  This work is devoted to investigating stochastic turbulence for the fluid
flow in one-dimensional viscous Burgers equation perturbed by L\'evy space-time
white noise with the periodic boundary condition. We rigorously discuss the
regularity of solutions and their statistical quantities in this stochastic
dynamical system. The quantities are such as the moment estimate, the structure
function and the energy spectrum of the turbulent velocity field. Furthermore,
we provide qualitative and quantitative properties of the stochastic Burgers
equation when the kinematic viscosity {\nu} tends towards zero. The inviscid
limit describes the strong stochastic turbulence.
