  In this work, we investigate the dynamics of quantum correlations captured by
entropic and geometric measures of discord under the influence of dissipative
channels for widely used two qubit X state with maximally mixed marginals.
Identifying the phenomena of the preservation, sudden change and revival of
quantum correlation quantifiers, we determine their hierarchy of robustness
under memory-less decoherence channels. We find the analytical expressions of
decoherence probabilities at which sudden change occur when the first qubit is
subjected to the decoherence channels for multiple times. We deduce the exact
analytical expression for the preservation time, the duration for which quantum
correlations remain unaffected by noise. We also find the time duration between
the two sudden change phenomena of trace distance discord, and show its inverse
proportionality to the number of times a channel operates on the state. The
constraint relations of decoherence probabilities corresponding to the sudden
change region and preservation phenomena are obtained when both the qubits are
subjected to locally independent quantum channels for multiple times. Our
investigation provides physical insights and possible practical implementation
of the discord measures in noisy environments.
