org/paper/a058f11d5e2cb2f74a5c00e8d9b333b7aa238d86
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Civil and Structural Engineering
Citations in the corpus
- Modelling of cement suspension flow in granular porous media (2005, methodology): “Similar results, in terms of fluid pressure along the column, have been presented by Bouchelaghem and Vulliet [19], showing in particular that no permanent regime is observed after the initial filling up of the column.”