4 mthodologie pour la construction dun mint v

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: NUMERICAL ACCURACY AND ROBUSTNESS Continuation method for highly heterogeneous media Some special considerations were given to the non-linear aspects of the SWIM problem. Indeed, Seawater Intrusion Modeling is “doubly non-linear” because of the non-linearity of the Dupuit Boussinesq equation (head-dependent transmissivity) and because of the nonlinearity due to the interception of the salt interface by the aquifer’s substratum. This non-linearity is even stronger when the domain is highly heterogeneous (K(x,y). For these cases, we used a special iterative “re-start method”, also known as “continuation” or “homotopy” method. The continuation parameter is chosen to be σlnK, the standard deviation of lnK. Modélisation stochastique de l'intrusion saline en 2D plan 73 The method is implemented iteratively as follows. Step 1: we generate an aquifer with mildly heterogeneous log-permeability (lnK(x,y)) characterized by its mean, standard deviation, and covariance function, u...
View Full Document

Ask a homework question - tutors are online