TY - GEN
T1 - Effect of Turbulent Flow in Pores on Elastic Wave Dispersion and Attenuation in Porous Media
AU - Duan, Yunda
AU - Hu, Hengshan
N1 - Publisher Copyright:
© ASCE.
PY - 2017
Y1 - 2017
N2 - Biot investigated wave attenuation and dispersion in a porous medium under laminar flow assumption. However, wave induced turbulent flow might occur in pores at frequencies higher than some threshold value. In this study, an oscillatory capillary turbulent flow model is developed to quantify the turbulent flow effect on wave attenuation and velocity dispersion in an isotropic porous medium. Prandtl's mixing length theory, the hydraulic smooth pipe model and the viscous skin depth concept are combined to analyze the turbulent resistance in a pipe and its influences on overall dynamic properties. We obtain a fully analytic, frequency-dependent viscosity correction factor, which is then used to modify generalized Darcy's formula for filtration under turbulence flow condition. The wave attenuation predicted by the modified model is greater than that predicted by Biot's model when frequency is higher than a threshold frequency. Numerical calculations show that this model degenerates into the Biot model when the frequency is lower than the threshold frequency. The modified model has potential application in sound absorption and transmission in air saturated porous media.
AB - Biot investigated wave attenuation and dispersion in a porous medium under laminar flow assumption. However, wave induced turbulent flow might occur in pores at frequencies higher than some threshold value. In this study, an oscillatory capillary turbulent flow model is developed to quantify the turbulent flow effect on wave attenuation and velocity dispersion in an isotropic porous medium. Prandtl's mixing length theory, the hydraulic smooth pipe model and the viscous skin depth concept are combined to analyze the turbulent resistance in a pipe and its influences on overall dynamic properties. We obtain a fully analytic, frequency-dependent viscosity correction factor, which is then used to modify generalized Darcy's formula for filtration under turbulence flow condition. The wave attenuation predicted by the modified model is greater than that predicted by Biot's model when frequency is higher than a threshold frequency. Numerical calculations show that this model degenerates into the Biot model when the frequency is lower than the threshold frequency. The modified model has potential application in sound absorption and transmission in air saturated porous media.
UR - https://www.scopus.com/pages/publications/85026288263
U2 - 10.1061/9780784480779.188
DO - 10.1061/9780784480779.188
M3 - 会议稿件
AN - SCOPUS:85026288263
T3 - Poromechanics 2017 - Proceedings of the 6th Biot Conference on Poromechanics
SP - 1516
EP - 1523
BT - Poromechanics 2017 - Proceedings of the 6th Biot Conference on Poromechanics
A2 - Dangla, Patrick
A2 - Pereira, Jean-Michel
A2 - Ghabezloo, Siavash
A2 - Vandamme, Matthieu
PB - American Society of Civil Engineers (ASCE)
T2 - 6th Biot Conference on Poromechanics, Poromechanics 2017
Y2 - 9 July 2017 through 13 July 2017
ER -