For elastically non-interacting vertical-fracture sets at arbitrary orientation angles to each other, I present a detailed model in which the resulting anisotropic fractured medium generally has orthorhombic symmetry overall. Some of the analysis methods and ideas of is that fracture-influence parameters are multiplied by a factor of (1 − B), where 0 ≤ B < 1 1 is Skempton's second coefficient for poroelastic media. Skempton's B coefficient is itself a measurable characteristic of fluid-saturated porous rocks, depending on porosity, solid moduli, and pore-fluid bulk modulus. For heterogeneous porous media, connections between the present work and earlier related results of Brown and Korringa are also established.2