  In this paper, we study the Ricci flow on a closed manifold and finite time
interval $[0,T)~(T < \infty)$ on which certain integral curvature energies are
finite. We prove that in dimension four, such flow converges to a smooth
Riemannian manifold except for finitely many orbifold singularities. We also
show that in higher dimensions, the same assertions hold for a closed Ricci
flow satisfying another conditions of integral curvature bounds. Moreover, we
show that such flows can be extended over $T$ by an orbifold Ricci flow.
