Effective‐medium theories for fluid‐saturated materials with aligned cracks

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Porosity and elastic anisotropy of rocks under tectonic stress and pore-pressure changes (2005, background): “The term (φs0 +φs) is a stiff porosity supported by approximately equidimensional or equant pores (see also Thomsen, 1995; Hudson et al., 2001). The aspect ratio of such pores is typically larger than 0.1. Such a subdivision of porosity into compliant and stiff parts is very similar to the definitio”
Elastic properties of saturated porous rocks with aligned fractures (2003, background): “As discussed by Thomsen (1995) and Hudson et al. (2001), the sharp increase of esat results from the fact that when surrounded by (equant) pores, the fluid in the fracture has plenty of space around it to escape to when compressed, and therefore the fracture is almost as compliant as in the dry…”
P‐wave dispersion and attenuation in fractured and porous reservoirs – poroelasticity approach (2009, background): “This reflects the fact that in the highfrequency limit the fluid has no time to move in and out of the fractures and thus the fractures behave as if they were isolated, resulting in negligible normal compliance (Thomsen 1995; Hudson et al. 2001; Gurevich 2003).”