Determination of representative elementary volume (REV) for jointed rock masses exhibiting scale-dependent behavior: a numerical investigation

Abstract Representative elementary volume (REV) is defined as the usual size of a rock mass structure beyond which its mechanical properties are homogenous and isotropic, behavior can be modeled using equivalent continuum approach. Determination REV complex problem in engineering due to definition ambiguity application area. This study one first attempts define for jointed masses It aimed numerically search ratio between characteristic an pre-existing joint spacing, two most important contributing elements assessing REV. For this purpose, four hypothetical cases were investigated RS2 (Phase2 v. 9.0) finite element (FE) analysis program. An underground circular opening with constant diameter, open-pit mine varying bench heights, single height, powerhouse cavern known dimension executed possible changes safety factor total displacement measurements under several spacing values. Different cut-off REVs calculated FE models depending on type excavation measurement method. average 19.0, ranging minimum 2 tunnels maximum 48 slopes, was found numerical analysis. The sizes significantly larger than range values (5 10) commonly reported relevant geotechnical literature.