caa a22 4500 463163745 CHVBK 20180406164755.0 cr unu---uuuuu 170326e20070701xx s 000 0 eng 10.1007/s11242-006-9051-x doi (NATIONALLICENCE)springer-10.1007/s11242-006-9051-x A linear dynamic model for a saturated porous medium [Elektronische Daten] [Jian-Fei Lu, Andrzej Hanyga, Dong-sheng Jeng] A linear isothermal dynamic model for a porous medium saturated by a Newtonian fluid is developed in the paper. In contrast to the mixture theory, the assumption of phase separation is avoided by introducing a single constitutive energy function for the porous medium. An important advantage of the proposed model is it can account for the couplings between the solid skeleton and the pore fluid. The mass and momentum balance equations are obtained according to the generalized mixture theory. Constitutive relations for the stress, the pore pressure are derived from the total free energy accounting for inter-phase interaction. In order to describe the momentum interaction between the fluid and the solid, a frequency independent Biot-type drag force model is introduced. A temporal variable porosity model with relaxation accounting for additional attenuation is introduced for the first time. The details of parameter estimation are discussed in the paper. It is demonstrated that all the material parameters in our model can be estimated from directly measurable phenomenological parameters. In terms of the equations of motion in the frequency domain, the wave velocities and the attenuations for the two P waves and one S wave are calculated. The influences of the porosity relaxation coefficient on the velocities and attenuation coefficients of the three waves of the porous medium are discussed in a numerical example. Springer Science+Business Media, Inc., 2006 Porous media nationallicence Porosity nationallicence Dynamic model nationallicence Attenuation nationallicence Entropy inequality nationallicence Lu Jian-Fei Mathematics and Physics College of Jiangsu University, 212013, Zhenjiang, Jiangsu, P.R. China aut Hanyga Andrzej Department of Earth Science, University of Bergen, Allegaten 41, N5007, Bergen, Norway aut Jeng Dong-sheng School of Civil Engineering, The University of Sydney, 2006, Sydney, NSW, Australia aut Transport in Porous Media Kluwer Academic Publishers 68/3(2007-07-01), 321-340 0169-3913 68:3<321 2007 68 11242 https://doi.org/10.1007/s11242-006-9051-x text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11242-006-9051-x text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Lu Jian-Fei Mathematics and Physics College of Jiangsu University, 212013, Zhenjiang, Jiangsu, P.R. China aut NATIONALLICENCE 700 1- Hanyga Andrzej Department of Earth Science, University of Bergen, Allegaten 41, N5007, Bergen, Norway aut NATIONALLICENCE 700 1- Jeng Dong-sheng School of Civil Engineering, The University of Sydney, 2006, Sydney, NSW, Australia aut NATIONALLICENCE 773 0- Transport in Porous Media Kluwer Academic Publishers 68/3(2007-07-01), 321-340 0169-3913 68:3<321 2007 68 11242 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer