Research On Displacement Back Analysis Of Double Caverns In Transversely Isotropic Rock Mass

It is an effective method to invert the mechanical parameters of rock mass by using displacement back analysis method.At present,the research on displacement back analysis of transversely isotropic rock masses is only aimed at single caverns,and the study of double caverns and even caverns has not been conducted yet.In this paper,analytical solutions for the displacement of double holes in transversely isotropic rock masses are deduced,and the uniqueness of parameter identifiable conditions and back analysis is studied.Based on this,the study of transversal isotropic double-hole displacement back analysis further enriches and develops the theory of anisotropic rock mechanics.By using the Cauchy integration method and Schwarz's alternating method,the complex stress function of the double-circular caverns in the infinite domain is deduced,and the analytic solution of the displacement of the double circular caverns in the transversely isotropic rock mass is deduced by using the complex function tool.The accuracy of the analytical solution of the displacement is proved by the degeneracy verification and numerical examples.On this basis,the analytic solution of the displacement of double arbitrarily shaped caverns in a transversely isotropic rock mass is deduced by the conformal transformation and coordinate transformation.Using parameters identifiable conditions,the uniqueness of the back analysis of double circular holes displacement is studied in four different situations.It is found that The more parameters are known,the more identifiable the parameters are,and in the end,all parameters are back-analyzed.Based on the above research contents,the application cases of double circular holes displacement analysis in transversely isotropic face rock masses are studied.It is found that the results obtained by the inversion are accurate and the accuracy of the displacement back analysis was proved.