“…When studying the physical properties of anisotropic rocks, instead of using natural fractured samples (Sarout & Guéguen, 2008;Valcke et al, 2006), where the fracture parameters (e.g., fracture density and geometry) cannot be controlled, experimentalists usually employ synthetic materials to construct physical models that contain aligned penny-shaped fractures (Ass'ad et al, 1992;Ding et al, 2017;Rathore et al, 1995;Tillotson et al, 2012;Wang et al, 2015), although such geometries are not readily available in natural rocks. The idealization of fractures as penny-shape spheroids is recognized as a good assumption, because they (1) can capture some essential properties of the subsurface voids, (2) can provide intuitively simple parameterization of enormous complexity of the real fracture space, and (3) are relatively easily amenable to theoretical analysis (Gurevich et al, 2009).…”