A VERSATILE MATHEMATICAL APPROACH FOR ENVIRONMENTAL GEOMECHANIC MODELLING BASED ON STRESS STATE DECOMPOSITION

P.A. BENEYTO; H.A. DI RADO; J.L. MROGINSKI; A.M. AWRUCH

APPLIED MATHEMATICAL MODELLING

ELSEVIER SCIENCE INC

Lugar: Amsterdam; Año: 2015 vol. 39 p. 6880 - 6896

0307-904X

The main goal of the present paper is to present a mathematical framework for modelling multiphase non-saturated soil consolidation with pollutant transport based on stress state congurations with special emphasis in its versatility. Nonlinear saturation and permeability dependence on suction for both water and pollutant transport is regarded. Furthermore, through the introduction of a suction saturation surface instead of simple suction saturation curves, the implementation of the saturation-suction coupling effect is considerably simplied. The achieved dierential equation system is discretized within a Galerkin approach along with the nite element method implementation. A widespread set of practical situations is encompassed by simply setting certain coecients of the discrete system of equation according to concrete problem conditions. When the model is coped with certain selected fringe conditions, the approach adaptability feature came up showing a robust performance.