  The LHC energies are those at which the asymptotic regime in hadron-hadron
diffractive collisions ($pp,\pi p,\pi\pi$) might be switched on. Based on
results of the Dakhno-Nikonov eikonal model which is a generalization of the
Good-Walker eikonal approach for a continuous set of channels, we present a
picture for transformation of the constituent quark mode to the black disk one.
In the black disk mode ($\sqrt s \geq 10$ TeV) we have a growth of the
logarithm squared type for total and elastic cross sections,
$\sigma_{tot}\sim\ln^2s$ and $\sigma_{el}\sim\ln^2s$, and $(\tau={\bf
q}_\perp^2\sigma_{tot})$-scaling for diffractive scattering and diffractive
dissociation of hadrons. The diffractive dissociation cross section grows as
$\sigma_{D}\sim\ln{s}$, $\sigma_{DD}\sim\ln{s}$, and their relative
contribution tends to zero: $\sigma_{D}/\sigma_{tot}\to 0$,
$\sigma_{DD}/\sigma_{tot}\to 0$. Asymptotic characteristics of diffractive and
total cross sections are universal, and this results in the asymptotical
equality of cross sections for all types of hadrons (the Gribov's
universality). The energy scale for switching on the asymptotic mode is
estimated for different processes.
