ࡱ;  Root Entry  !#  FMicrosoft Word-Dokument MSWordDocWord.Document.89q [^^Normal 1$*$A$3B*OJQJCJmHsHKHPJnHtH^JaJ_H9DDTtulo x$OJQJCJPJ^JaJ>B>Corpo do textod"/"Lista^J@""@Legenda xx $CJ6^JaJ]<2<ndice $mHsHnHtH^J_H P GTimes New Roman5Symbol3&ArialiLiberation SerifTimes New Roman7NSimSun?&Lucida SansS&Liberation SansArialGMicrosoft YaHei?$Lucida SansBhBҼGRҼG,l,l' 0 0Oh+'0|8 @ L X d p2@;@@v7@P7՜.+,D՜.+,\M 0Caolan80 =   t{b  Ttulo A pixel-based finite element implementation to estimate effective wave velocity in heterogeneous media Resumo Estimamos as propriedades elsticas de amostras digitais de rochas atravs de simulaes de elementos finitos de experimentos de transmisso de propagao de ondas. Usamos uma estratgia na qual no montamos matriz de rigidez, explorando a malha estruturada proveniente de imagens, diminuindo a memria necessria para armazenar os clculos. Alm disso, empregamos uma tcnica de matriz diagonal de massa concentrada para superar as dificuldades relacionadas inverso e armazenamento da matriz de massa. Ns adotamos a integrao Leapfrog, que conhecida por sua combinao de estabilidade, preciso e eficincia. Testamos nossa implementao em relao s previses tericas e resultados analticos obtidos com o auxlio do mtodo clssico de teoria de propagao de ondas. Por fim, simulamos o teste de transmisso em um modelo digital obtido atravs de uma microtomografia e comparamos as propriedades elsticas obtidas com os resultados de homogeneizao esttica. Palavras-chave: Propriedade efetiva, Caracterizao, MEF, Onda Elstica. Abstract We estimate the elastic properties of digital rock samples through finite element simulations of wave propagation transmission experiment. We use an assembly-free approach for the stiffness matrix that explores the pixel-based structured mesh to decrease the memory required to store the computations. Further, we employ a diagonal Lumped-Mass matrix technique to overcome the difficulties related to the inversion and storage of the mass matrix. We adopt the Leapfrog integration, which is known for its combination of stability, precision, and efficiency. We have tested our implementation against theoretical predictions and analytical results obtained with the aid of the classical wave propagation theory. Lastly, we simulate the transmission test in a digital model attained via a micro-tomography and compare the results with the corresponding counterpart acquired via static finite element homogenization formulation. Keywords: Effective property, Characterization, FEM, Elastic Wave. $&*:<>xz|~+B*CJmHsHKHPJnHtH^JaJ_H9CJaJ$&(*<>z|~$a$A$$a$A$$a$A$;<0@PBP. A!n"n#n$n2P1h0p3P(20Root Entry F CompObjjOle 1TableSummaryInformation(WordDocument=DocumentSummaryInformation8"t