OTIMIZAÇÃO APLICADO À POROELASTICIDADE DINÂMICA USANDO MEC E AG
DOI:
https://doi.org/10.26512/ripe.v2i10.21729Keywords:
Método dos Elementos de Contorno. Poroelasticidade. Otimização. Algoritmo Genético.Abstract
Este trabalho tem o objetivo de usar o Método dos Elementos de Contorno (MEC) e um Algoritmo Genético (AG) para resolver um problema de poroelasticidade dinâmica, considerando a engenharia inversa. O problema inverso é formulado como um procedimento de otimização no qual um Algoritmo Genético determina o melhor conjunto de constantes do material. O procedimento de caracterização proposto apresenta uma metodologia para determinar as propriedades mecânicas das rochas através do processo de otimização de ajuste de curva, uma vez que a curva x amplitude de frequência é conhecido. As equações governantes para o problema apresentado são introduzidas considerando as variáveis de tensão-deformação na formulação estabelecida por Biot para o problema de porosidade dinâmica. A metodologia mostrou boa precisão para determinar as propriedades mecânicas da rocha.
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References
Biot, M. A., Willis, D. G. (1956). “The elastic coefficients of the theory of consolidation”. J. Appl. Mech., 24,594-601.
Biot, M. A. (1956a). “Theory of propagation of elastic waves in a fluid-satured porous solid. I. low- frequency range”. Journal of Applied Physycs. Nr 28. Pp. 168-178.
Biot, M. A. (1956b). “Theory of propagation of elastic waves in a fluid-satured porous solid. I. high- frequency range”. Journal of Applied Physycs. Nr 28. Pp. 179-191.
Cheng, A. H. D., Badmus, T., Beskos, D. E. (1991). “Integral equation for dynamic poroelasticity in frequency domain with bem solution”. Journal of Engineering Mechanics, 117(5), 1136-1157.
Coussy, O. (2004). “Poromechanics”. Wiley, Chichester, 2004.
Deb, K.; Agrawal, S.; Pratab, A.; Meyarivan, T. (2000). “A fast elitist non-dominated sorting genetic algorithm for multi-objective optimization: nsga-ii”. Kangal Report 200001, Indian Institute of Technology, Kanpur, India.
Detournay, E. & Cheng, A.H.-D. (1993). “Fundamentals of poroelasticity,” chapter 5 in comprehensive rock engineering: principles, practice and projects, Vol. II, Analysis Anddesign Method, Ed. C. Fairhurst, Pergamon Press, Pp. 113-171.
Dominguez, J. (1993). “Boundary elements in dynamics”. Wit Press.
Gassmann, F. (1951). “Elasticity of porous media”. Vierteljahrsschrder Naturforschenden Gesselschaft, 96, 1-23.
Geertsma, J. (1957). “A remark on the analogy between thermoelasticity and the elasticity of saturated porous media”. Journal of the Mechanics and Physics of Solids, Vol 6, Pp.13-16.
Luenberger, D. G., & Ye, Y. (1984). “Linear and nonlinear programming” (Vol. 2). Reading, MA: Addison-wesley.
Rice, J. R., Cleary, M. P. (1976). “Some basic stress diffusion solutions for fluid-saturated elastic porous media with compressible constituents.” Reviews of Geophysics and Space Physics, V.14, N.2, P.227-41.
Plona, T. J. (1980). “Observation of a second bulk compresional wave in a porous medium at ultrasonic frequencies”. Appl. Phys. Lett., 36:259-261.
Selvadurai, A.. P. S.(1996). Mechanics of poroelastic media. In Antes, H., & Wiebe, T. “Analyses of waves in 3-d poroelastic media”. (Pp. 371-387). Springer Netherlands.
Skempton, A. W. (1954). “The pore pressure coefficients A and B”. Géotechnique, 4, 143-147.
Takahama, T., & Sakai, S. (2004). “Constrained optimization by α constrained Genetic Algorithm (ΑGA)”. Systems and Computers In Japan, 35(5), 11-22.
Terzaghi, K. (1936). “The shearing resistance of satured soils and the angle between the planes of shear”. Procedings of International Conference on Soil Mechanics and Foundation Engineering, Pp. 54-56.
Terzaghi, K. (1925). “Erdbaumechanik Auf Bodenphysykalischer Grundlage”.Deuticke, Leipzig.
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