id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ap-1017	Doutres, O.; Dauchez, N.; Genevaux, J.-M.; Dazel, O.	Validity of the One-Dimensional Limp Model for Porous Media	2008	5	.pdf	application/pdf	3568	180	61	Then, substituting the solid displacement in Eq. (2) gives the propagation equation on uf ~ ~ limK u upf f f� � �2 2 0� � , (7) with ~K f the bulk modulus of the air in the pores and ~ lim� p the modified density of the air. Assuming a harmonic time dependence, the equation of motion can be written in the following form [11]: � � � �� �� � � � 2 2 212 22 ~ ~~ ~ �� �u u P us f s , (1) � � � � � �� � � �2 12 2 22 2 2~ ~ ~ ~u u Q u R us f s f , (2) with ~ ~ ~ ~ ~� � � � � � � � � � � � 11 12 Q R , ~ ~ ~ ~ ~� � � � � � � � � � � � 12 22 Q R .	cache/ap-1017.pdf	txt/ap-1017.txt