Effective medium methods are among the most powerful tools in the rock physics field. These methods allow to connect the rock microstructure parameters with its macroscopic physical properties. The design of a mathematical model of effective physical properties consists of three main steps: (1) construction of so-called \"conceptual model\"that mimics specific features of the rock microstructure; (2) the parametrization of the model; (3) the choice of the rock-physics method, which relates the model parameters to the physical properties. It is known that effective medium methods allow to predict the effective permeability for isotropic models via, for example, Bruggeman's approximation [26] proposed by [PERSON] [24; 27] or anisotropic models via more advanced methods like the GSA [28; 29] and T-matrix [30]. An example of application of effective medium theory (EMT) for the permeability estimation with the parameter \(f\) could be found in [31]. The authors applied the EMT (GSA method) for the effective permeability modeling for Barnett shale. They showed that for this modeling, the permeability of fluid-saturated zones should be dependent on the rock type and also specified (or inverted from the permeability measurements). Additionally, it was demonstrated that the \(f\)-parameter inverted from measured permeability has values similar to that inverted from the elastic wave velocities. In [32], the authors showed that the permeability of fluid-saturated zones depends on the fracture porosity to the power of 3. In this work, we apply rock-physics methods to quantify pore/crack connectivity in porous-fractured limestone. Note that the term \"crack\" is commonly used in theory, but the term \"fracture\" is usually applied in practice. We quantified the pore connectivity in terms of a parameter (\(f\)-parameter) entered in some of the rock-physics methods. We consider this factor as a measure of pore/crack connection via the existence of cracks at a smaller scale level, which connect the pores at a larger scale. Cracks are specified by aspect ratio related to their aperture and volume concentration: crack porosity. The volume fraction of these cracks in rock is assumed to be small (less than 2%). In practice, if we wish to obtain the connectivity (or crack parameters through the correlation with \(f\)-parameter) on the well-log scale, for example, we need some measurable property like elasticity (provided by sonic log). Then, solving the inverse problem for finding the parameters of the model, we will obtain the connectivity. Further, the fracture parameters could be inverted from the experimental data (for example, from elastic wave velocities, porosity, and density). The effective medium theory gives no possibility of taking into account the fracture length explicitly. The aspect ratio of fractures could be seen as the ratio of height to length of the fracture or as fracture aperture. If we consider the double porosity model, then we could evaluate the aspect ratio of fractures and their volume fraction. If we consider the \(f\)-model and the pores as \"round\" fractures, then we could evaluate their connectivity, aspect ratio, and volume fraction. In our work, we do not consider the inversion of the fracture parameters since we have another goal. Note that in all EMT methods, the void's size is not taken into account explicitly. Thus, the volume fraction of inclusions can be increased by the increasing the void's number but keeping their shape and size or by increasing the void's length and/or opening and keeping the void's number. In the case of elasticity, the EMT formulas give the same results for these two types of increasing the volume fraction of voids. However, when dealing with the effective permeability, as was shown by our previous modeling, the void's size should be implicitly incorporated in the permeability of so-called fluid-conductive zones [31; 32]. This parameter is included in the list of unknowns and inverted from experimentally measured permeability.