Numerical Upscaling of Seismic Signatures of Poroelastic Rocks Containing Mesoscopic Fluid‐Saturated Voids

We present a novel coupled fluid-poroelastic model and an associated numerical upscaling procedure to calculate seismic attenuation velocity dispersion in porous rocks induced by fluid pressure diffusion (FPD) the presence of mesoscopic fluid-saturated voids, such as, for example, vugs or factures. By applying appropriate interface conditions, proposed couples Navier-Stokes equations viscous fluids with Biot's poroelasticity voids embedding background, respectively. A finite element method is employed solve problem set three relaxation tests, which enables us compute complex-valued frequency-dependent equivalent stiffness matrix considered synthetic sample. The newly approach compared purely poroelastic one as well fluid-elastic benchmark containing interconnected fractures embedded background. obtain excellent agreement optimizing material properties latter, demonstrates both correctness advantages our over modeling voids. also observe that, while provide consistent results regard due fracture-to-fracture FPD, latter allows account effects fracture-to-background FPD. Finally, we employ methodology explore characteristics “vuggy” carbonate-type sample, visualize interpret resulting terms FPD between microscopic pores.