摘要:Seismic data from sedimentary rocks usually exhibits attenuation levels than can
not be explained by existing theoretical models. An important dissipation
mechanism for waves in heterogeneous poroelastic media is the effect of
wave-induced fluid flow created by mesoscopic scale heterogeneities, known as
mesoscopic loss. Mesoscopic length scales are those larger than pore size but
smaller than wavelengths in the seismic range (1- 100 Hz). A typical
mesoscopic heterogeneity has a size of tens of centimeters. Mesoscopic
heterogeneities can be due to local variations in lithological properties or
to patches of immiscible fluids. For example, a fast compressional wave
traveling across a porous rock saturated with water and patches of gas
induces a greater fluid pressure in the gas patches than in the
water saturated parts of the material. This in turn generates fluid flow and
slow Biot waves which diffuse away from the gas-water interfaces generating
significant losses in the seismic range. In this work an iterative domain
decomposition finite element procedure is presented and employed to solve Biot’s
equations of motion for saturated poroelastic materials. The domain
decomposition procedure is naturally parallelizable, which is a necessity in
this type of simulations due to the large number of degrees of freedom needed
to accurately represent these attenuation effects. The numerical simulations,
run on a parallel computer, were designed to show the effects of the
wave-induced fluid flow on the traveling waves in the seismic range of
frequencies. The simulated recorded traces show evidence of the mesoscopic
loss mechanism in this type of materials.