  In this work, we show that the Tibetan Plateau deformation demonstrates a
turbulence-like statistics, e.g., spatial invariance cross continuous scales. A
dual-power-law behavior is evident to show the existence of two possible
conversation laws for the enstrophy-like cascade on the range $500\lesssim
r\lesssim 2,000\,\si{km}$ and kinetic-energy-like cascade on the range
$50\lesssim r\lesssim 500\,\si{km}$. The measured second-order
structure-function scaling exponents $\zeta(2)$ are similar with the
counterpart of the Fourier scaling exponents observed in the atmosphere, where
in the latter case the earth rotation is relevant. The turbulent statistics
observed here for nearly zero Reynolds number flow is favor to be interpreted
by the geostrophic turbulence theory. Moreover, the intermittency correction is
recognized with an intensity to be close to the one of the hydrodynamic
turbulence of high Reynolds number turbulent flows, implying a universal
scaling feature of very different turbulent flows. Our results not only shed
new light on the debate regarding the mechanism of the Tibetan Plateau
deformation, but also lead to new challenge for the geodynamic modelling using
Newton or non-Newtonian model that the observed turbulence-like features have
to be taken into account.
