The Implication Of Core-mantle Boundary Topographic Coupling On The Earth Rotation

We propose a parametric approach to the topographic(TOP)coupling between the mantle and outer core for refinement of the latest triaxial three-layered Earth rotation theory.Based on four models of the core-mantle boundary(CMB)topography,we obtain the axial components of the TOP torque as-2.08×10¹⁹,-2.72×10¹⁸,-1.97×10¹⁷ and-1.82×10¹⁸ Nm,respectively.Under the frame of the triaxial three-layered Earth rotation theory,we solve the corresponding periods of free core nutation as-(329.83±28.12),-(457.54±?),-(428.23±1.09)and-(470.76±12.07)mean solar days(d),respectively.The other three normal modes,namely,Chandler wobble,inner core wobble and free inner core nutation,are almost not affected by the TOP coupling of the CMB,their period values being 433.24,2718.69and 934.02 d,respectively.Calculations show that the TOP torque is highly sensitive to the adopted model of the topography,which is known to be robust.Taking into account the normal modes of the triaxial three-layered Earth rotation,the results of the CMB topography obtained by seismic tomography can be constrained in the future to a certain extent.In this study,considering the TOP coupling with the appropriate topography model,the estimates for the dynamic ellipticity0)₁)of the fluid core lie between0.0026340 and 0.0026430,values that are 3.56%higher than the hydrostatic equilibrium value.