Probing the flow permeability of porous media with elastic waves is a formidable challenge, also because the wave‐induced oscillatory motion renders the permeability frequency dependent. Existing theoretical models for such… Click to show full abstract
Probing the flow permeability of porous media with elastic waves is a formidable challenge, also because the wave‐induced oscillatory motion renders the permeability frequency dependent. Existing theoretical models for such a dynamic permeability assume that the frequency dependence is primarily controlled by a single characteristic length scale of the pore space. However, the fact that in most natural porous media there exists a distinct range of pore sizes is ignored. To overcome this limitation, we develop a dynamic permeability model that explicitly incorporates the pore size distribution. We show that the pore size distribution has a first‐order effect on the dynamic permeability. Since the pore size distribution can be deduced from techniques such as nuclear magnetic resonance, our results indicate the possibility to jointly use remote‐sensing technologies for improved permeability determination and cross‐fertilization of laboratory and in‐field techniques.
               
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