• Nonlinear pressure and tempera...

Result: Nonlinear pressure and temperature waves propagation in fluid-saturated rocks

Title:
Nonlinear pressure and temperature waves propagation in fluid-saturated rocks
Authors:
DE' MICHIELI VITTURI, M, BEUX, F
Source:
International conference of computational methods in sciences and engineering 2003 (ICCMSE 2003)Mathematical and computer modelling. 42(7-8):769-782
Publisher Information:
Oxford: Elsevier Science, 2005.
Publication Year:
2005
Physical Description:
print, 14 ref
Original Material:
INIST-CNRS
Subject Terms:
Computer science, Informatique, Mathematics, Mathématiques, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Analyse mathématique, Mathematical analysis, Equations aux dérivées partielles, Partial differential equations, Physique, Physics, Domaines classiques de la physique (y compris les applications), Fundamental areas of phenomenology (including applications), Mécanique des fluides, Fluid dynamics, Méthodes de calcul en mécanique des fluides, Computational methods in fluid dynamics, Ecoulements non homogènes, Nonhomogeneous flows, Ecoulements en milieu poreux, Flows through porous media, Bilan énergétique, Energy balance, Balance energético, Calcul scientifique, Scientific computation, Computación científica, Dynamique fluide, Fluid dynamics, Elasticité, Elasticity, Energie géothermique, Geothermal energy, Equation énergie, Energy equation, Ecuación energía, Gradient pression, Pressure gradients, Gradient température, Temperature gradients, Mathématiques appliquées, Applied mathematics, Matemáticas aplicadas, Modèle mathématique, Mathematical models, Modèle non linéaire, Non linear model, Modelo no lineal, Mécanique roche, Rock mechanics, Méthode quasi Newton, Quasi Newton method, Método cuasi Newton, Méthode élément fini, Finite element method, Nappe eau, Aquifers, Onde fluide, Fluid wave, Onda fluído, Onde non linéaire, Non linear wave, Onda no lineal, Onde pression, Pressure wave, Onda presión, Poroélasticité, Poroelasticity, Poroelasticidad, Propagation onde, Wave propagation, Simulation numérique, Digital simulation, Simulation statistique, Statistical simulation, Simulación estadística, Surface libre, Free surface, Superficie libre, Surface, Surfaces, Thermoélasticité, Thermoelasticity, Discrétisation spatiale, Déformation roche, Rock deformation, Equation Darcy, Méthode finie, Schéma implicite, Geothermics, Nonlinear model, Quasi-Newton solver
Document Type:
Conference Conference Paper
File Description:
text
Language:
English
Author Affiliations:
Department of Mathematics L. Tonelli, University of Pisa, Via Buonarroti 2, 56127, Pisa, Italy
Classe di Scienze, Scuola Normale Superiore di Pisa, piazza dei Cavalieri 7, 56126, Pisa, Italy
ISSN:
0895-7177
Access URL:
http://pascal-francis.inist.fr/vibad/index.php?action=search&terms=17286650
Rights:
Copyright 2006 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Mathematics

Physics: fluid mechanics
Accession Number:
edscal.17286650
Database:
PASCAL Archive

Further Information

A numerical study for the simulation of rock deformation due to nonlinear temperature and pressure waves in fluid saturated porous rock is presented. The problem of an homogeneous, thermoelastic, and isotropic fluid-saturated matrix, lying over an aquifer in hyperthermal domain an limited by an upper free surface is considered. The equations of thermo-poro-elasticity, the energy balance and Darcy equation are employed to model the deformation induced by pressure and temperature gradients originating from the source at depth. The numerical approach adopted to solve the nonlinear problem is based on a cubic finite-element method for the spatial discretization and an implicit scheme for the temporal discretization. This work essentially provides a numerical tool for interpreting some geophysical phenomena, in particular for the study of ground uplift in volcanic areas such as Rabaul caldera, Long Valley caldera, and Campi Flegrei. Some experiments and results are presented.