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《Chinese Journal of Geophysics》 1981-01
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PROBLEMS OF WAVE PROPAGATION IN POROUS,FLUID-SATURATED MEDIA

MEN FU-LU (Institute of Engineering Mechanics, Academia Sinica)  
A further development of the theory on the wave propagation in porous, fluid-saturated media presented by the writer in works (1,2) is made in this paper by taking account of the compressibility of fluids. After introducing an idea of quasi-microscopic continuous conditions, the basic system of dynamic equations of such media is established by combining the equations of the compressible fluid dynamics with those of the theory of elasticity or viscoelasticity. That there are two P waves; and one S wave was also proved.It is pointed out that the two phased media can be simplified by two ideal models according to their disperse state, seepage ability, constituent arrangement structure, etc.. For the case of our concern, model 2, the media are mechanically coupled by the seepage force, which can be assumed to obey Darcy's law, and the compatibility conditions in a unit volume. If the seepage flow can take place freely, for example, the case of saturated gravel strata as well as porous piastie materials, it is shown that one hydrodynamic wave into fluids and two solid stress waves into the solid skeleton can be set up, which, in particular cases, are of value to explain some geophysical and acoustic phenomena. In general cases, there are damping and dispersion effects.The significance of carefully distinguishing the two physical models is also discussed.
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