Deterministic Sensitivity Analysis for a Model for Flow in Porous Media - Research report No. 6502
Creators
- 1. Andra, DSCS, 92298 Chatenay-Malabry cedex (France)
- 2. Institut national de recherche en informatique et en automatique - Inria (France)
Description
A deterministic method for sensitivity analysis is developed and applied to a mathematical model for the simulation of flow in porous media. The method is based on the singular value decomposition (SVD) of the Jacobian matrix of the model. It is a local approach to sensitivity analysis providing a hierarchical classification of the directions in both the input space and of those in the output space reflecting the degree of sensitiveness of the latter to the former. Its low computational cost, in comparison with that of statistical approaches, allows the study of the variability of the results of the sensitivity analysis due to the variations of the input parameters of the model, and thus it can provide a quality criterion for the validity of more classical probabilistic global approaches. For the example treated here, however, this variability is weak, and deterministic and statistical methods yield similar sensitivity results. (authors)
Abstract (French)
Une methode deterministe pour l'analyse de sensibilite est developpee et appliquee a un modele mathematique pour la simulation d'ecoulements en milieux poreux. La methode est basee sur la decomposition en valeurs singulieres (SVD) de la matrice Jacobienne du modele. C'est une approche locale d'analyse de sensibilite qui fournit une classification hierarchique des directions dans les espaces d'entree et de celles dans l'espace de sortie traduisant le degre de sensibilite de ces dernieres sur ces premieres. Son coup de calcul faible par rapport a celui des approches statistiques rend possible une etude de la variabilite des resultats en fonction des parametres d'entree du modele, et permet ainsi de fournir un critere de qualite sur la validite des approches probabilistes, plus classiques. Cependant, pour l'exemple considere ici, cette variabilite est faible et les methodes deterministe et statistique fournissent des resultats similaires. (auteurs)Files
FR2500827.pdf
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Additional details
Additional titles
- Original title (English)
- Analyse de sensibilite deterministe pour un modele d'ecoulement en milieux poreux - Rapport de recherche No. 6502
Publishing Information
- Imprint Pagination
- 32 p.
- ISSN
- 0249-6399
- Report number
- INIS-FR--25-0342
INIS
- Country of Publication
- France
- Country of Input or Organization
- France
- Subject category
- S42: ENGINEERING; S97: MATHEMATICAL METHODS AND COMPUTING;
- Descriptors DEI
- DETERMINISTIC ESTIMATION; SENSITIVITY ANALYSIS; POROUS MATERIALS; FLOW MODELS; COMPUTERIZED SIMULATION; PROBABILISTIC ESTIMATION; PERMEABILITY; HYDRAULIC CONDUCTIVITY; STEADY-STATE CONDITIONS; PRESSURE GRADIENTS; VELOCITY
- Descriptors DEC
- CALCULATION METHODS; MATERIALS; MATHEMATICAL MODELS; PHYSICAL PROPERTIES; SIMULATION
Optional Information
- Notes
- 36 refs.; Available from the INIS Liaison Officer for France, see the INIS website for current contact and E-mail addresses